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Title: Convergent expansion about mean field theory I. The expansion

Abstract

A convergent expansion in the multiphase region is given for nearly Gaussian quantum field theory. The expansion combines (1) an expansion in phase boundaries, (2) a cluster expansion, and (3) a perturbation expansion to isolate dominant behavior. The ground state of the P (phi)/sub 2/= (lambdaphi/sup 4/-phi/sup 2/-..mu..phi)/sub 2/ model is studied, with mod ..mu.. < or =lambda/sup 2/very-much-less-than1. The ground state is close to the classical free field, obtained by replacing P (phi) by the quadratic mean field polynomial P/sub c/(phi), tangent to P at a global minimum. Selecting one minimum gives a pure phase (ergodic ground state) satisfying the Wightman-Osterwalder-Schrader axioms with a positive mass. Analyticity is established in lambda for ..mu..=0 in the sector Imlambda

Authors:
; ;
Publication Date:
Research Org.:
Rockefeller University, New York, New York 10021
OSTI Identifier:
7134730
Resource Type:
Journal Article
Journal Name:
Ann. Phys. (N.Y.); (United States)
Additional Journal Information:
Journal Volume: 101:2
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; SERIES EXPANSION; ISING MODEL; PERTURBATION THEORY; PHASE TRANSFORMATIONS; SOLITONS; VACUUM STATES; CRYSTAL MODELS; FIELD THEORIES; MATHEMATICAL MODELS; QUASI PARTICLES; 645400* - High Energy Physics- Field Theory

Citation Formats

Glimm, J, Jaffe, A, and Spencer, T. Convergent expansion about mean field theory I. The expansion. United States: N. p., 1976. Web. doi:10.1016/0003-4916(76)90026-9.
Glimm, J, Jaffe, A, & Spencer, T. Convergent expansion about mean field theory I. The expansion. United States. https://doi.org/10.1016/0003-4916(76)90026-9
Glimm, J, Jaffe, A, and Spencer, T. Fri . "Convergent expansion about mean field theory I. The expansion". United States. https://doi.org/10.1016/0003-4916(76)90026-9.
@article{osti_7134730,
title = {Convergent expansion about mean field theory I. The expansion},
author = {Glimm, J and Jaffe, A and Spencer, T},
abstractNote = {A convergent expansion in the multiphase region is given for nearly Gaussian quantum field theory. The expansion combines (1) an expansion in phase boundaries, (2) a cluster expansion, and (3) a perturbation expansion to isolate dominant behavior. The ground state of the P (phi)/sub 2/= (lambdaphi/sup 4/-phi/sup 2/-..mu..phi)/sub 2/ model is studied, with mod ..mu.. < or =lambda/sup 2/very-much-less-than1. The ground state is close to the classical free field, obtained by replacing P (phi) by the quadratic mean field polynomial P/sub c/(phi), tangent to P at a global minimum. Selecting one minimum gives a pure phase (ergodic ground state) satisfying the Wightman-Osterwalder-Schrader axioms with a positive mass. Analyticity is established in lambda for ..mu..=0 in the sector Imlambda},
doi = {10.1016/0003-4916(76)90026-9},
url = {https://www.osti.gov/biblio/7134730}, journal = {Ann. Phys. (N.Y.); (United States)},
number = ,
volume = 101:2,
place = {United States},
year = {1976},
month = {10}
}