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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 2, Pages 354–362
DOI: https://doi.org/10.4213/tmf6174 (Mi tmf6174) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Two-loop calculations of the matrix $\sigma$-model effective action in the background field formalism

A. A. Bagaev

Saint-Petersburg State University
Full-text PDF (439 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6174
Abstract: We consider the matrix $\sigma$-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 $\beta$-function coincides with the previously obtained data.
Keywords: background field, principal chiral field, renormalization, running coupling constant.
Received: 28.12.2006
Revised: 16.03.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 2, Pages 303–310
DOI: https://doi.org/10.1007/s11232-008-0028-5
Bibliographic databases:
Language: Russian
Citation: A. A. Bagaev, “Two-loop calculations of the matrix $\sigma$-model effective action in the background field formalism”, TMF, 154:2 (2008), 354–362; Theoret. and Math. Phys., 154:2 (2008), 303–310
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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