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Title: O(N)-symmetric (lambda)(phi)4 theory: the gaussin effective potential approach
Author: Stevenson, P. M.
Allés, B.
Tarrach, R., 1948-
Keywords: Teoria de camps (Física)
Partícules (Física nuclear)
Simetria (Física)
Field theory (Physics)
Particles (Nuclear physics)
Symmetry (Physics)
Issue Date: 1987
Publisher: The American Physical Society
Abstract: The O(N)-symmetric generalization of λ φ 4 theory is studied in the Gaussian-effective-potential (GEP) approach. It is shown that the GEP encompasses and transcends the leading-order 1/N expansion results. We find two distinct, nontrivial versions of the (3+1)-dimensional theory: (i) ‘‘precarious φ 4 theory,’’ with negative, infinitesimal λ B , which coincides with the 1/N result; and (ii) ‘‘autonomous φ 4 theory,’’ with positive, infinitesimal λ B and an infinite wave-function renormalization, which is inaccessible to perturbative or 1/N methods, and could well have eluded lattice-based approaches. ‘‘Autonomous φ 4 theory’’ can exhibit spontaneous symmetry breaking, and we speculate on its relevance for the Higgs mechanism.
Note: Reproducció digital del document publicat en format paper, proporcionada per PROLA i
It is part of: Physical Review D, 1987, vol. 35, núm. 8, p. 2407-2414
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ISSN: 0556-2821
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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