Perturbative renormalization of null-plane QED

Journal Article · Wed May 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.3411· OSTI ID:5677495

Mustaki, D; Pinsky, S; Shigemitsu, J; Wilson, K ^[1]

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

It has been recognized for some time that quantization on a null plane has several unique and remarkable advantages for the elucidation of quantum field theories. To date these unique features have not been exploited to solve strongly coupled, four-dimensional gauge theories. This is the first in a series of papers aimed at systematically formulating renormalizable gauge theories on the null plane. In order to lay down the groundwork for upcoming nonperturbative studies, it is indispensable to gain control over the perturbative treatment first. A discussion of one-loop renormalization of QED in the Hamiltonian formalism is presented. In this approach, one is faced with severe infrared divergences characteristic of the light-cone gauge. We show how to treat these divergences in a coherent fashion, and thus recover the usual results of the renormalization procedure such as Ward identities and coupling-constant renormalizations.

• OSTI ID: 5677495
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COUPLING CONSTANTS
DIAGRAMS
ELECTRODYNAMICS
FEYNMAN DIAGRAM
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INFRARED DIVERGENCES
INVARIANCE PRINCIPLES
LIGHT CONE
LORENTZ INVARIANCE
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SHELL MODELS
SPACE-TIME
TAMM-DANCOFF METHOD
WARD IDENTITY
WAVE FUNCTIONS