Two-loop calculations of the matrix σ-model effective action in the background field formalism

Details Two-loop calculations of the matrix σ-model effective action in the background field formalism Two-loop calculations of the matrix σ-model effective action in the background field formalism

Feb 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008tmp...154..303b&link_type=abstract

Theoretical and Mathematical Physics, Volume 154, Issue 2, pp.303-310

Mathematics

Mathematical Physics

Background Field, Principal Chiral Field, Renormalization, Running Coupling Constant

Scientific paper

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.

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