Lattice Study of the Massive Schwinger Model with $θ$ Term under Lüscher's "Admissibility" Condition

Details Lattice Study of the Massive Schwinger Model with $θ$ Term under Lüscher's "Admissibility" Condition Lattice Study of the Massive Schwinger Model with $θ$ Term under Lüscher's "Admissibility" Condition

2003-05-06

arxiv.org/abs/hep-lat/0305004v2

Phys.Rev. D68 (2003) 074503

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, REVTeX4, 21 figures

Scientific paper

10.1103/PhysRevD.68.074503

L\"uscher's ``admissibility'' condition on the gauge field space plays an essential role in constructing lattice gauge theories which has exact chiral symmetries. We apply the gauge action proposed by L\"uscher with the domain-wall fermion action to the numerical simulation of the massive Schwinger model. We find this action can generate configurations in each topological sector separately without any topology changes. By developing a new method to sum over different topological sectors, we calculate meson masses in nonzero-$\theta$ vacuum.

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