Quantum field theory and beyond : essays in honor of Wolfhart Zimmermann : proceedings of the symposium in honor of Wolfhart Zimmermann's 80th birthday, Ringberg Castle, Tegernsee, Germany, 3-6 February 2008

this Book Contains A Collection Of Essays Written In Honor Of Wolfhart Zimmermann's 80th Birthday, Most Of Them Based On Talks Presented At A Symposium In His Honor. the Book Shows The Unifying Force Of A Subject (quantum Field Theory) And A Person (zimmermann). It Ranges From Fundamental Questions In Quantum Physics Over Applications To Particle Physics And Noncommutative Geometry To The Latest Developments In Many Body Theory And Dynamical Systems. These Key Ideas Are Elucidated By Worldwide-recognized Experts Including Faddeev, Becchi, Buchholz, Lowenstein And Salmhofer. readers Seeking Examples On How A Subject Has Evolved, Diversified And Deepened Over The Course Of Several Decades And How A Single Person Can Influence This Process Can Find Here A Perfect Illustration. Altogether, Readers Are Treated To A High-brow Intellectual Adventure. CONTENTS......Page 8 Preface......Page 6 1. Introduction......Page 10 2. The renormalization group evolution equations......Page 12 3. Comparison with Zimmermann’s subtraction approach......Page 16 4. Conclusions......Page 22 References......Page 24 1. Introduction......Page 25 2. The Model......Page 26 3. Wightman Gauges......Page 29 4. The Unitary Gauge......Page 32 5. Renormalizability......Page 35 6. The Non-Abelian Case......Page 39 References......Page 42 1. The pQCD Overview......Page 43 2.1. APT - General......Page 46 2.2. The APT Algorithm......Page 47 2.3. APT functions at LE region......Page 48 3. Low Energy APT Application......Page 49 3.1. APT and bosonic spectrum......Page 50 3.2. Bjorken sum rule......Page 51 Acknowledgements......Page 52 References......Page 53 1. Introduction......Page 55 2.2. Tensor products......Page 56 2.3. Finite groups of lower orders......Page 57 3. The dihedral group......Page 58 3.1. Matrix presentations of DN and Q2N......Page 59 3.2. Irreducible representations of DN and QN......Page 60 3.3. Tensor products......Page 63 3.4. Q6 as an example......Page 65 4. The model......Page 66 4.1. Predictions......Page 68 5. Zum Scluss......Page 69 References......Page 70 1. Introduction......Page 73 2. Twisting Poincar ́e group and Minkowski spacetime......Page 77 3. Revisiting Wightman axioms for QFT and their consequences......Page 82 4. Free or interacting scalar field......Page 86 5. Conclusions. What do we learn?......Page 89 References......Page 90 2. Introduction......Page 94 3. Formulation of nc QFT on Moyal space......Page 96 4. Renormalization......Page 98 4.1. Matrix representation......Page 99 4.2. The Polchinski equation for matrix models......Page 101 4.3. 4-theory on noncommutative R2......Page 103 4.4. 4-theory on noncommutative R4......Page 105 5. Taming the Landau ghost......Page 106 6. Induced Gauge Theory......Page 107 7. FERMIONS A spectral triple......Page 109 8. Wedge-local QFT......Page 110 9. Conclusion......Page 113 References......Page 114 1. Introduction......Page 116 2. Warped convolutions......Page 117 3. Deformations of quantum field theories......Page 121 4. Concluding remarks......Page 128 References......Page 130 1. Introduction......Page 131 2. Quantum Fields on Curved Spacetime......Page 136 3. Quantum Energy Inequalities......Page 141 4. Local Thermal Equilibrium (LTE) States......Page 144 5. Discussion......Page 146 References......Page 147 1. Introduction......Page 150 2. Massive Brane Vectors......Page 152 3. Collider Bounds On Brane Vector Parameter Space......Page 156 References......Page 163 2. Introduction......Page 165 3. Nonlinear -model......Page 166 4. Two component Landau-Ginzburg-Gross-Pitaevsky equation......Page 169 5. SU(2) Yang-Mills theory......Page 171 References......Page 174 1. Introduction......Page 176 2. The problem and the main result......Page 178 3.1. Collision histories......Page 181 3.2. Disorder average and graphs......Page 182 3.3. Graph bounds......Page 183 3.4. Expansions to finite order and remainder terms......Page 185 3.5. Long time scale: Renormalization......Page 186 3.6. The key estimate for controlling combinatorics......Page 188 4. Conclusion......Page 189 References......Page 190 1. Introduction......Page 192 2.1. Rayleigh-B ́enard convection experiment......Page 194 2.2. Logistic map......Page 196 3. Chaotic and pseudochaotic kicked oscillators......Page 202 References......Page 214 Author Index......Page 216