Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Manifestly gauge invariant exact renormalization group for quantum
  electrodynamics   We formulate quantum electrodynamics on the basis of gauge (or BRST)
covariant diffusion equations of fields. This is a particular example of the
gradient flow exact renormalization group (GFERG). The resulting Wilson action
fulfills a simple gauge Ward--Takahashi identity. We solve the GFERG equation
around the Gaussian fixed point to the second order in gauge coupling and
obtain the 1-loop beta function and anomalous dimensions. The anomalous
dimension of the electron field coincides with that of the fermion field
diffused by a gauge covariant flow equation of L\"uscher.

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The categories of this paper are: physics
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys