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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 2, Pages 272–284
DOI: https://doi.org/10.4213/tmf6728
(Mi tmf6728)
 

This article is cited in 10 scientific papers (total in 10 papers)

Construction of the light-front QCD Hamiltonian with zero modes modeling the vacuum

M. Yu. Malyshev, E. V. Prokhvatilov

Saint Petersburg State University, St. Petersburg, Russia
References:
Abstract: We present an attempt to construct a QCD Hamiltonian on the light front (LF), including a semiphenomenological description of vacuum effects. In this approach, we obtain the LF theory via a limit transition from the theory formulated on spacelike planes near the LF. For the zero Fourier modes of fields in the coordinate along the light cone to remain independent dynamical variables on the LF, we realize the limit transition differently for zero and nonzero modes. The zero modes then model the vacuum on the LF and allow introducing a semiphenomenological description of vacuum effects. For a gauge-invariant regularization, we introduce a lattice in the space of “transverse” coordinates and a gauge-invariant cutoff of the momentum component along the light cone. We introduce a new description of field variables on the lattice, using unitary matrices related to the lattice links for the gluon zero modes and Hermitian matrices related to the corresponding lattice sites for the nonzero modes.
Keywords: gauge field, QCD, light front, Hamiltonian approach, transverse lattice.
Received: 19.11.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 2, Pages 1600–1610
DOI: https://doi.org/10.1007/s11232-011-0137-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Yu. Malyshev, E. V. Prokhvatilov, “Construction of the light-front QCD Hamiltonian with zero modes modeling the vacuum”, TMF, 169:2 (2011), 272–284; Theoret. and Math. Phys., 169:2 (2011), 1600–1610
Citation in format AMSBIB
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\by M.~Yu.~Malyshev, E.~V.~Prokhvatilov
\paper Construction of the~light-front QCD Hamiltonian with zero modes modeling the~vacuum
\jour TMF
\yr 2011
\vol 169
\issue 2
\pages 272--284
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\crossref{https://doi.org/10.4213/tmf6728}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011TMP...169.1600M}
\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 169
\issue 2
\pages 1600--1610
\crossref{https://doi.org/10.1007/s11232-011-0137-4}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055191264}
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  • https://www.mathnet.ru/eng/tmf6728
  • https://doi.org/10.4213/tmf6728
  • https://www.mathnet.ru/eng/tmf/v169/i2/p272
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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