Perturbative renormalization group approach to the light-front Hamiltonian

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.7239· OSTI ID:284830

Sugihara, T ^[1]; Yahiro, M ^[2]

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1. Department of Physics, Kyushu University, Fukuoka 812-81 (Japan)
2. National University of Fisheries, Shimonoseki 759-65 (Japan)

A perturbative renormalization group (RG) scheme for the light-front Hamiltonian is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and applied to the simplest {phi}{sup 4} model with spontaneous breaking of {ital Z}{sub 2} symmetry. RG equations are derived at one-loop order for both symmetric and broken phases. The equations are consistent with those calculated in the covariant perturbation theory. For the symmetric phase, an initial cutoff Hamiltonian in the RG procedure is made by excluding the zero mode from the canonical Hamiltonian with an appropriate regularization. An initial cutoff Hamiltonian for the broken phase is constructed by shifting {phi} by {phi}{r_arrow}{phi}{minus}{ital v} in the initial Hamiltonian for the symmetric phase. The shifted value {ital v} is determined on a renormalization trajectory. The minimum of the effective potential occurs on the trajectory. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 284830
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
HAMILTONIANS
LIGHT CONE
PERTURBATION THEORY
PHASE STUDIES
RENORMALIZATION
TRAJECTORIES