Strong-coupling expansion for the effective potential on a lattice

Journal Article · Mon Jun 15 04:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.2976· OSTI ID:6440195

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

This is the first of three papers on the strong-coupling expansion of the renormalized effective potential in gphi/sup 4/ quantum field theory in d-dimensional Euclidean space-time. In this paper we show how to express the effective potential in terms of one-particle-irreducible strong-coupling graphs. We describe two methods for obtaining analytic expressions for the vertices of these graphs. We also present an algebraic technique for evaluating the graphs on a Euclidean space-time lattice in arbitrary dimension d.

• Research Organization: Department of Physics, Washington University, St. Louis, Missouri 63l30
• OSTI ID: 6440195
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 23:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANHARMONIC OSCILLATORS
EIGENVALUES
ELECTRONIC EQUIPMENT
EQUIPMENT
EUCLIDEAN SPACE
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MATHEMATICAL SPACE
OSCILLATORS
PARTICLE MODELS
PHI4-FIELD THEORY
QUANTUM FIELD THEORY
RENORMALIZATION
RIEMANN SPACE
SPACE
SPACE-TIME
STRONG-COUPLING MODEL