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arXiv · 1506.04529

Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD

Matteo Giordano
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Abstract

We study the renormalisation of $SU(N_c)$ gauge theories on general anisotropic lattices, to one-loop order in perturbation theory, employing the background field method. The results are then applied in the context of two different approaches to hadronic high-energy scattering. In the context of the Euclidean nonperturbative approach to soft high-energy scattering based on Wilson loops, we refine the nonperturbative justification of the analytic continuation relations of the relevant Wilson-loop correlators, required to obtain physical results. In the context of longitudinally-rescaled actions, we study the consequences of one-loop corrections on the relation between the $SU(N_c)$ gauge theory and its effective description in terms of two-dimensional principal chiral models.

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Matteo Giordano. 2015-06-15. Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD. https://doi.org/10.1103/physrevd.92.034514

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