Constructing the light-front QCD Hamiltonian

Paston, S. A.; Prokhvatilov, E. V.; Franke, V. A.

doi:10.1007/bf02557241

Cited by 46 publications

(81 citation statements)

References 25 publications

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“…We consider this problem for (2+1)-dimensional Yang-Mills theory quantized on the LF where the above mentioned regularization |p − | ε > 0 is applied. Unlike the early considered case of (3+1)-dimensional QCD [12], for (2+1)-dimensional model we can construct renormalized LF Hamiltonian containing no new unknown renormalization parameters.…”

Section: Introductionmentioning

confidence: 99%

“…It was found that one can overcome this difficulty by addition of new (in particular, nonlocal) terms to the canonical LF Hamiltonian [12,15,16]. In the case of gauge field theory the infinite number of such terms appears [4,12].…”

Section: Introductionmentioning

confidence: 99%

“…It was also shown how to renormalize this theory ensuring the perturbative equivalence with the dimensionally regularized theory in Lorentz coordinates and the restoration of gauge invariance. For example, in (3+1)-dimensional Quantum Chromodynamics [12] this can require the inclusion of ten counterterms, necessary for UV renormalization, into LF Hamiltonian. It was shown that there must be the values of coefficients before these counterterms at which the restoration of gauge invariance occurs.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Pauli–Villars regularization and the light-front Hamiltonian in (2+1)-dimensional Yang–Mills theory

Malyshev

Paston²,

Prokhvatilov³

et al. 2015

Theor Math Phys

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The renormalization problem of (2+1)-dimensional Yang-Mills theory quantized on the light front is considered. Extra fields analogous to those used in Pauli-Villars regularization are introduced to restore perturbative equivalence between such quantized theory and conventional formulation in Lorentz coordinates. These fields also provide necessary ultraviolet regularization to the theory. Obtained results allow to construct renormalized Hamiltonian of the theory on the light front.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pauli–Villars regularization and the light-front Hamiltonian in (2+1)-dimensional Yang–Mills theory

Malyshev

Paston²,

Prokhvatilov³

et al. 2015

Theor Math Phys

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“…A general nonperturbative renormalization procedure for QCD has recently been outlined by Paston et al [14]. An alternative is to the use of broken supersymmetry as an ultraviolet regulator [15].…”

Section: Introductionmentioning

confidence: 99%

Light-cone representation of the spin and orbital angular momentum of relativistic composite systems

Hwang

2002

Nuclear Physics B - Proceedings Supplements

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The matrix elements of local operators such as the electromagnetic current, the energy momentum tensor, angular momentum, and the moments of structure functions have exact representations in terms of light-cone Fock state wavefunctions of bound states such as hadrons. We illustrate all of these properties by giving explicit light-cone wavefunctions for the two-particle Fock state of the electron in QED, thus connecting the Schwinger anomalous magnetic moment to the spin and orbital momentum carried by its Fock state constituents. We also compute the QED one-loop radiative corrections for the form factors for the graviton coupling to the electron and photon. Although the underlying model is derived from elementary QED perturbative couplings, it in fact can be used to simulate much more general bound state systems by applying spectral integration over the constituent masses while preserving all of the Lorentz properties, giving explicit realization of the spin sum rules and other local matrix elements. The role of orbital angular momentum in understanding the "spin crisis" problem for relativistic systems is clarified. We also prove that the anomalous gravitomagnetic moment B(0) vanishes for any composite system. This property is shown to follow directly from the Lorentz boost properties of the lightcone Fock representation and holds separately for each Fock state component. We show how the QED perturbative structure can be used to model bound state systems while preserving all Lorentz properties. We thus obtain a theoretical laboratory to test the consistency of formulae which have been proposed to probe the spin structure of hadrons.

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“…These methods will continue to be explored in various contexts, leading eventually to consideration of (supersymmetric) QCD. In fact, Paston et al [17] have already obtained a PV-like regularization of QCD that could, in principle, be solved by DLCQ; however, with present computing power the number of fields is probably too large for meaningful calculations.…”

Section: Future Workmentioning

confidence: 99%