[BOOK][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 …

[BOOK][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 …

Renormalization theory and ultraviolet stability for scalar fields via renormalization group methods

G Gallavotti - Reviews of Modern Physics, 1985 - APS
A self-contained analysis is given of the simplest quantum fields from the renormalization
group point of view: multiscale decomposition, general renormalization theory …

[PDF][PDF] The free Markoff field

E Nelson - Journal of Functional Analysis, 1973 - core.ac.uk
In a previous paper [18] we showed how to construct quantum fields from certain Markoff
fields. In this paper we discuss the free Markoff field of mass m on d-dimensional Euclidean …

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 …

The (φ4)2 field theory as a classical Ising model

B Simon, RB Griffiths - Communications in Mathematical Physics, 1973 - Springer
We approximate a (spatially cutoff)(φ 4) 2 Euclidean field theory by an ensemble of spin 1/2
Ising spins with ferromagnetic pair interactions. This approximation is used to prove a Lee …

[BOOK][B] An introduction to non-perturbative foundations of quantum field theory

F Strocchi - 2013 - books.google.com
Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of
elementary particle interactions and as such is regarded as a fundamental part of modern …

Snowmass white paper: The quest to define QFT

M Dedushenko - International Journal of Modern Physics A, 2023 - World Scientific
This paper provides a review of the literature on rigorous definitions and constructions in
quantum field theory (QFT), spanning the period of seven decades. Compared with the …

Dirichlet forms and diffusion processes on rigged Hilbert spaces

S Albeverio, R Høegh-Krohn - Zeitschrift für Wahrscheinlichkeitstheorie …, 1977 - Springer
This paper is concerned with the extension to a real separable Hilbert space K of the finite
dimensional theory of Dirichlet diffusion forms (energy forms) S VfVfd#, of the associated …

Classical and quantum statistical mechanics in one and two dimensions: Two-component Yukawa—and Coulomb systems

J Fröhlich - Communications in Mathematical Physics, 1976 - Springer
We estimate the canonical and grand canonical partition function in a finite volume and
prove stability and existence of the thermodynamic limit for the pressure of two component …