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Article

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Published version

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1985

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12434

Scalar field theory in 3+1 dimensions

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http://dx.doi.org/10.1103/PhysRevD.31.3178

Abstract

We study the existence of a stable ground state for the most general renormalizable single scalar field theory in four dimensions within a variational approach. In its regularized version we find a theory with an energy density which is not bound from below but with a metastable local minimum such that when the cutoff is removed the theory is interacting, finite, and possesses a stable ground state. In fact, we find that this theory is not stable unless it is symmetric. This generalizes Stevenson’s recent results on even φ 4 theory.

Subject

Teoria quàntica, Teoria de camps (Física), Partícules (Física nuclear), Relativitat especial (Física)

Subject (English)

Quantum theory, Field theory (Physics), Particles (Nuclear physics), Special relativity (Physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

KONIUK, R. and TARRACH, R. Scalar field theory in 3+1 dimensions. Physical Review D. 1985. Vol. 31, num. 12, pags. 3178-3182. ISSN 0556-2821. [consulted: 18 of August of 2026]. Available at: https://hdl.handle.net/2445/12434

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