Yang-Mills theories in the light-cone gauge

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

doi:10.1103/physrevd.31.2012

Cited by 111 publications

(121 citation statements)

References 10 publications

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“…In this section we show how a careful light-cone quantization of the Lagrangian (1.3) leads to the same results obtained in equal-time quantization [5]. We shall begin by considering the free theory (g = 0) and, to avoid spurious complexities, only a single gauge field.…”

Section: Light-cone Quantization Of the Lagrangian (13)mentioning

confidence: 99%

“…(2.32), (2.33), and (2.35)) is identical to that obtained in ref. [5], so we may be confident that the propagator will have the ML form.…”

Section: Writing These Out For the Different Values Of ν In Terms Ofmentioning

confidence: 99%

“…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%

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Light-cone quantization of gauge fields

McCartor

Robertson

1994

Z. Phys. C - Particles and Fields

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Section: Light-cone Quantization Of the Lagrangian (13)mentioning

confidence: 99%

“…(2.32), (2.33), and (2.35)) is identical to that obtained in ref. [5], so we may be confident that the propagator will have the ML form.…”

Section: Writing These Out For the Different Values Of ν In Terms Ofmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Light-cone quantization of gauge fields

McCartor

Robertson

1994

Z. Phys. C - Particles and Fields

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“…The QCD β function has also been computed at one loop [15]. Dimensional regularization and the Mandelstam-Leibbrandt prescription [16,17,18] for LC gauge can be used to define the Feynman loop integrations [19]. The M-L prescription has the advantage of preserving causality and analyticity, as well as leading to proofs of the renormalizability and unitarity of Yang-Mills theories [20].…”

Section: Introductionmentioning

confidence: 99%

Light-Front Quantization and QCD Phenomena

Brodsky

2003

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The light-front quantization of QCD provides an alternative to lattice gauge theory for computing the mass spectrum, scattering amplitudes, and other physical properties of hadrons directly in Minkowski space. Nonperturbative light-front methods for solving gauge theory and obtaining light-front wavefunctions, such as discretized light-front quantization, the transverse lattice, and light-front resolvents are reviewed. The resulting light-front wavefunctions give a frame-independent interpolation between hadrons and their quark and gluon degrees of freedom, including an exact representation of spacelike form factors, transition form factors such as B → ℓνπ, and generalized parton distributions. In the case of hard inclusive reactions, the effects of final-state interactions must be included in order to interpret leading-twist diffractive contributions, nuclear shadowing, and single-spin asymmetries. I also discuss how the AdS/CFT correspondence between string theory and conformal gauge theory can be used to constrain the form and power-law fall-off of the light-front wavefunctions. In the case of electroweak theory, light-front quantization leads to a unitary and renormalizable theory of massive gauge particles, automatically incorporating the Lorentz and 't Hooft conditions as well as the Goldstone boson equivalence theorem. Spontaneous symmetry breaking is represented by the appearance of zero modes of the Higgs field, leaving the light-front vacuum equal to the perturbative vacuum.

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“…1 One may find some discussion about residual gauge freedom in A + a = 0 in equal-time quantization [5]. In this case, the residual gauge fixing could, in principle, be determined by Gauss's law, as in the case of temporal gauge.…”

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confidence: 99%

Residual gauge fixing in light-front QCD

Zhang

Harindranath

1993

Physics Letters B

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Understanding the nontrivial features of light-front QCD is a central goal in current investigations of nonperturbative light-front field theory. We find that, with the choice of light-front gauge with antisymmetric boundary conditions for the field variables, the residual gauge freedom is fixed and the light-front QCD vacuum is trivial. The nontrivial structure in light-front QCD is determined by non-vanishing asymptotic physical (transverse) gauge fields at longitudinal infinity, which are responsible for nonzero topological winding number.

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Yang-Mills theories in the light-cone gauge

Cited by 111 publications

References 10 publications

Light-cone quantization of gauge fields

Light-cone quantization of gauge fields

Light-Front Quantization and QCD Phenomena

Residual gauge fixing in light-front QCD

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