Wilson renormalization group approach to light-front Tamm-Dancoff scalar field theory

Journal Article · Fri Jul 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.980· OSTI ID:7033324

Ammons, E A ^[1]

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1. Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210 (United States)

A program to utilize the Tamm-Dancoff approximation, on the light front, to solve relativistic quantum field theories, is presented. We present a well-defined renormalization program for the Tamm-Dancoff approximation. This renormalization program utilizes a Minkowski space version of Wilson's renormalization group. We study light-front [phi][sup 4] field theory in (3+1) dimensions, within a two-particle truncation of Fock space. We further simplify our calculations by considering only one marginal operator and one irrelevant operator. The renormalization procedure requires no more marginal or relevant operators. We derive an effective, renormalized, Hamiltonian. These techniques may be germane to the effort to find an effective, low-energy, light-front Hamiltonian for quantum chromodynamics.

• OSTI ID: 7033324
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:2; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
FIELD THEORIES
FOCK REPRESENTATION
FOUR-DIMENSIONAL CALCULATIONS
HAMILTONIANS
LIGHT CONE
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PHI4-FIELD THEORY
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SPACE
SPACE-TIME
TAMM-DANCOFF METHOD