Background field method in the gradient flow

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15 Citations (Scopus)


In perturbative consideration of the Yang-Mills gradient flow, it is useful to introduce a gauge non-covariant term("gauge-fixing term") to the flow equation that gives rise to a Gaussian damping factor also for gauge degrees of freedom. In the present paper, we consider a modified formof the gauge-fixing termthat manifestly preserves covariance under the background gauge transformation. It is shown that our gauge-fixing term does not affect gauge-invariant quantities as does the conventional gauge-fixing term. The formulation thus allows a background gauge covariant perturbative expansion of the flow equation that provides, in particular, a very efficient computational method of expansion coefficients in the small flow time expansion. The formulation can be generalized to systems containing fermions.

Original languageEnglish
Article number103B03
JournalProgress of Theoretical and Experimental Physics
Issue number10
Publication statusPublished - Oct 2015

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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