Articoli correlati a Quantum Physics: A Functional Integral Point of View
Sinossi
Describes fifteen years' work which has led to the construc- tion of solutions to non-linear relativistic local field e- quations in 2 and 3 space-time dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions.
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Contenuti
Contents: An Introduction to Modern Physics: Quantum Theory.- Classical Statistical Physics.- The Feynman-Kac Formula.- Correlation Inequalities and the Lee-Yang Theorem.- Phase transitions and Critical Points. Field Theory.- Appendix to Part 1: Hilbert Space Operators and Function Space Integrals.- Function Space Integrals: Covariance Operator = Green's Function = Resolvent Kernel = Euclidean Propagator = Fundamental Solution.- Quantization = Integration over Function Space. - Calculus and Renormalization on Function Space.- Estimates Independent of Dimension.- Fields Without Cutoffs.- Regularity and Axioms. The Physics of Quantum Fields: Scattering Theory: Time-Dependent Methods.- Scattering Theory: Time-Independent Methods. The Magnetic Moment of the Electron. Phase Transition.- The U4 Critical Point.- The Cluster Expansion.- From Path Integrals to Quantum Mechanics.- The Polymer Expansion.- Random Walk Expansions.- Constructive Gauge Theory and Phase Cell Localization.- Other Directions.- Bibliography.- Index.
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