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1987

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12423

O(N)-symmetric (lambda)(phi)4 theory: the gaussin effective potential approach

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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.

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http://dx.doi.org/10.1103/PhysRevD.35.2407

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Teoria de camps (Física), Partícules (Física nuclear), Simetria (Física)

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Field theory (Physics), Particles (Nuclear physics), Symmetry (Physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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STEVENSON, P. M., ALLÉS, B. and TARRACH, R. O(N)-symmetric (lambda)(phi)4 theory: the gaussin effective potential approach. Physical Review D. 1987. Vol. 35, num. 8, pags. 2407-2414. ISSN 0556-2821. [consulted: 12 of October of 2026]. Available at: https://hdl.handle.net/2445/12423

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