×

The Chiral Limit of Non-compact QED\(_3\). (English) Zbl 1097.81616

Summary: Non-compact QED\(_3\) with four-component fermion flavor content N\(_f \geq\) 2 is studied numerically near the chiral limit to understand its chiral symmetry breaking features. We monitor discretization and finite size effects on the chiral condensate by simulating the model at different values of the gauge coupling on lattices ranging in size from 10\(^3\) to 50\(^3\). Our upper bound for the dimensionless condensate \(\beta^2\langle\overline{\Psi}\psi\rangle\) in the N\(_f\) = 2 case is 5 \(\times\) 10\(^{-5}\).

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81T25 Quantum field theory on lattices

References:

[1] Appelquist, T. W.; Nash, D.; Wijewardhana, L. C.R., Phys. Rev. Lett., 60, 2575 (1988)
[2] Aitchison, I. J.R.; Mavromatos, N. E.; McNeill, D. O., Phys. Lett., B402, 154 (1997)
[3] Appelquist, T. W.; Cohen, A. G.; Schmaltz, M., Phys. Rev., D60 (1999), 045003
[4] Hands, S. J.; Kogut, J. B., Nucl. Phys., B335, 455 (1990)
[5] Azcoiti, V.; Luo, X.-Q., Mod. Phys. Lett., A8, 3635 (1993)
[6] Burden, C.; Burkitt, A. N., Europhys. Lett., 3, 545 (1987)
[7] Hands, S. J.; Kogut, J. B.; Strouthos, C. G., Non-compact \(QED_3\) with\(N_f\) ≥ 2 · Zbl 0999.81545
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.