The Phase Diagrams of the Schwinger and Gross-Neveu Models with Wilson Fermions

Details The Phase Diagrams of the Schwinger and Gross-Neveu Models with Wilson Fermions The Phase Diagrams of the Schwinger and Gross-Neveu Models with Wilson Fermions

1999-09-28

arxiv.org/abs/hep-lat/9909161v1

Nucl.Phys.Proc.Suppl. 83 (2000) 667-669

Physics

High Energy Physics

High Energy Physics - Lattice

Talk at LATTICE99, 3 pages, 2 figures

Scientific paper

A new method to analytically determine the partition function zeroes of weakly coupled theories on finite-size lattices is developed. Applied to the lattice Schwinger model, this reveals the possible absence of a phase transition at fixed weak coupling. We show how finite-size scaling techniques on small or moderate lattice sizes may mimic the presence of a spurious phase transition. Application of our method to the Gross-Neveu model yields a phase diagram consistent with that coming from a saddle point analysis.

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