Radiatively induced spontaneous symmetry breaking for asymptotically free gauge theories

Journal Article · Sun Feb 15 00:00:00 UTC 1976 · Phys. Rev., D, v. 13, no. 4, pp. 1025-1042

DOI:https://doi.org/10.1103/PhysRevD.13.1025· OSTI ID:4016966

Gildener, E

The possibility is investigated that the symmetry of asymptotically free theories whose effective scalar quartic coupling constants (in the sense of the renormalization group) take on negative values is dynamically spontaneously broken. This phenomenon is found to be common for theories whose scalars transform as the irreducible second-rank tensor representations of SU(n) and O(n). The symmetry-breaking pattern is determined by the tree approximation in some cases, by the one-loop approximation in other cases, but for none of these models does it allow for an asymptotically free theory whose S-matrix elements are defined. Our dynamical mechanism does provide a natural explanation of superstrong spontaneous symmetry breaking. (AIP)

• Research Organization: Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138
• Sponsoring Organization: USDOE
• DOE Contract Number: NONE
• NSA Number: NSA-33-031394
• OSTI ID: 4016966
• Journal Information: Phys. Rev., D, v. 13, no. 4, pp. 1025-1042, Journal Name: Phys. Rev., D, v. 13, no. 4, pp. 1025-1042; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*UNIFIED GAUGE MODELS-- SYMMETRY BREAKING
641101*
ASYMPTOTIC SOLUTIONS
GAUGE INVARIANCE
N64210* --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--General
O GROUPS
S MATRIX
SU GROUPS