Spontaneous breaking of scale invariance and the ultraviolet fixed point in O(N)-symmetric (Phi/sub 3//sup 6/) theory

Journal Article · Mon Apr 02 00:00:00 EST 1984 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.52.1188· OSTI ID:7186122

Bardeen, W A; Moshe, M; Bander, M

At large N, the etaphi/sup 6/ theory is shown to possess a nontrivial ultraviolet fixed point. A new phase is found where asymptotic scale invariance is spontaneously broken and a dynamical mass is generated through dimensional transmutation. At the tricritical limit, the spontaneous breaking of an exact scale invariance at leading N results in the formation of a massless composite Goldstone mode, the dilaton. We compare these results to standard 1/N expansion and emphasize the nonperturbative nature of these phenomena.

• Research Organization: Fermi National Accelerator Laboratory, Batavia, Illinois 60510
• OSTI ID: 7186122
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 52:14
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
O GROUPS
SYMMETRY BREAKING
SCALE INVARIANCE
CORRELATION FUNCTIONS
RENORMALIZATION
SCALAR FIELDS
ULTRAVIOLET DIVERGENCES
VARIATIONAL METHODS
DYNAMICAL GROUPS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
SYMMETRY GROUPS
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