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The SU(∞) twisted gradient flow running coupling
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DOI：10.1007/JHEP01(2015)038.png)
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摘要
En 中文
We measure the running of the SU(infinity) '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 (l) over tilde - l root N, with l the torus period. We set the scale for the running coupling in terms of (l) over tilde and use the gradient flow to define a renormalized 't Hooft coupling lambda((l) over tilde). 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. The continuum renormalized coupling constant is extracted in the zero lattice spacing limit, which in the TEK model corresponds to the large N limit taken at fixed value of lambda((l) over tilde). The coupling constant is thus expected to coincide with that of the ordinary pure gauge theory at N = infinity. The idea is shown to work and permits us to follow the evolution of the coupling over a wide range of scales. At weak coupling we find a remarkable agreement with the perturbative two-loop formula for the running coupling.
Keyword:
Lattice Gauge Field Theories
1/N Expansion
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5.5
论文数:
4.0W
被引数:
13.7W
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