Noncompact gauge fields on a lattice: SU(n) theories
Fabrizio Palumbo, Roberto Scimia
TL;DR
This paper extends a noncompact lattice regularization method from SU(2) to SU(n) gauge theories, showing it can produce larger physical volumes than Wilson's approach, with potential implications for lattice gauge theory simulations.
Contribution
It generalizes the noncompact regularization to SU(n) theories for any n, expanding its applicability beyond SU(2).
Findings
Noncompact regularization yields larger physical volumes than Wilson's for SU(2).
The method is successfully extended to all SU(n) groups.
Properties of the extended regularization are investigated.
Abstract
Recently it has been found that in a noncompact lattice regularization of the SU(2) gauge theory the physical volume is larger than in the Wilson theory with the same number of sites. In its original formulation the noncompact regularization is directly applicable to U(n) theories for any n and to SU(n) theories for n=2. In this paper we extend it to SU(n) for any n and investigate some of its properties.
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