Systematic renormalization scheme in light-front dynamics with Fock space truncation

Journal Article · Tue Apr 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.085028· OSTI ID:21250063

Karmanov, V A; Smirnov, A V ^[1]; Mathiot, J -F ^[2]

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1. Lebedev Physical Institute, Leninsky Prospekt 53, 119991 Moscow (Russian Federation)
2. Laboratoire de Physique Corpusculaire, Universite Blaise-Pascal, CNRS/IN2P3, 24 avenue des Landais, F-63177 Aubiere Cedex (France)

Within the framework of the covariant formulation of light-front dynamics, we develop a general nonperturbative renormalization scheme based on the Fock decomposition of the state vector and its truncation. The counterterms and bare parameters needed to renormalize the theory depend on the Fock sectors. We present a general strategy in order to calculate these quantities, as well as state vectors of physical systems, in a truncated Fock space. The explicit dependence of our formalism on the orientation of the light-front plane is essential in order to analyze the structure of the counterterms. We apply our formalism to the two-body (one fermion and one boson) truncation in the Yukawa model and in QED, and to the three-body truncation in a scalar model. In QED, we recover analytically, without any perturbative expansion, the renormalization of the electric charge, according to the requirements of the Ward identity.

• OSTI ID: 21250063
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DECOMPOSITION
ELECTRIC CHARGES
EXPANSION
FERMIONS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE
THREE-BODY PROBLEM
TWO-BODY PROBLEM
WARD IDENTITY
YUKAWA POTENTIAL