# Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories

@article{Itou2013PropertiesOT,
title={Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories},
author={Etsuko Itou},
journal={Progress of Theoretical and Experimental Physics},
year={2013},
volume={2013}
}
• E. Itou
• Published 6 December 2012
• Physics
• Progress of Theoretical and Experimental Physics
We report the nonperturbative behavior of the twisted Polyakov loop (TPL) coupling constant for the SU(3) gauge theories defined by the ratio of Polyakov loop correlators in finite volume with twisted boundary condition. We reveal the vacuum structures and the phase structure for the lattice gauge theory with the twisted boundary condition. Carrying out the numerical simulations, we determine the nonperturbative running coupling constant in this renormalization scheme for the quenched QCD and N…
20 Citations

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## References

SHOWING 1-10 OF 103 REFERENCES
Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Physics
• 2010
We have measured the running coupling constant of SU(3) gauge theory coupled to N{sub f}=2 flavors of symmetric representation fermions, using the Schroedinger functional scheme. Our lattice action
Evidence for a conformal phase in SU(N) gauge theories
• Physics
• 2010
We discuss the existence of a conformal phase in SU(N) gauge theories in four dimensions. In this lattice study, we explore the model in the bare parameter space, varying the lattice coupling and
Hot Conformal Gauge Theories
• Physics
• 2010
We compute the nonzero temperature free energy up to the order g 6 ln(1/g) in the coupling constant for vectorlike SU(N) gauge theories featuring matter transforming according to different
Running coupling constant of ten-flavor QCD with the Schrodinger functional method
• Physics
• 2011
The walking technicolor theory attempts to realize electroweak symmetry breaking as the spontaneous chiral symmetry breakdown caused by the gauge dynamics with slowly varying gauge coupling constant
Novel phase in SU(3) lattice gauge theory with 12 light fermions
• Physics
• 2012
We study the phase structure of SU(3) lattice gauge theory with ${N}_{f}=12$ staggered fermions in the fundamental representation, for both zero and finite temperature at strong gauge couplings. For
Conformal or walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions
Strongly coupled gauge systems with many fermions are important in many phenomenological models. I use the 2-lattice matching Monte Carlo renormalization group method to study the fixed point
Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions
We measure the evolution of the coupling constant using the Schroedinger functional method in the lattice formulation of SU(2) gauge theory with two massless Dirac fermions in the adjoint