Continuous advances in QCD 2008 : proceedings of the conference, William I. Fine Theoretical Physics Institute, University of Minnesota, USA, 15-18 May 2008

CONTENTS......Page 8 FOREWORD......Page 6 1. High-Order Calculations in QCD and in General Gauge Theories......Page 12 1. Small-x evolution of color dipoles......Page 14 2. NLO evolution of color dipoles in QCD......Page 18 3. NLO evolution of color dipoles in N = 4 SYM......Page 22 References......Page 24 1. Introduction......Page 26 2. Calculation of NNLO corrections......Page 28 3. Helicity Fractions......Page 32 4.1. Charm-mass effects......Page 33 4.2. Intermediate recoil limit......Page 34 Acknowledgments......Page 35 References......Page 36 2. How We Use Perturbative QCD......Page 38 3. Factorization and Resummation......Page 40 4. The Classic Case: QT Resummation......Page 41 5. Poles in Color Exchange Amplitudes......Page 45 6. Summary......Page 49 References......Page 50 1. Introduction......Page 52 2. Possible Analytic Continuations......Page 54 3.1. One-loop same helicity gluon amplitudes......Page 58 3.2. Reference-Twistor Independence and One-Loop (- + +· · ·+) Amplitudes......Page 59 3.2.1. The Five-Point (-++++) Amplitude......Page 60 References......Page 65 2. Heavy Flavor Physics......Page 68 1. New c¯c mesons......Page 70 1.1. X(3872)......Page 71 2.1. Charmonium......Page 72 2.2. Charm meson molecules......Page 73 2.3. Tetraquark mesons......Page 74 2.4. Charmonium hybrids......Page 75 3. What is the X(3872)?......Page 76 References......Page 78 1. Introduction......Page 81 2. Strategy to search for new physics......Page 84 3. Theoretical framework and uncertainties......Page 86 References......Page 87 1. Introduction......Page 90 3. Standard Model ”background” in D 0 - D0 mixing......Page 92 4.1. New Phyiscs in | C| = 1 interactions.......Page 94 4.2. New Phyiscs in | C| = 2 interactions.......Page 95 5. Conclusions......Page 98 References......Page 99 1. Introduction......Page 101 2. R(s) and perturbative QCD......Page 102 3. Lattice gauge theory and perturbative QCD......Page 105 4. Summary......Page 106 References......Page 107 3. Quark-Gluon Dynamics at High Density and/or High Temperature......Page 110 1. Introduction......Page 112 1.2. Complex solutions of the NLSE......Page 116 1.3. Density of states......Page 120 References......Page 122 The Strong Coupling Constant at Low and High Energies J.H. K uhn......Page 125 References......Page 134 1. Quarkyonic Matter and the Large Nc limit of QCD......Page 136 3. Phenomenology and Speculation......Page 141 4. Conclusions......Page 143 References......Page 144 1. Introduction......Page 146 2. The random matrix model......Page 149 3. The chiral condensate from the eigenvalue density using orthogonal polynomials......Page 150 4. The Fourier transform of the eigenvalue density......Page 154 4.1. The asymptotic limit of the microscopic spectral density......Page 155 References......Page 157 1. Introduction......Page 159 2.1. Low Energy Effective Theory and Density Functional......Page 161 2.2. Epsilon Expansion......Page 162 3. Transport Properties......Page 165 3.1. Kinetic Theory......Page 166 3.2. Hydrodynamics......Page 168 4. Outlook......Page 169 References......Page 170 1. Introduction......Page 171 2. Phase Diagram of QCD......Page 172 3. Random Matrix Model at µ 6= 0......Page 174 4.2. Lesson 2: Quenched Limit......Page 175 4.4. Lesson 4: Infrared Dominance......Page 176 4.5. Lesson 5: Failure of Banks-Casher at µ 6= 0......Page 177 4.7. Lesson 7: Distribution of Small Dirac Eigenvalues......Page 179 4.8. Lesson 8: Equality Two Condensates......Page 180 5. Conclusions......Page 181 References......Page 182 4. Methods and Models of Holographic Correspondence......Page 186 1. Introduction......Page 188 2. A dynamical soft-wall model......Page 189 3. Discussion......Page 192 References......Page 193 1. Introduction......Page 195 3. Dilaton Flow Geometries......Page 196 3.1. Solution with no event horizon......Page 198 3.3. Interpretation......Page 199 4.2. D7 Branes and Quarks at T=0......Page 200 4.3. Thermodynamic computation......Page 203 4.4. The Deconfined Phase......Page 204 5. Conclusion......Page 205 References......Page 206 1. Introduction......Page 207 2. Correlators and sum rules......Page 208 3. IOPE......Page 209 4. Results and discussion......Page 211 References......Page 213 1. Introduction and Background......Page 214 2. Formalism......Page 215 3. Background and Chiral Symmetry-Breaking Fields......Page 217 4. Numerical Solutions......Page 218 References......Page 223 1. Introduction......Page 226 2. Dispersion relations and widths......Page 228 3. Discussion......Page 235 References......Page 236 1. Introduction......Page 238 2.1. Construction of QCD......Page 239 2.2. 5 dim YM-CS theory as a theory of mesons......Page 241 3. Baryons as instantons......Page 242 4. Quantization......Page 243 5. Currents......Page 244 6. Exploration......Page 245 6.1. Baryon number (isoscalar) current......Page 246 6.2. Isovector current......Page 247 7. Conclusion and Discussion......Page 248 References......Page 249 1. Introduction......Page 251 2. Generating function for chiral operators......Page 252 3. The moduli space of superconformal quivers......Page 254 4. The case of one brane: the master space......Page 256 5. The case of N branes......Page 258 References......Page 261 5. Topological Field Congurations......Page 264 1. Introduction......Page 266 2. Low-Energy E ective Action......Page 270 3. WZNW Term, Anomalies and Statistics......Page 272 4. Skyrmion Stability......Page 274 References......Page 276 1. Introduction......Page 278 2. The Simplest Example at Weak Coupling......Page 279 3. A Modified Seiberg–Witten framework......Page 283 4. Two Flavor Model......Page 287 References......Page 289 2.1. A fine-tuned model......Page 290 2.3. Vortex equations in the fine-tuned model......Page 291 2.4. BPS Limit......Page 292 3.1. (k1, k2) coincident vortices......Page 293 3.2. Effective potential for coincident vortices......Page 295 3.3. Interaction at generic vortex separation......Page 296 4.1. Equal gauge coupling = 1 revisited......Page 297 4.2. Different gauge couplings: 6= 1......Page 298 5.1. Vortices in ne-tuned models e = g and e = g......Page 299 5.2. Vortices with general couplings......Page 300 References......Page 301 1. Non-Abelian monopoles......Page 302 2. Light non-Abelian monopoles......Page 304 3. Non-Abelian vortices......Page 305 4. Dynamical Abelianization......Page 307 5. Non-Abelian vortices which do not dynamically reduce to ANO vortices......Page 308 References......Page 313 1. Introduction......Page 314 2. The Model and BPS Vortex Equations......Page 315 3. The Strong Coupling Limit and the BPS Lump Equations......Page 317 4. The Vortex-Lump Correspondence......Page 318 5. The Generalized Rational Map Construction for Lumps......Page 319 6. Moduli Space of Vortices......Page 321 7. Local (ANO-like) Vortices......Page 323 References......Page 324 6. Dynamics in Supersymmetric Theories......Page 326 1. Introduction......Page 328 2.1. Definition......Page 329 2.3. Strong Coupling Expansion from String Theory......Page 330 3.1. Wilson Operators and Anomalous Dimensions......Page 331 3.2. Integrable Spin Chain and Bethe Ansatz......Page 332 3.3. Large Spin Limit......Page 333 4.1. All-loop asymptotic Bethe ansatz......Page 334 4.3. BES Equation......Page 335 4.3.2. Solution at Strong Coupling......Page 336 5. Cusp Anomalous Dimension at Strong Coupling......Page 337 References......Page 338 1. Introduction......Page 340 2. Obtaining the Low Energy E ective Theory......Page 341 3. The SO(Nc) and USp(2Mc) K¨ahler Quotients......Page 342 4. The U(1) × SO(Nc) and U(1) × USp(2Mc) K¨ahler Quotients......Page 345 5. The SO(Nc), USp(2Mc) HyperK¨ahler Quotients......Page 346 6. 1/2 BPS states: NL M Lumps......Page 347 8. Lumps in U(1) × SO(Nc) K¨ahler Quotients......Page 349 Acknowledgments......Page 350 References......Page 351 7. Other Developments......Page 352 Gluinos Condensing at the CCNI: 4096 CPUs Weigh In J. Giedt, R. Brower, S. Catterall, G.T. Fleming, P. Vranas......Page 354 References......Page 359 1. Introduction......Page 362 2. Baryon masses......Page 364 References......Page 371 2.1. Fermion......Page 372 2.2. Photon......Page 374 3. Analysis in position space......Page 375 4.1. structure in Euclid space......Page 378 4.2. structure in Minkowski space......Page 380 5. Renormalization constant and order parameter......Page 381 6. Summary......Page 382 References......Page 383 1. Introduction......Page 384 2. Kinematics......Page 385 3. Scalar fields in Rindler spaces......Page 386 3.1. Scale invariant Hamiltonian......Page 388 3.2. Unruh heat bath......Page 389 4.1. QED and QCD in Rindler space time......Page 390 4.2. Electromagnetic fields in accelerated frames......Page 391 4.3. The electromagnetic Unruh heat bath......Page 392 4.4. Interaction energy of static charges in accelerated frames......Page 394 References......Page 396 1. Motivations......Page 397 2. Perturbative series in lattice gauge theory......Page 400 3. The Gluon Condensate......Page 401 4. Zeros of the Partition Function......Page 402 5. Approximate form of the density of state n(S) for SU(2)......Page 405 6. Conclusions......Page 406 References......Page 407 1. Introduction......Page 409 2. Dark Matter as Dense Nuggets......Page 410 3. Proposal:......Page 413 4. Proposal to Explain 1-20 MeV emission......Page 414 5. Explaining the WMAP Haze......Page 416 6. Conclusion......Page 419 References......Page 420 8. Glimpses of the Conference......Page 422 Pictures......Page 424 List of Participants......Page 444 CONTENTS......Page 8 FOREWORD......Page 6 1. High-Order Calculations in QCD and in General Gauge Theories......Page 12 1. Small-x evolution of color dipoles......Page 14 2. NLO evolution of color dipoles in QCD......Page 18 3. NLO evolution of color dipoles in N = 4 SYM......Page 22 References......Page 24 1. Introduction......Page 26 2. Calculation of NNLO corrections......Page 28 3. Helicity Fractions......Page 32 4.1. Charm-mass effects......Page 33 4.2. Intermediate recoil limit......Page 34 Acknowledgments......Page 35 References......Page 36 2. How We Use Perturbative QCD......Page 38 3. Factorization and Resummation......Page 40 4. The Classic Case: QT Resummation......Page 41 5. Poles in Color Exchange Amplitudes......Page 45 6. Summary......Page 49 References......Page 50 1. Introduction......Page 52 2. Possible Analytic Continuations......Page 54 3.1. One-loop same helicity gluon amplitudes......Page 58 3.2. Reference-Twistor Independence and One-Loop (- + +· · ·+) Amplitudes......Page 59 3.2.1. The Five-Point (-++++) Amplitude......Page 60 References......Page 65 2. Heavy Flavor Physics......Page 68 1. New c ̄c mesons......Page 70 1.1. X(3872)......Page 71 2.1. Charmonium......Page 72 2.2. Charm meson molecules......Page 73 2.3. Tetraquark mesons......Page 74 2.4. Charmonium hybrids......Page 75 3. What is the X(3872)?......Page 76 References......Page 78 1. Introduction......Page 81 2. Strategy to search for new physics......Page 84 3. Theoretical framework and uncertainties......Page 86 References......Page 87 1. Introduction......Page 90 3. Standard Model ”background” in D 0 - D0 mixing......Page 92 4.1. New Phyiscs in | C| = 1 interactions.......Page 94 4.2. New Phyiscs in | C| = 2 interactions.......Page 95 5. Conclusions......Page 98 References......Page 99 1. Introduction......Page 101 2. R(s) and perturbative QCD......Page 102 3. Lattice gauge theory and perturbative QCD......Page 105 4. Summary......Page 106 References......Page 107 3. Quark-Gluon Dynamics at High Density and/or High Temperature......Page 110 1. Introduction......Page 112 1.2. Complex solutions of the NLSE......Page 116 1.3. Density of states......Page 120 References......Page 122 The Strong Coupling Constant at Low and High Energies J.H. K uhn......Page 125 References......Page 134 1. Quarkyonic Matter and the Large Nc limit of QCD......Page 136 3. Phenomenology and Speculation......Page 141 4. Conclusions......Page 143 References......Page 144 1. Introduction......Page 146 2. The random matrix model......Page 149 3. The chiral condensate from the eigenvalue density using orthogonal polynomials......Page 150 4. The Fourier transform of the eigenvalue density......Page 154 4.1. The asymptotic limit of the microscopic spectral density......Page 155 References......Page 157 1. Introduction......Page 159 2.1. Low Energy Effective Theory and Density Functional......Page 161 2.2. Epsilon Expansion......Page 162 3. Transport Properties......Page 165 3.1. Kinetic Theory......Page 166 3.2. Hydrodynamics......Page 168 4. Outlook......Page 169 References......Page 170 1. Introduction......Page 171 2. Phase Diagram of QCD......Page 172 3. Random Matrix Model at μ 6= 0......Page 174 4.2. Lesson 2: Quenched Limit......Page 175 4.4. Lesson 4: Infrared Dominance......Page 176 4.5. Lesson 5: Failure of Banks-Casher at μ 6= 0......Page 177 4.7. Lesson 7: Distribution of Small Dirac Eigenvalues......Page 179 4.8. Lesson 8: Equality Two Condensates......Page 180 5. Conclusions......Page 181 References......Page 182 4. Methods and Models of Holographic Correspondence......Page 186 1. Introduction......Page 188 2. A dynamical soft-wall model......Page 189 3. Discussion......Page 192 References......Page 193 1. Introduction......Page 195 3. Dilaton Flow Geometries......Page 196 3.1. Solution with no event horizon......Page 198 3.3. Interpretation......Page 199 4.2. D7 Branes and Quarks at T=0......Page 200 4.3. Thermodynamic computation......Page 203 4.4. The Deconfined Phase......Page 204 5. Conclusion......Page 205 References......Page 206 1. Introduction......Page 207 2. Correlators and sum rules......Page 208 3. IOPE......Page 209 4. Results and discussion......Page 211 References......Page 213 1. Introduction and Background......Page 214 2. Formalism......Page 215 3. Background and Chiral Symmetry-Breaking Fields......Page 217 4. Numerical Solutions......Page 218 References......Page 223 1. Introduction......Page 226 2. Dispersion relations and widths......Page 228 3. Discussion......Page 235 References......Page 236 1. Introduction......Page 238 2.1. Construction of QCD......Page 239 2.2. 5 dim YM-CS theory as a theory of mesons......Page 241 3. Baryons as instantons......Page 242 4. Quantization......Page 243 5. Currents......Page 244 6. Exploration......Page 245 6.1. Baryon number (isoscalar) current......Page 246 6.2. Isovector current......Page 247 7. Conclusion and Discussion......Page 248 References......Page 249 1. Introduction......Page 251 2. Generating function for chiral operators......Page 252 3. The moduli space of superconformal quivers......Page 254 4. The case of one brane: the master space......Page 256 5. The case of N branes......Page 258 References......Page 261 5. Topological Field Congurations......Page 264 1. Introduction......Page 266 2. Low-Energy E ective Action......Page 270 3. WZNW Term, Anomalies and Statistics......Page 272 4. Skyrmion Stability......Page 274 References......Page 276 1. Introduction......Page 278 2. The Simplest Example at Weak Coupling......Page 279 3. A Modified Seiberg–Witten framework......Page 283 4. Two Flavor Model......Page 287 References......Page 289 2.1. A fine-tuned model......Page 290 2.3. Vortex equations in the fine-tuned model......Page 291 2.4. BPS Limit......Page 292 3.1. (k1, k2) coincident vortices......Page 293 3.2. Effective potential for coincident vortices......Page 295 3.3. Interaction at generic vortex separation......Page 296 4.1. Equal gauge coupling = 1 revisited......Page 297 4.2. Different gauge couplings: 6= 1......Page 298 5.1. Vortices in ne-tuned models e = g and e = g......Page 299 5.2. Vortices with general couplings......Page 300 References......Page 301 1. Non-Abelian monopoles......Page 302 2. Light non-Abelian monopoles......Page 304 3. Non-Abelian vortices......Page 305 4. Dynamical Abelianization......Page 307 5. Non-Abelian vortices which do not dynamically reduce to ANO vortices......Page 308 References......Page 313 1. Introduction......Page 314 2. The Model and BPS Vortex Equations......Page 315 3. The Strong Coupling Limit and the BPS Lump Equations......Page 317 4. The Vortex-Lump Correspondence......Page 318 5. The Generalized Rational Map Construction for Lumps......Page 319 6. Moduli Space of Vortices......Page 321 7. Local (ANO-like) Vortices......Page 323 References......Page 324 6. Dynamics in Supersymmetric Theories......Page 326 1. Introduction......Page 328 2.1. Definition......Page 329 2.3. Strong Coupling Expansion from String Theory......Page 330 3.1. Wilson Operators and Anomalous Dimensions......Page 331 3.2. Integrable Spin Chain and Bethe Ansatz......Page 332 3.3. Large Spin Limit......Page 333 4.1. All-loop asymptotic Bethe ansatz......Page 334 4.3. BES Equation......Page 335 4.3.2. Solution at Strong Coupling......Page 336 5. Cusp Anomalous Dimension at Strong Coupling......Page 337 References......Page 338 1. Introduction......Page 340 2. Obtaining the Low Energy E ective Theory......Page 341 3. The SO(Nc) and USp(2Mc) K ̈ahler Quotients......Page 342 4. The U(1) × SO(Nc) and U(1) × USp(2Mc) K ̈ahler Quotients......Page 345 5. The SO(Nc), USp(2Mc) HyperK ̈ahler Quotients......Page 346 6. 1/2 BPS states: NL M Lumps......Page 347 8. Lumps in U(1) × SO(Nc) K ̈ahler Quotients......Page 349 Acknowledgments......Page 350 References......Page 351 7. Other Developments......Page 352 Gluinos Condensing at the CCNI: 4096 CPUs Weigh In J. Giedt, R. Brower, S. Catterall, G.T. Fleming, P. Vranas......Page 354 References......Page 359 1. Introduction......Page 362 2. Baryon masses......Page 364 References......Page 371 2.1. Fermion......Page 372 2.2. Photon......Page 374 3. Analysis in position space......Page 375 4.1. structure in Euclid space......Page 378 4.2. structure in Minkowski space......Page 380 5. Renormalization constant and order parameter......Page 381 6. Summary......Page 382 References......Page 383 1. Introduction......Page 384 2. Kinematics......Page 385 3. Scalar fields in Rindler spaces......Page 386 3.1. Scale invariant Hamiltonian......Page 388 3.2. Unruh heat bath......Page 389 4.1. QED and QCD in Rindler space time......Page 390 4.2. Electromagnetic fields in accelerated frames......Page 391 4.3. The electromagnetic Unruh heat bath......Page 392 4.4. Interaction energy of static charges in accelerated frames......Page 394 References......Page 396 1. Motivations......Page 397 2. Perturbative series in lattice gauge theory......Page 400 3. The Gluon Condensate......Page 401 4. Zeros of the Partition Function......Page 402 5. Approximate form of the density of state n(S) for SU(2)......Page 405 6. Conclusions......Page 406 References......Page 407 1. Introduction......Page 409 2. Dark Matter as Dense Nuggets......Page 410 3. Proposal:......Page 413 4. Proposal to Explain 1-20 MeV emission......Page 414 5. Explaining the WMAP Haze......Page 416 6. Conclusion......Page 419 References......Page 420 8. Glimpses of the Conference......Page 422 Pictures......Page 424 List of Participants......Page 444 1. High-order calculations in QCD and in general gauge theories. NLO evolution of color dipoles / I. Balitsky. Recent perturbative results on heavy quark decays / J.H. Piclum, M. Dowling, A. Pak. Leading and non-leading singularities in gauge theory hard scattering / G. Sterman. The space-cone gauge, Lorentz invariance and on-shell recursion for one-loop Yang-Mills amplitudes / D. Vaman, Y.-P. Yao -- 2. Heavy flavor physics. Exotic cc̄ mesons / E. Braaten. Search for new physics in B[symbol]-mixing / A.J. Lenz. Implications of D[symbol]-D[symbol] mixing for new physics / A.A. Petrov. Precise determinations of the charm quark mass / M. Steinhauser -- 3. Quark-gluon dynamics at high density and/or high temperature. Crystalline condensate in the chiral Gross-Neveu model / G.V. Dunne, G. Basar. The strong coupling constant at low and high energies / J.H. Kühn. Quarkyonic matter and the phase diagram of QCD / L. McLerran. Statistical QCD with non-positive measure / J.C. Osborn, K. Splittorff, J.J.M. Verbaarschot. From equilibrium to transport properties of strongly correlated fermi liquids / T. Schäfer. Lessons from random matrix theory for QCD at finite density / K. Splittorff, J.J.M. Verbaarschot -- 4. Methods and models of holographic correspondence. Soft-wall dynamics in AdS/QCD / B. Batell. Holographic QCD / N. Evans, E. Threlfall. QCD glueball sum rules and vacuum topology / H. Forkel. The pion form factor in AdS/QCD / H.J. Kwee, R.F. Lebed. The fast life of holographic mesons / R.C. Myers, A. Sinha. Properties of Baryons from D-branes and instantons / S. Sugimoto. The master space of N = 1 quiver gauge theories : counting BPS operators / A. Zaffaroni. Topological field congurations. Skyrmions in theories with massless adjoint quarks / R. Auzzi. Domain walls, localization and confinement : what binds strings inside walls / S. Bolognesi. Static interactions of non-abelian vortices / M. Eto. Vortices which do not abelianize dynamically : semi-classical origin of non-abelian monopoles / K. Konishi. A generalized construction for lumps and non-abelian vortices / W. Vinci -- 6. Dynamics in supersymmetric theories. Cusp anomalous dimension in planar maximally supersymmetric Yang-Mills theory / B. Basso. SO(2M) and USp(2M) (hyper)Kähler quotients and lumps / S.B. Gudnason -- 7. Other developments. Gluinos condensing at the CCNI : 4096 CPUs weigh in / J. Giedt [und weitere]. Baryon Regge trajectories and the 1/N[symbol] expansion / J.L. Goity, N. Matagne. Infrared behavior of the fermion propagator in unquenched QED[symbol] with finite threshold effects / Y. Hoshino. Gauge fields in accelerated frames / F. Lenz. QCD at complex coupling, large order in perturbation theory and the gluon condensate / Y. Meurice. 511 KeV line and other diffuse emissions as a trace of the dark matter / A.R. Zhitnitsky -- 8. Glimpses of the conference

The volume contains the proceedings of the workshop Continuous Advances in QCD 2008, hosted by the William I. Fine Theoretical Physics Institute on May 15-18, 2008. This biennial workshop was the eight meeting of the series, held at the University of Minnesota since 1994.