Lattice Study of the Massive Schwinger Model with a $θ$ term under Lüscher's "Admissibility" condition

Details Lattice Study of the Massive Schwinger Model with a $θ$ term under Lüscher's "Admissibility" condition Lattice Study of the Massive Schwinger Model with a $θ$ term under Lüscher's "Admissibility" condition

2003-09-16

arxiv.org/abs/hep-lat/0309104v2

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Lattice2003(chiral)

Scientific paper

10.1016/S0920-5632(03)02616-1

We present a numerical study of the massive two-flavor QED in two dimensions with the gauge action proposed by L\"uscher, which allows only ``admissible'' gauge fields. We find that the admissibility condition does not allow any topology changes by the local updation in Hybrid Monte Carlo algorithm so that the configurations in each topological sector can be generated separately. By developing a new method to sum over different topological sectors, we investigate $\theta$ vacuum effects. Combining with domain-wall fermion action, we obtain the fermion mass dependence and $\theta$ dependence of the meson masses, which are consistent with the analytic results by mass perturbation in the continuum theory.

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