P(0)2 Euclidean (Quantum) Field Theory (eBook)

Barry Simon (Autor)

eBook Download: PDF

2015 | 1. Auflage
414 Seiten
Princeton University Press (Verlag)
978-1-4008-6875-9 (ISBN)

Infos

Barry Simon's book both summarizes and introduces the remarkable progress in constructive quantum field theory that can be attributed directly to the exploitation of Euclidean methods. During the past two years deep relations on both the physical level and on the level of the mathematical structure have been either uncovered or made rigorous. Connections between quantum fields and the statistical mechanics of ferromagnets have been established, for example, that now allow one to prove numerous inequalities in quantum field theory.In the first part of the book, the author presents the Euclidean methods on an axiomatic level and on the constructive level where the traditional results of the P(o)2 theory are translated into the new language. In the second part Professor Simon gives one of the approaches for constructing models of non-trivial, two-dimensional Wightman fields-specifically, the method of correlation inequalities. He discusses other approaches briefly.Drawn primarily from the author's lectures at the Eidenossiehe Technische Hochschule, Zurich, in 1973, the volume will appeal to physicists and mathematicians alike; it is especially suitable for those with limited familiarity with the literature of this very active field.Originally published in 1974.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Produkt-Details

• Erscheint lt. Verlag: 8.3.2015
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Series in Physics
• Reihe/Serie: Princeton Series in Physics
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik
• Schlagworte: Abelian von Neumann algebra • Approximation • Approximation Theory • Axiom • Banach space • Bessel function • Bessel's Inequality • Bifurcation Theory • Bochner's theorem • Boundary value problem • Bounded set (topological vector space) • Cauchy's Integral Theorem • central limit theorem • Characteristic function (probability theory) • Choquet theory • commutative property • Complexification (Lie group) • Constructive Quantum Field Theory • Continuous function (set theory) • Correlation function (quantum field theory) • Degeneracy (mathematics) • Dirichlet boundary condition • Eigenfunction • Euclidean field • Euclidean space • Expectation value (quantum mechanics) • Feynman–Kac formula • FeynmanЋac formula • Field (physics) • Field strength (theoretical physics) • Fock space • Fubini's Theorem • Fundamental lemma (Langlands program) • Gaussian measure • Gaussian process • Heisenberg model (quantum) • hilbert space • Imaginary Time • Independence (probability theory) • Infinite product • Infinitesimal generator (stochastic processes) • Invertible matrix • Lagrangian (field theory) • Laplace transform • Locally integrable function • Lorentz covariance • Lorentz Group • Lorentz transformation • Lp space • Markov process • Markov Property • markov random field • Mathematical Induction • Measure (mathematics) • Mehler kernel • Minlos' theorem • monotone convergence theorem • Monotonic Function • Non-Euclidean geometry • Norm (mathematics) • Nuclear space • Open mapping theorem (complex analysis) • Operator (physics) • Orthonormal basis • perturbation theory • Perturbation theory (quantum mechanics) • physical cosmology • Plancherel theorem • polynomial • Probability Theory • Projection (linear algebra) • quantum electrodynamics • quantum field theory • quantum mechanics • Quotient space (topology) • Radon–Nikodym theorem • RadonЎikodym theorem • Random Variable • Relativistic Quantum Mechanics • renormalization • Riemann sum • Rolle's theorem • Scalar field theory • Schwinger function • sigma-algebra • Sign (mathematics) • Sobolev Space • Spectral Theorem • Statistical Mechanics • Stone–Weierstrass theorem • StoneЗeierstrass theorem • symmetrization • Taylor's theorem • Theorem • theory • Translational symmetry • two-dimensional space • uniqueness theorem • Vitali theorem • Von Neumann algebra • Whitney extension theorem • Wick's theorem • Wightman axioms
• ISBN-10: 1-4008-6875-0 / 1400868750
• ISBN-13: 978-1-4008-6875-9 / 9781400868759