Search for the IR fixed point in the twisted Polyakov loop scheme

Details Search for the IR fixed point in the twisted Polyakov loop scheme Search for the IR fixed point in the twisted Polyakov loop scheme

2009-10-21

arxiv.org/abs/0910.4196v1

PoS LAT2009:063,2009

Physics

High Energy Physics

High Energy Physics - Lattice

8pages, Proceedings at the XXVII International Symposium on Lattice Field Theory, July 26-31 2009, Peking University, Beijing,

Scientific paper

We present a non-perturbative study of the running coupling constant in the Twisted Polyakov Loop (TPL) scheme. We investigate how the systematic and statistical errors can be controlled {\it via} a feasibility study in SU(3) pure Yang-Mills theory. We show that our method reproduces the perturbative determination of the running coupling in the UV. In addition, our numerical result agrees with the theoretical prediction of this coupling constant in the IR. We also present our preliminary results for $N_f=12$ QCD, where an IR fixed point may be present.

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