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Title: Phase transition in the three-dimensional chiral field

Abstract

The essentially nonlinear chiral field in three dimensional space time non-renormalizable in the usual perturbation expansion is studied. We consider systematic 1/N expansion for this model. In the framework of the latter a phase transition takes place: above the critical point the theory is in the O(N) symmetric phase, below it the O(N) symmetry breaks. The 1/N renormalizability of the conventional perturbation theory and the non-analytic dependence on the coupling constant is established.

Authors:
Publication Date:
Research Org.:
Leningrad Department of Steklov Mathematical Institute of Academy of Sciences of USSR, Leningrad, USSR
OSTI Identifier:
6126492
Resource Type:
Journal Article
Journal Name:
Ann. Phys. (N.Y.); (United States)
Additional Journal Information:
Journal Volume: 117:2
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; SYMMETRY BREAKING; QUANTUM FIELD THEORY; PHASE TRANSFORMATIONS; COUPLING CONSTANTS; NONLINEAR PROBLEMS; O GROUPS; PERTURBATION THEORY; RENORMALIZATION; SERIES EXPANSION; THREE-DIMENSIONAL CALCULATIONS; DYNAMICAL GROUPS; FIELD THEORIES; LIE GROUPS; SYMMETRY; SYMMETRY GROUPS; 645400* - High Energy Physics- Field Theory

Citation Formats

Aref'eva, I.Y. Phase transition in the three-dimensional chiral field. United States: N. p., 1979. Web. doi:10.1016/0003-4916(79)90361-0.
Aref'eva, I.Y. Phase transition in the three-dimensional chiral field. United States. doi:10.1016/0003-4916(79)90361-0.
Aref'eva, I.Y. Thu . "Phase transition in the three-dimensional chiral field". United States. doi:10.1016/0003-4916(79)90361-0.
@article{osti_6126492,
title = {Phase transition in the three-dimensional chiral field},
author = {Aref'eva, I.Y.},
abstractNote = {The essentially nonlinear chiral field in three dimensional space time non-renormalizable in the usual perturbation expansion is studied. We consider systematic 1/N expansion for this model. In the framework of the latter a phase transition takes place: above the critical point the theory is in the O(N) symmetric phase, below it the O(N) symmetry breaks. The 1/N renormalizability of the conventional perturbation theory and the non-analytic dependence on the coupling constant is established.},
doi = {10.1016/0003-4916(79)90361-0},
journal = {Ann. Phys. (N.Y.); (United States)},
number = ,
volume = 117:2,
place = {United States},
year = {1979},
month = {2}
}