Classical Dirichlet forms on topological vector spaces—closability and a Cameron-Martin formula

S Albeverio, M Röckner - Journal of functional analysis, 1990‏ - Elsevier
We prove a sufficient condition for the closability of classical Dirichlet forms on L 2 (E; μ)
which is also necessary if all components of the Dirichlet form are closable. Here E is a …

Coulomb systems at low density: a review

DC Brydges, PA Martin - Journal of Statistical Physics, 1999‏ - Springer
Results on the correlations of low-density classical and quantum Coulomb systems at
equilibrium in three dimensions are reviewed. The exponential decay of particle correlations …

[کتاب][B] PCT, spin and statistics, and all that

RF Streater, AS Wightman - 2000‏ - books.google.com
PCT, Spin and Statistics, and All That is the classic summary of and introduction to the
achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical …

[کتاب][B] Quantum physics: a functional integral point of view

J Glimm, A Jaffe - 2012‏ - books.google.com
Page 1 m(T) James Glimm Arthur Jaffe Quantum Physics Second Edition A Functional Integral
Point of View T Springer-Verlag T Page 2 Quantum Physics Page 3 James Glimm Arthur Jaffe …

[PDF][PDF] Axioms for Euclidean Green's functions. II [with an Appendix by Stephen Summers]

K Osterwalder, R Schrader - 1975‏ - projecteuclid.org
Axioms for Euclidean Green's Functions II Page 1 Commun. math. Phys. 42, 281—305 (1975)
© by Springer-Verlag 1975 Axioms for Euclidean Green's Functions II Konrad Osterwalder …

Quantum computation of scattering in scalar quantum field theories

SP Jordan, KSM Lee, J Preskill - arxiv preprint arxiv:1112.4833, 2011‏ - arxiv.org
Quantum field theory provides the framework for the most fundamental physical theories to
be confirmed experimentally and has enabled predictions of unprecedented precision …

Quantum yang-mills theory

A Jaffe, E Witten - The millennium prize problems, 2006‏ - books.google.com
Since the early part of the 20th century, it has been understood that the description of nature
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …

[کتاب][B] Mathematics of quantization and quantum fields

J Dereziński, C Gérard - 2013‏ - library.oapen.org
Unifying topics that are scattered throughout the literature, this book offers a definitive review
of mathematical aspects of quantization and quantum field theory. It presents both basic and …

The random walk representation of classical spin systems and correlation inequalities

D Brydges, J Fröhlich, T Spencer - Communications in Mathematical …, 1982‏ - Springer
Ferromagnetic lattice spin systems can be expressed as gases of random walks interacting
via a soft core repulsion. By using a mixed spinrandom walk representation we present a …

The P (φ) 2 Euclidean quantum field theory as classical statistical mechanics

F Guerra, L Rosen, B Simon - Annals of Mathematics, 1975‏ - JSTOR
I. Introduction In the last decade there has been considerable progress in the areas of
constructive quantum field theory and rigorous statistical mechanics. Both disciplines, as …