Built on

A. González-Arroyo and M. Okawa, Large N N reduction with the Twisted Eguchi-Kawai model
Original
1981
Earlier work this paper cites.
A. González-Arroyo and M. Okawa, A Twisted Model for Large N N Lattice Gauge Theory
1983
Earlier work this paper cites.
A. González-Arroyo and M. Okawa, The Twisted Eguchi-Kawai Model: A Reduced Model for Large N Lattice Gauge Theory
1983
Earlier work this paper cites.
M. Luscher, P. Weisz, and U. Wolff, A Numerical method to compute the running coupling in asymptotically free theories
1991
Earlier work this paper cites.
J. R. Snippe, Square Symanzik action to one-loop order
1996
Earlier work this paper cites.
J. R. Snippe, Computation of the one-loop Symanzik coefficients for the square action
1997
Earlier work this paper cites.
A. González-Arroyo, Yang-Mills fields on the 4-dimensional torus. Part I: Classical Theory
1998
Earlier work this paper cites.
R. Narayanan and H. Neuberger, Infinite N phase transitions in continuum Wilson loop operators
2006
Earlier work this paper cites.

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Then

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2014

The $SU(\infty)$ twisted gradient flow running coupling

Pérez, Margarita García, González-Arroyo, Antonio, Keegan, Liam et al.

Understand

We measure the running of the $SU(\infty)$ 't Hooft coupling by performing a step scaling analysis of the Twisted Eguchi-Kawai (TEK) model, the SU($N$) gauge theory on a single site lattice with twisted boundary conditions.

The computation relies on the conjecture that finite volume effects for SU(N) gauge theories defined on a 4-dimensional twisted torus are controlled by an effective size parameter $\tilde l = l \sqrt{N}$, with $l$ the torus period.
We set the scale for the running coupling in terms of $\tilde l$ and use the gradient flow to define a renormalized 't Hooft coupling $\lambda(\tilde l)$.
In the TEK model, this idea allows the determination of the running of the coupling through a step scaling procedure that uses the rank of the group as a size parameter.

Built on

A. González-Arroyo and M. Okawa, Large N N reduction with the Twisted Eguchi-Kawai model
Original
1981
Earlier work this paper cites.
A. González-Arroyo and M. Okawa, A Twisted Model for Large N N Lattice Gauge Theory
1983
Earlier work this paper cites.
A. González-Arroyo and M. Okawa, The Twisted Eguchi-Kawai Model: A Reduced Model for Large N Lattice Gauge Theory
1983
Earlier work this paper cites.
M. Luscher, P. Weisz, and U. Wolff, A Numerical method to compute the running coupling in asymptotically free theories
1991
Earlier work this paper cites.
J. R. Snippe, Square Symanzik action to one-loop order
1996
Earlier work this paper cites.
J. R. Snippe, Computation of the one-loop Symanzik coefficients for the square action
1997
Earlier work this paper cites.
A. González-Arroyo, Yang-Mills fields on the 4-dimensional torus. Part I: Classical Theory
1998
Earlier work this paper cites.
R. Narayanan and H. Neuberger, Infinite N phase transitions in continuum Wilson loop operators
2006
Earlier work this paper cites.