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Author Seiler, Erhard
Title Quantum Field Theory And Beyond : Essays in Honor of Wolfhart Zimmermann - Proceedings of the Symposium in Honor of Wolfhart Zimmermann's 80th Birthday
Imprint Singapore : World Scientific Publishing Company, 2008
©2008
book jacket
Descript 1 online resource (216 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Intro -- CONTENTS -- Preface -- Zimmermann's Subtraction Scheme and the Perturbative Solution to the Renormalization Group Evolution Equations C. Becchi -- 1. Introduction -- 2. The renormalization group evolution equations -- 3. Comparison with Zimmermann's subtraction approach -- 4. Conclusions -- References -- A New Look at the Higgs-Kibble Model O. Steinmann -- 1. Introduction -- 2. The Model -- 3. Wightman Gauges -- 4. The Unitary Gauge -- 5. Renormalizability -- 6. The Non-Abelian Case -- References -- Large Regular QCD Coupling at Low Energy? D. V. Shirkov -- 1. The pQCD Overview -- 2. Analytic Perturbation Theory -- 2.1. APT - General -- 2.2. The APT Algorithm -- 2.3. APT functions at LE region -- 3. Low Energy APT Application -- 3.1. APT and bosonic spectrum -- 3.2. Bjorken sum rule -- 4. APT in QCD: Conclusion -- Acknowledgements -- References -- The Dihedral Group as a Family Group J. Kubo -- 1. Introduction -- 2. Finite groups -- 2.1. Character table -- 2.2. Tensor products -- 2.3. Finite groups of lower orders -- 3. The dihedral group -- 3.1. Matrix presentations of DN and Q2N -- 3.2. Irreducible representations of DN and QN -- 3.3. Tensor products -- 3.4. Q6 as an example -- 4. The model -- 4.1. Predictions -- 5. Zum Scluss -- References -- On the Consequences of Twisted Poincaŕe Symmetry Upon QFT on Moyal Noncommutative Spaces G. Fiore -- 1. Introduction -- 2. Twisting Poincaŕe group and Minkowski spacetime -- 3. Revisiting Wightman axioms for QFT and their consequences -- 4. Free or interacting scalar field -- 5. Conclusions. What do we learn? -- Acknowledgments -- References -- Taming the Landau Ghost in Noncommutative Quantum Field Theory H. Grosse -- 1. Preface -- 2. Introduction -- 3. Formulation of nc QFT on Moyal space -- 4. Renormalization -- 4.1. Matrix representation -- 4.2. The Polchinski equation for matrix models
4.3. 4-theory on noncommutative R2 -- 4.4. 4-theory on noncommutative R4 -- 5. Taming the Landau ghost -- 6. Induced Gauge Theory -- 7. FERMIONS A spectral triple -- 8. Wedge-local QFT -- 9. Conclusion -- 10. Acknowledgments and Appendices -- References -- Warped Convolutions: A Novel Tool in the Construction of Quantum Field Theories D. Buchholz and S. J. Summers -- 1. Introduction -- 2. Warped convolutions -- 3. Deformations of quantum field theories -- 4. Concluding remarks -- References -- Quantum (or Averaged) Energy Inequalities in Quantum Field Theory R. Verch -- 1. Introduction -- 2. Quantum Fields on Curved Spacetime -- 3. Quantum Energy Inequalities -- 4. Local Thermal Equilibrium (LTE) States -- 5. Discussion -- References -- Field Theory and Brane Dynamics T. E. Clark -- 1. Introduction -- 2. Massive Brane Vectors -- 3. Collider Bounds On Brane Vector Parameter Space -- References -- Knots as Possible Excitations of the Quantum Yang-Mills Fields L. D. Faddeev -- 1. Dedication -- 2. Introduction -- 3. Nonlinear -model -- 4. Two component Landau-Ginzburg-Gross-Pitaevsky equation -- 5. SU(2) Yang-Mills theory -- References -- Feynman Graphs and Renormalization in Quantum Di usion L. Erd˝os, M. Salmhofer and H.-T. Yau -- 1. Introduction -- 2. The problem and the main result -- 3. Collision histories, Feynman graphs, and ladders -- 3.1. Collision histories -- 3.2. Disorder average and graphs -- 3.3. Graph bounds -- 3.4. Expansions to finite order and remainder terms -- 3.5. Long time scale: Renormalization -- 3.6. The key estimate for controlling combinatorics -- 4. Conclusion -- References -- Renormalization in Chaotic and Pseudochaotic Dynamical Systems J. H. Lowenstein -- 1. Introduction -- 2. Period-doubling cascade -- 2.1. Rayleigh-B́enard convection experiment -- 2.2. Logistic map -- 3. Chaotic and pseudochaotic kicked oscillators
References -- Author Index
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
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Seiler, Erhard Quantum Field Theory And Beyond: Essays In Honor Of Wolfhart Zimmermann - Proceedings Of The Symposium In Honor Of Wolfhart Zimmermann's 80th Birthday Singapore : World Scientific Publishing Company,c2008 9789812833549
Subject Quantum field theory -- Congresses.;Field theory (Physics) -- Congresses
Electronic books
Alt Author Sibold, Klaus
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