Monopole percolation and the universality class of the chiral transition in four flavor noncompact lattice QED
Sep, 199226 pages
Published in:
- Nucl.Phys.B 398 (1993) 405-424
e-Print:
- hep-lat/9209009 [hep-lat]
Report number:
- ILL-TH-92-17,
- CERN-TH-6618-92
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Abstract:
We simulate four flavor noncompact lattice QED using the Hybrid Monte Carlo algorithm on and lattices. Measurements of the monopole susceptibility and the percolation order parameter indicate a transition at with critical behavior in the universality class of four dimensional percolation. We present accurate chiral condensate measurements and monitor finite size effects carefully. The chiral condensate data supports the existence of a power-law transition at in the same universality class as the chiral transition in the two flavor model. The resulting equation of state predicts the mass ratio in good agreement with spectrum calculations while the hypothesis of a logarithmically improved mean field theory fails qualitatively.- quantum electrodynamics: noncompact
- fermion: lattice field theory
- flavor: 4
- critical phenomena: chiral
- fermion: condensation
- field theory: monopole
- mean field approximation
- universality
- effect: finite size
- numerical calculations: Monte Carlo
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