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The Infrared behavior of SU(3) Nf=12 gauge theory -about the existence of conformal fixed point-

Kenji Ogawa, Tatsumi Aoyama, Hiroaki Ikeda, Etsuko Itou, Masafumi Kurachi, C.-J. David Lin, Hideo Matsufuru, Hiroshi Ohki, Tetsuya Onogi, Eigo Shintani, Takeshi Yamazaki
Institute of Physics, National Chiao-Tung University, Hsinchu 300, Taiwan
arXiv:1111.1575v1 [hep-lat] (7 Nov 2011)

@article{2011arXiv1111.1575O,

   author={Ogawa}, K. and {Aoyama}, T. and {Ikeda}, H. and {Itou}, E. and {Kurachi}, M. and {Lin}, C.-J.~D. and {Matsufuru}, H. and {Ohki}, H. and {Onogi}, T. and {Shintani}, E. and {Yamazaki}, T.},

   title={The Infrared behavior of SU(3) Nf=12 gauge theory -about the existence of conformal fixed point-},

   journal={ArXiv e-prints},

   archivePrefix={arXiv},

   eprint={1111.1575},

   primaryClass={hep-lat},

   keywords={High Energy Physics – Lattice},

   year={2011},

   month={nov},

   adsurl={http://adsabs.harvard.edu/abs/2011arXiv1111.1575O},

   adsnote={Provided by the SAO/NASA Astrophysics Data System}

}

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Incorporated with twisted boundary condition, Polyakov loop correlators can give a definition of the renormalized coupling. We employ this scheme for the step scaling method (with step size s = 2) in the search of conformal fixed point of SU(3) gauge theory with 12 massless flavors. Staggered fermion and plaquette gauge action are used in the lattice simulation with six different lattice sizes, L/a = 20, 16, 12, 10, 8 and 6. For the largest lattice size, L/a = 20, we used a large number of Graphics Processing Units (GPUs) and accumulated 3,000,000 trajectories in total. We found that the step scaling function sigma (u) is consistent with u in the low-energy region. This means the existence of conformal fixed point. Some details of our analysis and simulations will also be presented.
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