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Author Fried, Herbert Martin
Title Modern Functional Quantum Field Theory : Summing Feynman Graphs
Imprint Singapore : World Scientific Publishing Company, 2013
©2014
book jacket
Descript 1 online resource (281 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Intro -- Contents -- Preface -- Basic Preliminaries -- 1. Quantum Field Theory - Why and How -- 1.1 Schwinger's Action Principle -- 1.2 Free-Field Kinematics -- 2. Functional Preliminaries -- 2.1 Functional Differentiation -- 2.2 Linear Translation -- 2.3 Quadratic (Gaussian) Translation -- 2.4 Functional Integration -- 2.5 Cluster Decomposition -- 2.6 Two Useful Relations -- 3. Functional Field Theory -- 3.1 The Generating Functional -- 3.2 A Gauge Digression: SU(N)-QCD -- 3.3 Coupled Fermion and Boson Fields -- 3.4 Fields at the Same Point -- 4. The Generating Functional and the S-Matrix -- 4.1 The Generating Functional Operator -- 4.2 Asymptotic Conditions -- 4.3 The S-Matrix -- 4.4 A Bremsstrahlung Example -- 5. Schwinger/Fradkin Representations -- 5.1 Formalism -- 5.2 Gauge Structure -- 5.3 The Bloch-Nordsieck - IR - Eikonal Approximation -- 5.4 A Convenient Reformulation -- Quantum Electrodynamics -- Quantum Electrodynamics -- 6. Radiative Corrections of the Photon Propagator -- 6.1 Functional Approach to the Photon Propagator -- 6.2 Higher-order Radiative Correction -- 6.3 The DP Model for a Single Closed Fermion Loop -- 6.4 The Extended DP Model, and the Finiteness of Z3 -- 6.5 Summary -- 7. Radiative Corrections to the Electron Propagator -- 7.1 Introduction -- 7.2 Formulation -- 7.3 Computation -- 7.4 Summary -- 8. A QED Symmetry-Breaking Model of Vacuum Energy -- 8.1 Introduction -- 8.2 Formulation -- 8.3 Approximation -- 8.4 Computation -- 8.5 Application to Dark Energy -- 8.6 Partial Summary -- Quantum Chromodynamics -- Quantum Chromodynamics -- 9. Explicit, Non-Perturbative Gauge Invariance -- 9.1 From QED to QCD -- 9.2 Gluon Summations and Explicit Gauge Invariance -- 9.3 Effective Locality -- 10. QCD Transverse Fluctuations -- 10.1 Introduction -- 10.2 A Phenomenological Expression of Transverse Imprecision -- 10.3 Bundle Diagrams
11. Quark Binding Potential -- 11.1 Use of the Eikonal Approximation -- 11.2 Estimation of the "Model Pion" Mass -- 12. Nucleon Scattering and Binding -- 12.1 Introduction -- 12.2 Formulation -- 12.3 A Qualitative Binding Potential -- 12.4 Binding Estimations -- 12.5 Summary and Speculation -- Astrophysical Speculations -- Astrophysical Speculations -- 13. Inflation as the Precursor of Dark Energy -- 13.1 Introduction -- 13.2 Computation -- 13.3 A Cosmological Speculation -- 13.4 Summary -- 14. Quantum Tachyon Dynamics -- 14.1 Introduction -- 14.2 QTD as a QFT -- 14.3 Functional QTD -- 14.4 Photon Emission and Reabsorption -- 14.5 Kinematic of Tachyon-Particle Reactions -- 14.5.1 Blocking the reaction T + T -- 14.5.2 Scattering: T + p = T' + p' -- 14.6 From Ehrenfest's Theorem to Loop Annihilation -- 14.7 NASA's Fermi Bubbles -- 14.8 Summary -- Acknowledgment -- Appendix A Equivalence Example of the DP Model -- Appendix B Intuitive Justification of the DP Model -- Appendix C Connected Cluster-Expansion Functionals -- Appendix D Fradkin's Representations for non-Abelian Gc[A] and L[A] -- Appendix E Effective Locality and Transverse Imprecision -- Appendix F Tachyonic Photon Emission -- Appendix G Relativistic Tachyon Notation -- G.1 Free Tachyon Equation -- G.2 Plane Wave Solutions -- G.2.1 Positive energy solutions -- G.2.2 Negative energy solutions -- G.3 Some Useful Formulae, Valid for | ≥ M -- G.4 "Spin" of the Tachyon -- G.5 Quantization -- G.6 Tachyonic States -- First Epilogue -- Second Epilogue -- Bibliography
Key Features:Contains an explicit, non-perturbative QED argument suggesting that charge renormalization is finiteContains an explicit, new, gauge-invariant formulation of QCD, including an analytic derivation of quark binding potentials, and the first analytic extraction of Nuclear Physics from fundamental QCD: a deuteron-like potential which can bind two nucleonsContains a set of QFT Conjectures and their Astrophysical Consequences
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: Fried, Herbert Martin Modern Functional Quantum Field Theory: Summing Feynman Graphs Singapore : World Scientific Publishing Company,c2013 9789814415873
Subject Quantum field theory.;Feynman diagrams
Electronic books
Alt Author Fried, Herbert M
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