Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The energy identity for a sequence of Yang-Mills {\alpha}-connections   We prove that the Yang-Mills $\alpha$-functional satisfies the Palais-Smale
condition. This guarantees the existence of critical points, which are called
Yang-Mills $\alpha$-connections. It was shown by Hong, Tian and Yin in [10] (to
appear in Comm. Math. Helv.) that as $\alpha \to 1$, a sequence of Yang-Mills
$\alpha$-connections converges to a Yang-Mills connection away from finitely
many points. We prove an energy identity for such a sequence of Yang-Mills
$\alpha$-connections. As an application, we also prove an energy identity for
the Yang-Mills flow at the maximal existence time.

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The categories of this paper are: adap-org
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: nlin