Fermion doubling and lattice artifacts in the energy spectrum of the Dirac propagator at finite temperature and chemical potential

Journal Article · Sat Jul 01 00:00:00 EDT 1995 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.52.332· OSTI ID:69233

Rothe, H J ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Heidelberg, Philosophenweg 16, D-69120 Heidelberg (Germany)

We study the Euclidean temporal structure of the lattice Dirac fermion propagator for naive fermions and show that excitations in the fourth component of the momentum associated with fermion doubling invalidate the usual correspondence between positive-negative eigenvalues of the Dirac Hamiltonian and forward-backward propagation in time. The doubler contributions to the propagator are pure lattice artifacts which do not scale in the continuum limit. The computations are carried out for finite temperature and chemical potential, and the results are compared with those obtained for Wilson fermions.

• OSTI ID: 69233
• Journal Information: Physical Review, D, Vol. 52, Issue 1; Other Information: PBD: 1 Jul 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
LATTICE FIELD THEORY
PROPAGATOR
ENERGY SPECTRA
DIRAC OPERATORS
FERMIONS
TEMPERATURE DEPENDENCE
EXCITATION
HAMILTONIANS
EIGENVALUES