Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Master Equation for QED in Exact Renormalization Group   Recently, one of us (H.S.) gave an explicit form of the Ward-Takahashi
identity for the Wilson action of QED. We first rederive the identity using a
functional method. The identity makes it possible to realize the gauge symmetry
even in the presence of a momentum cutoff. In the cutoff dependent realization,
the abelian nature of the gauge symmetry is lost, breaking the nilpotency of
the BRS transformation. Using the Batalin-Vilkovisky formalism, we extend the
Wilson action by including the antifield contributions. Then, the
Ward-Takahashi identity for the Wilson action is lifted to a quantum master
equation, and the modified BRS transformation regains nilpotency. We also
obtain a flow equation for the extended Wilson action.

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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas