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Teoreticheskaya i Matematicheskaya Fizika, 1999, Volume 120, Number 3, Pages 417–437
DOI: https://doi.org/10.4213/tmf788
(Mi tmf788)
 

This article is cited in 39 scientific papers (total in 39 papers)

Constructing the light-front QCD Hamiltonian

S. A. Pastona, E. V. Prokhvatilovb, V. A. Frankea

a Saint-Petersburg State University
b V. A. Fock Institute of Physics, Saint-Petersburg State University
References:
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.
Received: 13.01.1999
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 3, Pages 1164–1181
DOI: https://doi.org/10.1007/BF02557241
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\by S.~A.~Paston, E.~V.~Prokhvatilov, V.~A.~Franke
\paper Constructing the light-front QCD Hamiltonian
\jour TMF
\yr 1999
\vol 120
\issue 3
\pages 417--437
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\crossref{https://doi.org/10.4213/tmf788}
\zmath{https://zbmath.org/?q=an:0985.81129}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 3
\pages 1164--1181
\crossref{https://doi.org/10.1007/BF02557241}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000084178900006}
Linking options:
  • https://www.mathnet.ru/eng/tmf788
  • https://doi.org/10.4213/tmf788
  • https://www.mathnet.ru/eng/tmf/v120/i3/p417
  • This publication is cited in the following 39 articles:
    1. 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  crossref
    2. 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  crossref  isi
    3. 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  crossref  isi
    4. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    6. Hiller J.R., “Nonperturbative light-front Hamiltonian methods”, Prog. Part. Nucl. Phys., 90 (2016), 75–124  crossref  mathscinet  isi  elib  scopus
    7. 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  crossref  isi  scopus
    8. 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  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    9. 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  mathnet  crossref  crossref  mathscinet  adsnasa  elib
    10. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    11. 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  crossref
    12. 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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus  scopus
    13. 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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus  scopus
    14. 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  crossref  adsnasa  isi  elib  scopus  scopus  scopus
    15. 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  crossref  adsnasa  isi  scopus  scopus
    16. Chabysheva, SS, “Restoration of the chiral limit in Pauli-Villars-regulated light-front QED”, Physical Review D, 79:11 (2009), 114017  crossref  adsnasa  isi  elib  scopus  scopus  scopus
    17. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    18. Chabysheva, S, “Further non-perturbative calculations of the electron's magnetic moment”, Nuclear Physics B-Proceedings Supplements, 161 (2006), 44  crossref  adsnasa  isi  elib  scopus  scopus  scopus
    19. Brodsky, SJ, “Two-boson truncation of Pauli-Villars-regulated Yukawa theory”, Annals of Physics, 321:5 (2006), 1240  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    20. 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  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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