Finite Size, Fermion Mass and (f) Systematics in Computer Simulations of Quantum Electrodynamics
Jul, 198915 pages
Published in:
- Nucl.Phys.B 331 (1990) 500-514
- Published: 1990
Report number:
- ILL-TH-89-34,
- NSF-ITP-89-122
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Abstract: (Elsevier)
Non-compact Quantum Electrodynamics (QED) with zero or two species of fermions ( N f = 0.2) is simulated on a 10 4 lattice with high statistics. Three bare fermion masses (0.04, 0.03 and 0.02) are considered to study the chiral limit of the condensate 〈 ψ ψ〉 by various extrapolation methods. 〈 ψ ψ〉 is found to be sensitive to the extrapolation method in both cases, but the N f = 0 and 2 systematics are very similar. The N f = 2 theory is simulated by the hybrid algorithm while the N f = 0 case is studied by generating independent gauge configurations populating momentum space with photons appropriately. These results are contrasted with N f = 8 simulations which indicate that this theory is free. The systematics of the N f = 4 theory in three dimensions and the SU(2) theory with N f = 4 in four dimensions are also discussed and compared to the N f = 0 and 2 simulations presented here. We discuss the progress in simulating QED with N f = 2 on a dedicated array processor.- quantum electrodynamics
- dimension: 4
- dimension: 3
- gauge field theory: U(1)
- gauge field theory: SU(2)
- fermion: mass
- fermion: condensation
- fermion: flavor
- effect: finite size
- numerical calculations: Monte Carlo
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