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Author Bassetto, A. ♦ Griguolo, L. ♦ Nardelli, G.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ QUANTIZATION ♦ LIGHT CONE ♦ YANG-MILLS THEORY ♦ WILSON LOOP ♦ SPACE-TIME ♦ HAMILTONIANS ♦ GREEN FUNCTION ♦ PROPAGATOR ♦ SU GROUPS ♦ QUANTUM ELECTRODYNAMICS ♦ SINGULARITY ♦ MASSLESS PARTICLES ♦ RENORMALIZATION ♦ GAUGE INVARIANCE
Abstract Yang-Mills theories on the {ital S}{sub 1}{times}{ital R} cylinder are quantized at equal time in the light-cone gauge {ital A}{sub {minus}}=0. Zero modes, related to the winding around the cylinder, provide topological variables with a nontrivial Hamiltonian. Positive and negative frequency components do contribute to Green functions, in particular, to the free propagator, in a causal way, leading to expressions different from the ones in the literature. They are tested in the calculation of a Wilson loop with lightlike sides: in the Abelian case it can be exactly computed, obtaining the expected exponentiation of the area; in the SU({ital N}) case the area exponentiation in terms of the Casimir constant of the fundamental representation is obtained only if a {open_quote}{open_quote}contact{close_quote}{close_quote} form of the propagator is used. If instead the causal propagator is adopted, only an {ital O}({ital g}{sup 4}) calculation has been obtained entailing also the presence of the Casimir constant of the adjoint representation. {copyright} {ital 1996 The American Physical Society.}
ISSN 05562821
Educational Use Research
Learning Resource Type Article
Publisher Date 1996-08-01
Publisher Place United States
Journal Physical Review, D
Volume Number 54
Issue Number 4


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