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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 1, Pages 69–76
DOI: https://doi.org/10.4213/tmf215 (Mi tmf215) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Ultraviolet Finiteness of Chiral Perturbation Theory in Two-Dimensional Quantum Electrodynamics

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
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DOI: https://doi.org/10.4213/tmf215
Abstract: We consider the perturbation theory in the fermion mass (chiral perturbation theory) in the two-dimensional quantum electrodynamics. With this aim, we rewrite the theory in the equivalent bosonic form in which the interaction has the exponential form and the fermion mass becomes the coupling constant. We reformulate the bosonic perturbation theory in the superpropagator language and analyze its ultraviolet behavior. We show that the boson Green's functions without vacuum loops remain finite in all orders of the perturbation theory in the fermion mass.
Keywords: quantum field theory, perturbation theory, Schwinger model.
Received: 16.05.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 1, Pages 951–957
DOI: https://doi.org/10.1023/A:1024545521868
Bibliographic databases:
Language: Russian
Citation: S. A. Paston, E. V. Prokhvatilov, V. A. Franke, “Ultraviolet Finiteness of Chiral Perturbation Theory in Two-Dimensional Quantum Electrodynamics”, TMF, 136:1 (2003), 69–76; Theoret. and Math. Phys., 136:1 (2003), 951–957
Citation in format AMSBIB
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\by S.~A.~Paston, E.~V.~Prokhvatilov, V.~A.~Franke
\paper Ultraviolet Finiteness of Chiral Perturbation Theory in Two-Dimensional Quantum Electrodynamics
\jour TMF
\yr 2003
\vol 136
\issue 1
\pages 69--76
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\crossref{https://doi.org/10.4213/tmf215}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129681}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 136
\issue 1
\pages 951--957
\crossref{https://doi.org/10.1023/A:1024545521868}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000184767700005}
Linking options:
  • https://www.mathnet.ru/eng/tmf215
  • https://doi.org/10.4213/tmf215
  • https://www.mathnet.ru/eng/tmf/v136/i1/p69
    • This publication is cited in the following 2 articles:
    1. 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  mathscinet  isi  scopus
    2. 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
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :191
    References:78
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