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LATTICE QCD WITH GINSPARG-WILSON FERMIONS

Publication ,  Journal Article
Chandrasekharan, S
Published in: Phys. Rev. D
1999

Lattice QCD using fermions whose Dirac operator obeys the Ginsparg-Wilson relation, is perhaps the best known formulation of QCD with a finite cutoff. It reproduces all the low energy QCD phenomenology associated with chiral symmetry at finite lattice spacings. In particular it explains the origin of massless pions due to spontaneous chiral symmetry breaking and leads to new ways to approach the U(1) problem on the lattice. Here we show these results in the path integral formulation and derive for the first time in lattice QCD a known formal continuum relation between the chiral condensate and the topological susceptibility. This relation leads to predictions for the critical behavior of the topological susceptibility near the phase transition and can now be checked in Monte-Carlo simulations even at finite lattice spacings.

Duke Scholars

Published In

Phys. Rev. D

Publication Date

1999

Volume

60

Start / End Page

074503

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5101 Astronomical sciences
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
 

Citation

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MLA
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Chandrasekharan, S. (1999). LATTICE QCD WITH GINSPARG-WILSON FERMIONS. Phys. Rev. D, 60, 074503.
Chandrasekharan, S. “LATTICE QCD WITH GINSPARG-WILSON FERMIONS.” Phys. Rev. D 60 (1999): 074503.
Chandrasekharan S. LATTICE QCD WITH GINSPARG-WILSON FERMIONS. Phys Rev D. 1999;60:074503.
Chandrasekharan, S. “LATTICE QCD WITH GINSPARG-WILSON FERMIONS.” Phys. Rev. D, vol. 60, 1999, p. 074503.
Chandrasekharan S. LATTICE QCD WITH GINSPARG-WILSON FERMIONS. Phys Rev D. 1999;60:074503.

Published In

Phys. Rev. D

Publication Date

1999

Volume

60

Start / End Page

074503

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5101 Astronomical sciences
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences