Difficulties with the renormalization of the Yang-Mills theory in the light-cone gauge

Bassetto, A.; Dalbosco, M.; Soldati, Roberto

doi:10.1016/0370-2693(85)90257-6

Cited by 16 publications

(2 citation statements)

References 8 publications

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“…The main result of this paper is to generalize a set of identities (BI), sketched for the pure YMT in ref. [12] and introduced for QCD in ref. [13], to the supersymmetric case N =4.…”

Section: Introductionmentioning

confidence: 99%

Super-Yang-MillsN=4theory in light-cone gauge and the “bridge” identities

Bassetto

Pol

2008

Phys. Rev. D

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The light-cone gauge allows to single out a set of "transverse" fields (TF), whose Green functions are free from UV divergences in SYM N =4. Green functions with external lines involving the remaining fields do instead exhibit divergences: indeed those fields can be expressed, by solving their equations of motion, as composite operators in terms of "transverse" fields. A set of exact identities (bridge identities) automatically realize their insertions in a path-integral formulation.DFPD/TH 07-07

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“…The main result of this paper is to generalize a set of identities (BI), sketched for the pure YMT in ref. [12] and introduced for QCD in ref. [13], to the supersymmetric case N =4.…”

Section: Introductionmentioning

confidence: 99%

Super-Yang-MillsN=4theory in light-cone gauge and the “bridge” identities

Bassetto

Pol

2008

Phys. Rev. D

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“…In view of the technical idiosyncrasies of the light-cone gauge Feynman integrals [7] generally, and the appearance of UV divergent nonlocal expressions in both the gluon self-energy and the vertex functions, the question was highly non-trivial. During the ensuing years, the renormalization structure of Yang-Mills theory in the light-cone gauge was examined by several researchers, including Bassetto [8,9], Bassetto and his co-workers [10][11][12][13], Lee and Milgram [14,15], Andraši, Leibbrandt and Nyeo [16], Leibbrandt and Nyeo [17,18], and Nyeo [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

The pole part of the 1PI four-point function in light-cone gauge Yang-Mills theory

1998

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The complete UV-divergent contribution to the one-loop 1PI four-point function of Yang-Mills theory in the light-cone gauge is computed in this paper. The formidable UV-divergent contributions arising from each fourpoint Feynman diagram yield a succinct final result which contains nonlocal terms as expected. These nonlocal contributions are consistent with gauge symmetry, and correspond to a nonlocal renormalization of the wave function. Renormalization of Yang-Mills theory in the light-cone gauge is thus shown explicitly at the one-loop level.

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Propagator of Yang-Mills field in light cone gauge

Antonov¹

1988

Theor Math Phys

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Difficulties with the renormalization of the Yang-Mills theory in the light-cone gauge

Cited by 16 publications

References 8 publications

Super-Yang-MillsN=4theory in light-cone gauge and the “bridge” identities

Super-Yang-MillsN=4theory in light-cone gauge and the “bridge” identities

The pole part of the 1PI four-point function in light-cone gauge Yang-Mills theory

Propagator of Yang-Mills field in light cone gauge

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