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TMF, 1999, Volume 120, Number 3, Pages 417–437 (Mi tmf788)  

This article is cited in 35 scientific papers (total in 35 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

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.

DOI: https://doi.org/10.4213/tmf788

Full text: PDF file (326 kB)
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English version:
Theoretical and Mathematical Physics, 1999, 120:3, 1164–1181

Bibliographic databases:

Received: 13.01.1999

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
\mathnet{http://mi.mathnet.ru/tmf788}
\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}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Miller, GA, “Light front quantization - A technique for relativistic and realistic nuclear physics”, Progress in Particle and Nuclear Physics, 45:1 (2000), 83  crossref  adsnasa  isi  scopus  scopus
    2. Hiller, JR, “Calculations with DLCQ”, Nuclear Physics B-Proceedings Supplements, 90 (2000), 170  crossref  adsnasa  isi  scopus  scopus  scopus
    3. Hiller, JR, “Application of discrete light-cone quantization to Yukawa theory in four dimensions”, International Journal of Modern Physics A, 16 (2001), 1213  crossref  adsnasa  isi  scopus  scopus  scopus
    4. Brodsky, SJ, “QCD phenomenology and light-front wavefunctions”, Acta Physica Polonica B, 32:12 (2001), 4013  adsnasa  isi
    5. Brodsky, SJ, “Application of Pauli-Villars regularization and discretized light-cone quantization to a single-fermion truncation of Yukawa theory”, Physical Review D, 6411:11 (2001), 114023  crossref  mathscinet  adsnasa  isi  scopus  scopus
    6. Pirner, HJ, “Low x scattering as a critical phenomenon”, Physics Letters B, 521:3–4 (2001), 279  crossref  adsnasa  isi  scopus  scopus  scopus
    7. Brodsky, SJ, “Light-cone representation of the spin and orbital angular momentum of relativistic composite systems”, Nuclear Physics B, 593:1–2 (2001), 311  crossref  zmath  adsnasa  isi  scopus  scopus  scopus
    8. Srivastava P.P., Brodsky S.J., “Light-front-quantized QCD in the light-cone gauge: The doubly transverse gauge propagator”, Physical Review D, 64:4 (2001), 045006  crossref  adsnasa  isi
    9. S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “The Light-Front Hamiltonian Formalism for Two-Dimensional Quantum Electrodynamics Equivalent to the Lorentz-Covariant Approach”, Theoret. and Math. Phys., 131:1 (2002), 516–526  mathnet  crossref  crossref  mathscinet  zmath  isi
    10. Paston, SA, “On the correspondence between a light-front Hamiltonian approach and a Lorentz-covariant formulation for quantum gauge theories”, Nuclear Physics B-Proceedings Supplements, 108 (2002), 189  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    11. McCartor, G, “Lessons from gauge (and nongauge) theories in low (< 12) dimensions”, Nuclear Physics B-Proceedings Supplements, 108 (2002), 217  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    12. Hiller, JR, “Wave functions and spectra from (S)DLCQ”, Nuclear Physics B-Proceedings Supplements, 108 (2002), 283  crossref  zmath  adsnasa  isi  scopus  scopus  scopus
    13. Brodsky, SJ, “Exact solutions to Pauli-Villars-regulated field theories”, Annals of Physics, 296:2 (2002), 406  crossref  zmath  adsnasa  isi  scopus  scopus  scopus
    14. S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “Ultraviolet Finiteness of Chiral Perturbation Theory in Two-Dimensional Quantum Electrodynamics”, Theoret. and Math. Phys., 136:1 (2003), 951–957  mathnet  crossref  crossref  mathscinet  isi
    15. Brodsky, SJ, “The mass renormalization of nonperturbative light-front Hamiltonian theory: an illustration using truncated, Pauli-Villars-regulated Yukawa interactions”, Annals of Physics, 305:2 (2003), 266  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    16. S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “Gauge-Invariant Regularization of Quantum Field Theory on the Light Front”, Theoret. and Math. Phys., 139:3 (2004), 807–822  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    17. Brodsky, SJ, “A nonperturbative calculation of the electron's magnetic moment”, Nuclear Physics B, 703:1–2 (2004), 333  crossref  zmath  adsnasa  isi  scopus  scopus  scopus
    18. Paston SA, Prokhvatilov EV, Franke VA, “Calculation of the mass spectrum of QED-2 in light-front coordinates”, Physics of Atomic Nuclei, 68:2 (2005), 267–278  crossref  adsnasa  isi  scopus  scopus  scopus
    19. 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
    20. 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
    21. 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
    22. 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
    23. Dalley, S, “Spontaneously broken quark helicity symmetry”, Annals of Physics, 321:2 (2006), 402  crossref  zmath  adsnasa  isi  scopus  scopus  scopus
    24. 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
    25. 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
    26. 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
    27. 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
    28. 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
    29. 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
    30. 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
    31. 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
    32. Hiller J.R., “Nonperturbative light-front Hamiltonian methods”, Prog. Part. Nucl. Phys., 90 (2016), 75–124  crossref  mathscinet  isi  elib  scopus
    33. 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
    34. 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
    35. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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