Ginsparg-Wilson fermions: A study in the Schwinger model

Journal Article · Sat May 01 00:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.59.094502· OSTI ID:336723

Chandrasekharan, S ^[1]

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1. Department of Physics, Box 90305, Duke University, Durham, North Carolina 27708-0305 (United States)

The qualitative features of Ginsparg-Wilson fermions, as formulated by Neuberger, coupled to two-dimensional U(1) gauge theory are studied. The role of the Wilson mass parameter in changing the number of massless flavors in the theory and its connection with the index of the Dirac operator is studied. Although the index of the Dirac operator is not related to the geometric definition of the topological charge for strong couplings, the two start to agree as soon as one goes to moderately weak couplings. This produces the desired singularity in the quenched chiral condensate which appears to be very difficult to reproduce with staggered fermions. The fermion determinant removes the singularity and reproduces the known chiral condensate and the meson mass within understandable errors. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 336723
• Journal Information: Physical Review, D, Vol. 59, Issue 9; Other Information: PBD: May 1999
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
LATTICE FIELD THEORY
QUANTUM CHROMODYNAMICS
U-1 GROUPS
GAUGE INVARIANCE
TOPOLOGY
CHIRAL SYMMETRY
DIRAC OPERATORS
REST MASS
FERMIONS