Testing volume independence of SU(N) pure gauge theories at large N
Antonio Gonzalez-Arroyo, Masanori Okawa
TL;DR
This paper investigates whether Wilson loop expectation values in SU(N) gauge theories remain unchanged with lattice size at large N, supporting the twisted reduction mechanism and TEK model under specific flux conditions.
Contribution
It provides high-precision evidence confirming volume independence in SU(N) gauge theories at large N, emphasizing the importance of boundary conditions and flux choices.
Findings
Wilson loop expectation values are volume independent at large N.
Twisted reduction mechanism and TEK model are validated with proper fluxes.
Results support the theoretical predictions of volume independence in large N gauge theories.
Abstract
In this paper we present our results concerning the dependence of Wilson loop expectation values on the size of the lattice and the rank of the SU(N) gauge group. This allows to test the claims about volume independence in the large N limit, and the crucial dependence on boundary conditions. Our highly precise results provide strong support for the validity of the twisted reduction mechanism and the TEK model, provided the fluxes are chosen within the appropriate domain.
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