“…In the previous formulas we have added a third column corresponding to the infinite volume limit. It reproduces the results of Weisz, Wetzel and Wohlert [11] for the four dimensional case.…”
Section: Jhep10(2017)150 4 Analysis Of the Resultssupporting
confidence: 71%
“…We also add the coefficient K(R, R) used in ref. [11]. Our calculations are consistent with the precise results of ref.…”
Section: Numerical Evaluation Of the Coefficients In Four Dimensionssupporting
confidence: 82%
“…As mentioned in the introduction, this problem has been addressed earlier by several authors [7][8][9][10][11][12]. The main difference of our work with others is that we will consider arbitrary orthogonal irreducible twisted boundary conditions on the lattice [13,59].…”
Section: Jhep10(2017)150mentioning
confidence: 89%
“…[9][10][11], we arrive at the following expression for the coefficients of the logarithm of the Wilson loop at O(g 4 ):…”
Section: Results Of the Perturbative Expansion Of Wilson Loopsmentioning
confidence: 99%
“…Other studies simply ignored the problem by expanding around a single type of minima [7]. The results should approach those obtained at infinite volume [8][9][10][11][12]. 1 't Hooft realized that PBC are not the only possible boundary conditions for SU(N) gauge theories on the torus.…”
Abstract:We compute the perturbative expression of Wilson loops up to order g 4 for SU(N ) lattice gauge theories with Wilson action on a finite box with twisted boundary conditions. Our formulas are valid for any dimension and any irreducible twist. They contain as a special case that of the 4-dimensional Twisted Eguchi-Kawai model for a symmetric twist with flux k. Our results allow us to analyze the finite volume corrections as a function of the flux. In particular, one can quantify the approach to volume independence at large N as a function of flux k. The contribution of fermion fields in the adjoint representation is also analyzed.
“…In the previous formulas we have added a third column corresponding to the infinite volume limit. It reproduces the results of Weisz, Wetzel and Wohlert [11] for the four dimensional case.…”
Section: Jhep10(2017)150 4 Analysis Of the Resultssupporting
confidence: 71%
“…We also add the coefficient K(R, R) used in ref. [11]. Our calculations are consistent with the precise results of ref.…”
Section: Numerical Evaluation Of the Coefficients In Four Dimensionssupporting
confidence: 82%
“…As mentioned in the introduction, this problem has been addressed earlier by several authors [7][8][9][10][11][12]. The main difference of our work with others is that we will consider arbitrary orthogonal irreducible twisted boundary conditions on the lattice [13,59].…”
Section: Jhep10(2017)150mentioning
confidence: 89%
“…[9][10][11], we arrive at the following expression for the coefficients of the logarithm of the Wilson loop at O(g 4 ):…”
Section: Results Of the Perturbative Expansion Of Wilson Loopsmentioning
confidence: 99%
“…Other studies simply ignored the problem by expanding around a single type of minima [7]. The results should approach those obtained at infinite volume [8][9][10][11][12]. 1 't Hooft realized that PBC are not the only possible boundary conditions for SU(N) gauge theories on the torus.…”
Abstract:We compute the perturbative expression of Wilson loops up to order g 4 for SU(N ) lattice gauge theories with Wilson action on a finite box with twisted boundary conditions. Our formulas are valid for any dimension and any irreducible twist. They contain as a special case that of the 4-dimensional Twisted Eguchi-Kawai model for a symmetric twist with flux k. Our results allow us to analyze the finite volume corrections as a function of the flux. In particular, one can quantify the approach to volume independence at large N as a function of flux k. The contribution of fermion fields in the adjoint representation is also analyzed.
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.
We report the result of a computation of the relation between the renormalized coupling in the MS scheme of dimensional regularization and the bare coupling in the standard lattice formulation of the SU(N) Yang-Mills theory to two-loop order of perturbation theory and discuss some of its implications.February 1995
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