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Resummation of non-global logarithms and...
Caron-Huot, Simon...
Resummation of non-global logarithms and the BFKL equation by Caron-Huot, Simon ( Author )
Australian National University
07-09-2023
We consider a `color density matrix' in gauge theory. We argue that it systematically resums large logarithms originating from wide-angle soft radiation, sometimes referred to as non-global logarithms, to all logarithmic orders. We calculate its anomalous dimension at leading- and next-to-leading order. Combined with a conformal transformation known to relate this problem to shockwave scattering in the Regge limit, this is used to rederive the next-to-leading order Balitsky-Fadin-Kuraev-Lipatov equation (including its nonlinear generalization, the so-called Balitsky-JIMWLK equation), finding perfect agreement with the literature. Exponentiation of divergences to all logarithmic orders is demonstrated. The possibility of obtaining the evolution equation (and BFKL) to three-loop is discussed.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1501.03754
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