Effective potential for a renormalized d-dimensional gphi/sup 4/ field theory in the limit g. -->. infinity

Journal Article · Mon Aug 18 04:00:00 EDT 1980 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.45.501· OSTI ID:5054483

Bender, C M; Cooper, F; Guralnik, G S; Moreno, H; Roskies, R; Sharp, D H

The first four coefficients in the effective potential V/sub eff/(phi/sub R/)=..sigma../sup infinity//sub n/=1V/sub 2n/phi/sub R/ /sup 2n/ are calculated for a mass- and wave-function-renormalized gphi/sup 4/ field theory in d space-time dimensions in the limit where the unrenormalized coupling g..-->..infinity with the renormalized mass M held fixed. The accuracy of these numerical results is verified by exact analytical calculations of the effective potential performed in 0 and 1 space-time dimensions.

• Research Organization: Department of Physics, Washington University, St. Louis, Missouri 63130
• OSTI ID: 5054483
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 45:7; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
EUCLIDEAN SPACE
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
LAGRANGIAN FUNCTION
MASS RENORMALIZATION
MATHEMATICAL SPACE
PERTURBATION THEORY
PHI4-FIELD THEORY
POTENTIALS
QUANTUM FIELD THEORY
RENORMALIZATION
RIEMANN SPACE
SPACE
SPACE-TIME
WAVE FUNCTIONS