Fermions and the Gaussian effective potential
Journal Article
·
· Phys. Rev. D; (United States)
The effect of fermions on the Gaussian effective potential is studied in a variety of fermion-scalar models in 2, 3, and 4 dimensions. Both gphipsi-barpsi and gphi/sup 2/psi-barpsi couplings are considered. Stability requires the bare g to be infinitesimal; g/sub B/ /sup 2/ = G/sup 2//I/sub 0/ with I/sub 0/ a divergent integral. This contrasts with large-N studies in which g/sub B/ remains finite. The presence of fermions encourages spontaneous symmetry breaking, and in 3+1 dimensions the fermions destabilize the already ''precarious'' phi/sup 4/ theory.
- Research Organization:
- T. W. Bonner Laboratories, Physics Department, Rice University, Houston, Texas 77251
- OSTI ID:
- 6982615
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:10; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COUPLING CONSTANTS
FERMIONS
FIELD THEORIES
FUNCTIONS
HAMILTONIANS
HELICITY
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR POTENTIAL
PARTICLE PROPERTIES
PHI4-FIELD THEORY
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SCALAR FIELDS
SPACE-TIME
SPINORS
SYMMETRY BREAKING
VACUUM STATES
WAVE FUNCTIONS
YUKAWA POTENTIAL
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COUPLING CONSTANTS
FERMIONS
FIELD THEORIES
FUNCTIONS
HAMILTONIANS
HELICITY
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
NUCLEAR POTENTIAL
PARTICLE PROPERTIES
PHI4-FIELD THEORY
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SCALAR FIELDS
SPACE-TIME
SPINORS
SYMMETRY BREAKING
VACUUM STATES
WAVE FUNCTIONS
YUKAWA POTENTIAL