Renormalization in light-cone gauge: how to do it in a consistent way*

BASSETTO, A

doi:10.1016/s0920-5632(96)00472-0

Cited by 5 publications

(8 citation statements)

References 12 publications

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“…= means equality in the sense of the theory of distributions. It was shown that the free gluon propagator supplied with the ML pole prescription can be directly derived following the equal-time quantization procedure and is compatible with well-established results at least up to the O(α s )-order [11,15,19]. The main difference between the q − -independent prescriptions and the ML one (13) originates in the different situation of poles in the q 0 plane, as it is shown and explained in Fig.…”

Section: Structure Of Paths In Transverse-momentum-dependent Parton Dsupporting

confidence: 70%

On path-dependence of the QCD correlation functions

Cherednikov

2014

Phys. Part. Nuclei

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Section: Structure Of Paths In Transverse-momentum-dependent Parton Dsupporting

confidence: 70%

On path-dependence of the QCD correlation functions

Cherednikov

2014

Phys. Part. Nuclei

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“…Note also that the loop-momentum does not bear a large transverse component -see, [9] for details.] Thus, in the hadron frame, QCD effectively splits into two "one-dimensional" theories (see, for instance, [20] and references cited therein). The term "one-dimensional" reflects the fact that the fields Q ± move only along the light-rays p ± This situation may look deceptively simple but in reality it is more complicated because of gluon exchanges between the quark fields.…”

Section: Drell-yan Process and Scetmentioning

confidence: 99%

Key Features of the TMD Soft-Factor Structure

Vladimirov

Stefanis

2014

Few-Body Syst

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We show that the geometry of the Wilson lines, entering the operator definition of the transverse-momentum dependent parton distributions and that of the soft factor, follows from the kinematics of the underlying physical process in conjunction with the gauge invariance of the QCD Lagrangian. We demonstrate our method in terms of concrete examples and determine the paths of the associated Wilson lines. The validation of the factorization theorem in our approach is postponed to future work. I. INTRODUCTIONParton distribution functions, integrated and those that retain the partonic transverse degrees of freedom unintegrated, have to include Wilson lines (gauge links) in order to render their definitions gauge invariant (see, [1] for a recent review). There are several ways to obtain the Wilson-line structure of the parton distribution operator in deeply inelastic scattering (DIS). The most known procedure is the direct resummation of the collinear gluon radiation diagrams, see, e.g., [2,3]. This method can be applied to transverse momentum dependent (TMD) processes as well, and it allows to determine the appropriate configuration of Wilson lines in the parton distribution functions (PDFs) that parameterize them [2,3]. On the other hand, the geometry of the soft factor does not directly follow from the resummation procedure, but is rather related to the removal of rapidity singularities [4][5][6][7]. A counterexample is the approach used in [8], based on the soft collinear effective theory (SCET), in which one can establish a TMD factorization theorem and explicitly derive the soft factor with the appropriate Wilson lines. The drawback of the SCET approach is that one cannot really pass back to the original QCD fields, and, hence, a direct comparison of the operator expressions is questionable.

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“…The rules in the four-component formulation are instead the standard ones in light-cone gauge. Renormalization can here be proved following general theorems and then translated in the two-component formulation [13].…”

Section: The Bridge Identitiesmentioning

confidence: 99%

“…( 14), with differentiations with respect to transverse sources, giving rise to bridge identities (BI) between two-and four-component formulations. Those identities, proposed for QCD in [13], can be straightforwardly generalized to the SYM N =4 case at hand. They allow to express Green functions with some non-transverse external lines in terms of purely transverse Green functions.…”

Section: The Bridge Identitiesmentioning

confidence: 99%

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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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Renormalization in light-cone gauge: how to do it in a consistent way*

Cited by 5 publications

References 12 publications

On path-dependence of the QCD correlation functions

On path-dependence of the QCD correlation functions

Key Features of the TMD Soft-Factor Structure

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

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