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Ultraviolet finiteness of chiral perturbation theory in two-dimensional quantum electrodynamics. / Paston, S. A.; Prokhvatilov, E. V.; Franke, V. A.

In: Theoretical and Mathematical Physics, Vol. 136, No. 1, 07.2003, p. 951-957.

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

Harvard

Paston, SA, Prokhvatilov, EV & Franke, VA 2003, 'Ultraviolet finiteness of chiral perturbation theory in two-dimensional quantum electrodynamics', Theoretical and Mathematical Physics, vol. 136, no. 1, pp. 951-957. https://doi.org/10.1023/A:1024545521868

APA

Paston, S. A., Prokhvatilov, E. V., & Franke, V. A. (2003). Ultraviolet finiteness of chiral perturbation theory in two-dimensional quantum electrodynamics. Theoretical and Mathematical Physics, 136(1), 951-957. https://doi.org/10.1023/A:1024545521868

Vancouver

Paston SA, Prokhvatilov EV, Franke VA. Ultraviolet finiteness of chiral perturbation theory in two-dimensional quantum electrodynamics. Theoretical and Mathematical Physics. 2003 Jul;136(1):951-957. https://doi.org/10.1023/A:1024545521868

Author

Paston, S. A. ; Prokhvatilov, E. V. ; Franke, V. A. / Ultraviolet finiteness of chiral perturbation theory in two-dimensional quantum electrodynamics. In: Theoretical and Mathematical Physics. 2003 ; Vol. 136, No. 1. pp. 951-957.

BibTeX

@article{b6d00efd071446259ea3665418d23f2a,
title = "Ultraviolet finiteness of chiral perturbation theory in two-dimensional quantum electrodynamics",
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 = "Perturbation theory, Quantum field theory, Schwinger model",
author = "Paston, {S. A.} and Prokhvatilov, {E. V.} and Franke, {V. A.}",
year = "2003",
month = jul,
doi = "10.1023/A:1024545521868",
language = "English",
volume = "136",
pages = "951--957",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Ultraviolet finiteness of chiral perturbation theory in two-dimensional quantum electrodynamics

AU - Paston, S. A.

AU - Prokhvatilov, E. V.

AU - Franke, V. A.

PY - 2003/7

Y1 - 2003/7

N2 - 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.

AB - 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.

KW - Perturbation theory

KW - Quantum field theory

KW - Schwinger model

UR - http://www.scopus.com/inward/record.url?scp=0038503680&partnerID=8YFLogxK

U2 - 10.1023/A:1024545521868

DO - 10.1023/A:1024545521868

M3 - Article

AN - SCOPUS:0038503680

VL - 136

SP - 951

EP - 957

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 9218348