One-loop calculation of the three-gluon vertex in the light-cone gauge

Dalbosco, M.

doi:10.1016/0370-2693(85)90216-3

Cited by 26 publications

(5 citation statements)

References 11 publications

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“…To get renormalized results, the counterterm (3.38) was added to all A functions. In the MS scheme, the obtained results coincide 18 with those presented in ref. [14], eq.…”

Section: On-shell Limitssupporting

confidence: 89%

See 1 more Smart Citation

Erratum: Three-gluon vertex in arbitrary gauge and dimension [Phys. Rev. D54, 4087 (1996)]

Davydychev¹,

Osland²

1999

Phys. Rev. D

140

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One-loop off-shell contributions to the three-gluon vertex are calculated, in arbitrary covariant gauge and in arbitrary space-time dimension, including quark-loop contributions (with massless quarks). It is shown how one can get the results for all on-shell limits of interest directly from the general off-shell expression. The corresponding general expressions for the one-loop ghost-gluon vertex are also obtained. They allow for a check of consistency with the Ward-Slavnov-Taylor identity.

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“…To get renormalized results, the counterterm (3.38) was added to all A functions. In the MS scheme, the obtained results coincide 18 with those presented in ref. [14], eq.…”

Section: On-shell Limitssupporting

confidence: 89%

“…We note that in several papers the one-loop three-gluon vertex in axial-type gauges (including the light-cone gauge) was considered [18] (mainly divergent parts and special limits have been studied). The three-gluon vertex in the background field formalism was considered in ref.…”

Section: Introductionmentioning

confidence: 99%

Erratum: Three-gluon vertex in arbitrary gauge and dimension [Phys. Rev. D54, 4087 (1996)]

Davydychev¹,

Osland²

1999

Phys. Rev. D

140

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“…A (1,ξ) (0, p 2 ; p 2 ) − B (1,ξ) (0, p 2 ; p 2 ) = A (1,ξ) (p 2 , p 2 ; 0) = g 2 η (4π) n/2 C A κ 8(n−1) 2(n 2 − 7n + 4) − 2ξ(n − 1)(4n − 13) + ξ 2 (n − 1)(n − 4) , (4.30) 18 Up to a misprint in eq. (25g) of [14] where, in the term proportional to λ (their λ is nothing but our ξ), the contribution l(1 + 11 4 + 2f 2 ) should read l(1 + 11 4 f + 2f 2 ).…”

Section: One External Momentum Is Zero P 3 =mentioning

confidence: 99%

Three-gluon vertex in arbitrary gauge and dimension

Davydychev

Osland

1996

Phys. Rev. D

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“…For the renormalization of the virtual-cut contributions in the triangle graph (d) and the 'swordfish' ones (s1),(s2), we need the UV counter-term for the three-gluon vertex in the light-cone gauge with ML prescription. Here we can rely on the result presented in [26] (see also [27,2]); the part of it that is relevant for our calculation is recalled in Fig. 5.…”

Section: Contributions At X = 1 and A Sample Two-loop Calculation Of Z Qmentioning

confidence: 99%

Light-cone gauge and the calculation of the two-loop splitting functions

et al. 1998

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We present calculations of next-to-leading order QCD splitting functions, employing the light-cone gauge method of Curci, Furmanski, and Petronzio ͑CFP͒. In contrast with the ''principal-value'' prescription used in the original CFP paper for dealing with the poles of the light-cone gauge gluon propagator, we adopt the Mandelstam-Leibbrandt prescription which is known to have a solid field-theoretical foundation. We find that indeed the calculation using this prescription is conceptually clear and avoids the somewhat dubious manipulations of the spurious poles required when the principal-value method is applied. We reproduce the wellknown results for the flavor nonsinglet splitting function and the N C 2 part of the gluon-to-gluon singlet splitting function, which are the most complicated ones, and which provide an exhaustive test of the ML prescription. We also discuss in some detail the xϭ1 end point contributions to the splitting functions.

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One-loop calculation of the three-gluon vertex in the light-cone gauge

Cited by 26 publications

References 11 publications

Erratum: Three-gluon vertex in arbitrary gauge and dimension [Phys. Rev. D54, 4087 (1996)]

Erratum: Three-gluon vertex in arbitrary gauge and dimension [Phys. Rev. D54, 4087 (1996)]

Three-gluon vertex in arbitrary gauge and dimension

Light-cone gauge and the calculation of the two-loop splitting functions

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