Lattice study of conformal behavior in SU(3) Yang-Mills theories

  title={Lattice study of conformal behavior in SU(3) Yang-Mills theories},
  author={T. Appelquist and G. Fleming and E. Neil},
  journal={Physical Review D},
Using lattice simulations, we study the extent of the conformal window for an SU(3) gauge theory with N{sub f} Dirac fermions in the fundamental representation. We extend our recently reported work, describing the general framework and the lattice simulations in more detail. We find that the theory is conformal in the infrared for N{sub f}=12, governed by an infrared fixed point, whereas the N{sub f}=8 theory exhibits confinement and chiral symmetry breaking. We therefore conclude that the low… Expand

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  • 059
  • 2008
  • 024
  • 1999
  • Rev. D58, 105017
  • 1998
  • Phys. B504, 435
  • 1997
  • Rev. D69, 014507
  • 2004
  • Phys. B384, 168
  • 1992
  • 007
  • 2008