Determinant of twisted chiral Dirac Operator on the Lattice

Abstract

Using the overlap formulation, we calculate the fermionic determinant on the lattice for chiral fermions with twisted boundary conditions in two dimensions. When the lattice spacing tends to zero we recover the results of the usual string-theory continuum calculations.

9 pages, no figures. Error in the derivation of the non-holomorphic piece corrected

References in corpus (6)

• A Method for Simulating Chiral Fermions on the Lattice
• A construction of lattice chiral gauge theories
• Chiral Determinant as an Overlap of Two Vacua
• Chiral Fermions on the Lattice
• On the overlap formulation of chiral gauge theory
• Two dimensional twisted chiral fermions on the lattice

Cited by in corpus (11)

• Interactions involving D-branes
• On the Overlap Prescription for Lattice Regularization of Chiral Fermions
• Finite size corrections in two dimensional gauge theories and a quantitative chiral test of the overlap
• Anomaly free U(1) chiral gauge theories on a two dimensional torus
• SU(N) Wigner-Racah algebra for the matrix of second moments of embedded Gaussian unitary ensemble of random matrices
• Translational Anomaly in Chiral Gauge Theories on a Torus and the Overlap Formalism
• Fermion theories on a 2d torus with Wilson action improved by Pauli -- Villars regularization
• Progress in lattice chiral gauge theories
• Chiral zero modes on the domain-wall model in 4+1 dimensions
• Nonlocal lattice fermion models on the 2d torus
• Tunneling between fermionic vacua and the overlap formalism