Abstract:
We propose the light-front Lagrangian and the corresponding Hamiltonian that produce a theory perturbatively equivalent to the conventional QCD in the Lorentz coordinates after the regularization is removed. The regularization used is nonstandard and breaks the gauge invariance. But after the regularization is removed, this invariance is restored by the introduction of a finite number of counterterms with coefficients dependent on the regularization parameters.
Citation:
S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “Constructing the light-front QCD Hamiltonian”, TMF, 120:3 (1999), 417–437; Theoret. and Math. Phys., 120:3 (1999), 1164–1181
This publication is cited in the following 39 articles:
E. V. Prokhvatilov, I. A. Lebedev, M. Yu. Malyshev, “Search for Hadron Models in Light-Front Quantum Field Theory”, Phys. Part. Nuclei, 54:3 (2023), 384
Bhamre D., Misra A., “Equivalence of Light-Front and Covariant Quantum Electrodynamics At One-Loop Level and the Form of the Gauge Boson Propagator”, Pramana-J. Phys., 96:1 (2021), 5
Franke V.A. Malyshev M.Yu. Paston S.A. Prokhyatilov V E. Vyazoysky I M., “Light Front Hamiltonian For Boson Form of Qed (1+1) in Pauli-Villars Regularization”, Int. J. Mod. Phys. A, 34:21 (2019), 1950113
M. Yu. Malyshev, E. V. Prokhvatilov, R. A. Zubov, V. A. Franke, “Construction of a perturbatively correct light-front Hamiltonian for a $(2+1)$-dimensional gauge theory”, Theoret. and Math. Phys., 190:3 (2017), 411–423
R. A. Zubov, E. V. Prokhvatilov, M. Yu. Malyshev, “Model of quark–antiquark interaction in quantum chromodynamics on the light front”, Theoret. and Math. Phys., 190:3 (2017), 378–390
Malyshev M.Yu. Paston S.A. Prokhvatilov E.V. Zubov R.A. Franke V.A., “Pauli-Villars regularization in nonperturbative Hamiltonian approach on the light front”, XITH CONFERENCE ON QUARK CONFINEMENT AND HADRON SPECTRUM (Saint Petersburg, Russia, 8–12 September 2014), AIP Conference Proceedings, 1701, ed. Andrianov A. Brambilla N. Kim V. Kolevatov S., Amer Inst Physics, 2016, 100012
Malyshev M.Yu. Paston S.A. Prokhvatilov E.V. Zubov R.A., “Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization”, Int. J. Theor. Phys., 54:1 (2015), 169–184
M. Yu. Malyshev, S. A. Paston, E. V. Prokhvatilov, R. A. Zubov, V. A. Franke, “Pauli–Villars regularization and the light-front Hamiltonian in $(2+1)$-dimensional Yang–Mills theory”, Theoret. and Math. Phys., 184:3 (2015), 1314–1323
R. A. Zubov, S. A. Paston, E. V. Prokhvatilov, “Exact solution of the 't Hooft equation in the limit of heavy quarks with unequal masses”, Theoret. and Math. Phys., 184:3 (2015), 1281–1286
B.L.G. Bakker, A. Bassetto, S.J. Brodsky, W. Broniowski, S. Dalley, T. Frederico, S.D. Głazek, J.R. Hiller, C.-R. Ji, V. Karmanov, D. Kulshreshtha, J.-F. Mathiot, W. Melnitchouk, G.A. Miller, J. Papavassiliou, W.N. Polyzou, N.G. Stefanis, J.P. Vary, A. Ilderton, T. Heinzl, “Light-front quantum chromodynamics”, Nuclear Physics B - Proceedings Supplements, 251-252 (2014), 165
Karnevskiy M.S., Paston S.A., “Feynman Perturbation Theory for Gauge Theory on Transverse Lattice”, Internat J Modern Phys A, 25:18–19 (2010), 3621–3640
Chabysheva S.S., Hiller J.R., “On the nonperturbative solution of Pauli-Villars-regulated light-front QED: A comparison of the sector-dependent and standard parameterizations”, Ann Physics, 325:11 (2010), 2435–2450
Chabysheva S.S., Hiller J.R., “Nonperturbative calculation of the electron's magnetic moment with truncation extended to two photons”, Phys Rev D, 81:7 (2010), 074030
Hiller J.R., “Pauli-Villars regularization of field theories on the light front”, International Workshop on Quantum Chromodynamics:Theory and Experiment Beppe Nardulli Memorial Workshop, AIP Conference Proceedings, 1317, 2010, 156–161
Chabysheva, SS, “Restoration of the chiral limit in Pauli-Villars-regulated light-front QED”, Physical Review D, 79:11 (2009), 114017
E. M. Ilgenfriz, S. A. Paston, H. J. Pirner, E. V. Prokhvatilov, V. A. Franke, “Quantum fields on the light front, formulation in coordinates
close to the light front, lattice approximation$^1$”, Theoret. and Math. Phys., 148:1 (2006), 948–959
Chabysheva, S, “Further non-perturbative calculations of the electron's magnetic moment”, Nuclear Physics B-Proceedings Supplements, 161 (2006), 44
Brodsky, SJ, “Two-boson truncation of Pauli-Villars-regulated Yukawa theory”, Annals of Physics, 321:5 (2006), 1240
Nakawaki, Y, “Perturbative formulation of pure space-like axial gauge QED with infrared divergences regularized by residual gauge fields”, Progress of Theoretical Physics, 115:2 (2006), 425