Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic quantization of an Abelian gauge theory   We study the Langevin dynamics of a U(1) lattice gauge theory on the torus,
and prove that they converge for short time in a suitable gauge to a system of
stochastic PDEs driven by space-time white noises. This also yields convergence
of some gauge invariant observables on a short time interval. We fix gauge via
a DeTurck trick, and prove a version of Ward identity which results in
cancellation of renormalization constants that would otherwise break gauge
symmetry. The proof relies on a discrete version of the theory of regularity
structures.

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The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an