Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beta function and infrared renormalons in the exact Wilson
  renormalization group in Yang-Mills theory   We discuss the relation between the Gell-Mann-Low beta function and the
``flowing couplings'' of the Wilsonian action $S_\L[\phi]$ of the exact
renormalization group (RG) at the scale $\L$. This relation involves the
ultraviolet region of $\L$ so that the condition of renormalizability is
equivalent to the Callan-Symanzik equation. As an illustration, by using the
exact RG formulation, we compute the beta function in Yang-Mills theory to one
loop (and to two loops for the scalar case). We also study the infrared (IR)
renormalons. This formulation is particularly suited for this study since: $i$)
$\L$ plays the r\^ole of a IR cutoff in Feynman diagrams and non-perturbative
effects could be generated as soon as $\L$ becomes small; $ii$) by a
systematical resummation of higher order corrections the Wilsonian flowing
couplings enter directly into the Feynman diagrams with a scale given by the
internal loop momenta; $iii$) these couplings tend to the running coupling at
high frequency, they differ at low frequency and remain finite all the way down
to zero frequency.

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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc