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The light-front Hamiltonian formalism for two-dimensional quantum electrodynamics equivalent to the Lorentz-covariant approach. / Paston, S. A.; Prokhvatilov, E. V.; Franke, V. A.

In: Theoretical and Mathematical Physics, Vol. 131, No. 1, 2002, p. 516-526.

Research output: Contribution to journal › Article › peer-review

Harvard

Paston, SA, Prokhvatilov, EV & Franke, VA 2002, 'The light-front Hamiltonian formalism for two-dimensional quantum electrodynamics equivalent to the Lorentz-covariant approach', Theoretical and Mathematical Physics, vol. 131, no. 1, pp. 516-526. https://doi.org/10.1023/A:1015105803508

APA

Paston, S. A., Prokhvatilov, E. V., & Franke, V. A. (2002). The light-front Hamiltonian formalism for two-dimensional quantum electrodynamics equivalent to the Lorentz-covariant approach. Theoretical and Mathematical Physics, 131(1), 516-526. https://doi.org/10.1023/A:1015105803508

Vancouver

Paston SA, Prokhvatilov EV, Franke VA. The light-front Hamiltonian formalism for two-dimensional quantum electrodynamics equivalent to the Lorentz-covariant approach. Theoretical and Mathematical Physics. 2002;131(1):516-526. https://doi.org/10.1023/A:1015105803508

Author

Paston, S. A. ; Prokhvatilov, E. V. ; Franke, V. A. / The light-front Hamiltonian formalism for two-dimensional quantum electrodynamics equivalent to the Lorentz-covariant approach. In: Theoretical and Mathematical Physics. 2002 ; Vol. 131, No. 1. pp. 516-526.

BibTeX

@article{082d0b9cbf9e4b31b7bba74969783e74,
title = "The light-front Hamiltonian formalism for two-dimensional quantum electrodynamics equivalent to the Lorentz-covariant approach",
abstract = "A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic perturbation theory in all orders in the fermion mass. The resulting Hamiltonian involves a supplementary counterterm in addition to the usual terms appearing in the naive light-front quantization. This term is proportional to a linear combination of zeroth fermion modes (which are multiplied by a factor compensating the charge and fermion number). The coefficient of the counterterm has no ultraviolet divergence, depends on the value of the fermion condensate in the θ-vacuum, and is linear in this value for a small fermion mass.",
author = "Paston, {S. A.} and Prokhvatilov, {E. V.} and Franke, {V. A.}",
year = "2002",
doi = "10.1023/A:1015105803508",
language = "English",
volume = "131",
pages = "516--526",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - The light-front Hamiltonian formalism for two-dimensional quantum electrodynamics equivalent to the Lorentz-covariant approach

AU - Paston, S. A.

AU - Prokhvatilov, E. V.

AU - Franke, V. A.

PY - 2002

Y1 - 2002

N2 - A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic perturbation theory in all orders in the fermion mass. The resulting Hamiltonian involves a supplementary counterterm in addition to the usual terms appearing in the naive light-front quantization. This term is proportional to a linear combination of zeroth fermion modes (which are multiplied by a factor compensating the charge and fermion number). The coefficient of the counterterm has no ultraviolet divergence, depends on the value of the fermion condensate in the θ-vacuum, and is linear in this value for a small fermion mass.

AB - A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic perturbation theory in all orders in the fermion mass. The resulting Hamiltonian involves a supplementary counterterm in addition to the usual terms appearing in the naive light-front quantization. This term is proportional to a linear combination of zeroth fermion modes (which are multiplied by a factor compensating the charge and fermion number). The coefficient of the counterterm has no ultraviolet divergence, depends on the value of the fermion condensate in the θ-vacuum, and is linear in this value for a small fermion mass.

UR - http://www.scopus.com/inward/record.url?scp=0036252759&partnerID=8YFLogxK

U2 - 10.1023/A:1015105803508

DO - 10.1023/A:1015105803508

M3 - Article

AN - SCOPUS:0036252759

VL - 131

SP - 516

EP - 526

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 9218431