Bphzl Renormalization of 1/$N$ Expansion and Critical Behavior of the Three-dimensional Chiral Field

Arefeva, I.Ya.; Nissimov, E.R.; Pacheva, S.J.

doi:10.1007/BF01197293

Bphzl Renormalization of 1/ $N$ Expansion and Critical Behavior of the Three-dimensional Chiral Field

Sep, 1978

46 pages

Published in:

Commun.Math.Phys. 71 (1980) 213

DOI:

10.1007/BF01197293

Report number:

LOMI-E-6-1978

reference search43 citations

Citations per year

Abstract: (Springer)

A modified soft mass renormalization scheme for 1/N expansion of the three dimensionalO(N)-invariant chiral field in the high- and low-temperature phases, as well as at the critical point, is constructed, free of infrared divergencies in each separate diagram. Generalized quantum chirality identities for composite operators are derived, from which the renormalizability of the model follows. The approach formulated here is applied to a rigorous analysis of the universal critical behaviour of theN-component chiral field in three dimensions.

FIELD THEORY: NONABELIAN
FIELD THEORY: THREE-DIMENSIONAL
FIELD THEORY: CRITICAL BEHAVIOR
RENORMALIZATION: REGULARIZATION
EXPANSION 1/N
INVARIANCE: CHIRAL
SYMMETRY: O(N)
FIELD THEORY: INFRARED PROBLEM
FEYNMAN GRAPH: HIGHER-ORDER

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Bphzl Renormalization of 1/NNN Expansion and Critical Behavior of the Three-dimensional Chiral Field

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Bphzl Renormalization of 1/ $N$ Expansion and Critical Behavior of the Three-dimensional Chiral Field