TY - JOUR
T1 - Divergent chiral condensate in the quenched Schwinger model
AU - Damgaard, Poul H.
AU - Heller, Urs M.
AU - Narayanan, Rajamani
AU - Svetitsky, Benjamin
PY - 2005/6/1
Y1 - 2005/6/1
N2 - We calculate numerically the eigenvalue distribution of the overlap Dirac operator in the quenched Schwinger model on a lattice. The distribution does not fit any of the three universality classes of spontaneous chiral-symmetry breaking, and its strong volume dependence indicates that the chiral condensate in the quenched theory is an ill-defined and divergent quantity. When we reweight configurations with the Dirac determinant to study the theory with Nf=1, we obtain a distribution of eigenvalues that is well-behaved and consistent with the theory of explicit symmetry breaking due to the anomaly.
AB - We calculate numerically the eigenvalue distribution of the overlap Dirac operator in the quenched Schwinger model on a lattice. The distribution does not fit any of the three universality classes of spontaneous chiral-symmetry breaking, and its strong volume dependence indicates that the chiral condensate in the quenched theory is an ill-defined and divergent quantity. When we reweight configurations with the Dirac determinant to study the theory with Nf=1, we obtain a distribution of eigenvalues that is well-behaved and consistent with the theory of explicit symmetry breaking due to the anomaly.
UR - http://www.scopus.com/inward/record.url?scp=33644504570&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.71.114503
DO - 10.1103/PhysRevD.71.114503
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AN - SCOPUS:33644504570
SN - 1550-7998
VL - 71
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 11
M1 - 114503
ER -