Unexpected Results in the Chiral Limit with Staggered Fermions

Details Unexpected Results in the Chiral Limit with Staggered Fermions Unexpected Results in the Chiral Limit with Staggered Fermions

2002-03-19

arxiv.org/abs/hep-lat/0203020v2

Phys.Lett. B536 (2002) 72-78

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 6 figures, espcrc2.sty format (Misprint in the caption of Figure 5 corrected)

Scientific paper

10.1016/S0370-2693(02)01816-6

A cluster algorithm is constructed and applied to study the chiral limit of the strongly coupled lattice Schwinger model involving staggered fermions. The algorithm is based on a novel loop representation of the model. Finite size scaling of the chiral susceptibility based on data from lattices of size up to $64\times 64$ indicates the absence of long range correlations at strong couplings. Assuming that there is no phase transition at a weaker coupling, the results imply that all mesons acquire a mass at non-zero lattice spacings. Although this does not violate any known physics, it is surprising since typically one expects a single pion to remain massless at non-zero lattice spacings in the staggered fermion formulation.

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