Renormalization of the Yang-Mills theories in the light-cone gauge

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

doi:10.1103/physrevd.36.3138

Cited by 55 publications

(72 citation statements)

References 26 publications

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“…Though we are aware of the fact that due to the heavy quark field our operators are in no representation of the conformal group we use the same notation as in [18]. The ⊗ just indicates that the fields have open colour indices so that 21) where the generators of the SU (3) have to be taken in the appropriate representation:…”

Section: Heavy-light Light Ray Operatorsmentioning

confidence: 99%

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Renormalisation of heavy-light light ray operators

Knoedlseder

Offen

2011

J. High Energ. Phys.

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We calculate the renormalisation of different light ray operators with one light degree of freedom and a static heavy quark. Both 2 → 2-and 2 → 3-kernels are considered. A comparison with the light-light case suggests that the mixing with three-particle operators is solely governed by the light degrees of freedom. Additionally we show that conformal symmetry is already broken at the level of the one loop counterterms due to the additional UV-renormalisation of a cusp in the two contributing Wilson-lines. This general feature can be used to fix the 2 → 2-renormalisation kernels up to a constant. Some examples for applications of our results are given.

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Section: Heavy-light Light Ray Operatorsmentioning

confidence: 99%

“…A drawback of using the light cone gauge is the explicit breaking of Lorentz invariance so that plus and minus components of the fields renormalise differently [21] […”

Section: Renormalisation Group Equations and Light Cone Gaugementioning

confidence: 99%

Renormalisation of heavy-light light ray operators

Knoedlseder

Offen

2011

J. High Energ. Phys.

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“…What happens, as we shall here explicitely show up to the one loop order, is that in dimensionally regularized truncated Green's functions all those non-covariant terms cancel, leaving us with the very same renormalizable one loop structures, as found in the standard STC framework [8].…”

Section: Light-front Qed In the Light-cone Temporal Gaugementioning

confidence: 54%

“…as independent fields, a straightforward although very tedious calculation leads to the following result: namely, 8) where, once again, we have denoted the Dirac's brackets matrix as…”

Section: Light-front Qed In the Light-cone Temporal Gaugementioning

confidence: 99%

Consistent perturbative light front formulation of Yang-Mills theories

Morara¹,

Soldati²,

McCartor³

1999

AIP Conference Proceedings

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A new light-front formulation of Q.E.D. is developed, within the framework of standard perturbation theory, in which x + plays the role of the evolution parameter and the gauge choice is A + = 0 (light-front "temporal" gauge). It is shown that this formulation leads to the Mandelstam-Leibbrandt causal prescription for the non-covariant singularities in the photon propagator. Furthermore, it is proved that the dimensionally regularized one loop off-shell amplitudes exactly coincide with the correct ones, as computed within the standard approach using ordinary space-time coordinates.

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“…Bassetto, et al have given a derivation of the ML propagator in the framework of equal-time quantization [5], and have further shown that gauge theories defined in this way are renormalizable [6] (although nonlocal counterterms are necessary to render offshell Green functions finite). A central feature of their construction is that they do not reduce down to the physical (transverse) degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%