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TWO-LOOP CALCULATIONS OF THE MATRIX Σ-MODEL EFFECTIVE ACTION IN THE BACKGROUND FIELD FORMALISM. / Bagaev, A.A.

In: Theoretical and Mathematical Physics, Vol. 154, No. 2, 2008, p. 303-310.

Research output: Contribution to journal › Article

Harvard

Bagaev, AA 2008, 'TWO-LOOP CALCULATIONS OF THE MATRIX Σ-MODEL EFFECTIVE ACTION IN THE BACKGROUND FIELD FORMALISM', Theoretical and Mathematical Physics, vol. 154, no. 2, pp. 303-310. https://doi.org/DOI: 10.1007/s11232-008-0028-5

APA

Bagaev, A. A. (2008). TWO-LOOP CALCULATIONS OF THE MATRIX Σ-MODEL EFFECTIVE ACTION IN THE BACKGROUND FIELD FORMALISM. Theoretical and Mathematical Physics, 154(2), 303-310. https://doi.org/DOI: 10.1007/s11232-008-0028-5

Vancouver

Bagaev AA. TWO-LOOP CALCULATIONS OF THE MATRIX Σ-MODEL EFFECTIVE ACTION IN THE BACKGROUND FIELD FORMALISM. Theoretical and Mathematical Physics. 2008;154(2):303-310. https://doi.org/DOI: 10.1007/s11232-008-0028-5

Author

Bagaev, A.A. / TWO-LOOP CALCULATIONS OF THE MATRIX Σ-MODEL EFFECTIVE ACTION IN THE BACKGROUND FIELD FORMALISM. In: Theoretical and Mathematical Physics. 2008 ; Vol. 154, No. 2. pp. 303-310.

BibTeX

@article{7543f4ee40e24df7b09339d0f66e8afe,
title = "TWO-LOOP CALCULATIONS OF THE MATRIX Σ-MODEL EFFECTIVE ACTION IN THE BACKGROUND FIELD FORMALISM",
abstract = "We consider the matrix σ-model in the background field formalism. In the two-loop approximation, we demonstrate the equality of {"}running coupling constants{"} in the momentum cutoff regularization and in the dimensional regularization by direct calculation. We verify that the β-function coincides with the previously obtained data. {\textcopyright} 2008 Springer Science+Business Media, Inc.",
keywords = "background field, principal chiral field, renormalization, running coupling constant",
author = "A.A. Bagaev",
year = "2008",
doi = "DOI: 10.1007/s11232-008-0028-5",
language = "English",
volume = "154",
pages = "303--310",
journal = "Theoretical and Mathematical Physics",
issn = "0040-5779",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - TWO-LOOP CALCULATIONS OF THE MATRIX Σ-MODEL EFFECTIVE ACTION IN THE BACKGROUND FIELD FORMALISM

AU - Bagaev, A.A.

PY - 2008

Y1 - 2008

N2 - We consider the matrix σ-model in the background field formalism. In the two-loop approximation, we demonstrate the equality of "running coupling constants" in the momentum cutoff regularization and in the dimensional regularization by direct calculation. We verify that the β-function coincides with the previously obtained data. © 2008 Springer Science+Business Media, Inc.

AB - We consider the matrix σ-model in the background field formalism. In the two-loop approximation, we demonstrate the equality of "running coupling constants" in the momentum cutoff regularization and in the dimensional regularization by direct calculation. We verify that the β-function coincides with the previously obtained data. © 2008 Springer Science+Business Media, Inc.

KW - background field

KW - principal chiral field

KW - renormalization

KW - running coupling constant

U2 - DOI: 10.1007/s11232-008-0028-5

DO - DOI: 10.1007/s11232-008-0028-5

M3 - Article

VL - 154

SP - 303

EP - 310

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

SN - 0040-5779

IS - 2

ER -

ID: 5257996