• Corpus ID: 14471805

On the continuum limit of the lattice chiral anomaly trace relation

  title={On the continuum limit of the lattice chiral anomaly trace relation},
  author={Emilio Elizalde},
  journal={arXiv: High Energy Physics - Lattice},
  • E. Elizalde
  • Published 29 June 1999
  • Mathematics
  • arXiv: High Energy Physics - Lattice
Different aspects concerning the rigorous definition of the traces and determinants of the operators involved in a procedure ---proposed by Neuberger and others--- for avoiding fermion doublers on the lattice, are considered. A result of the analysis is that it seems unclear that the consequences derived from the independent treatment of the traces of the two operators contributing to the index relation on the lattice, as carried out in recent manuscripts, can be given rigorous mathematical… 



A continuum limit of the chiral Jacobian in lattice gauge theory

Relation Tr γ 5 = 0 and the index theorem in lattice gauge theory

The relation Tr5 = 0 implies the contribution to the trace from unphysical (would-be) species doublers in lattice gauge theory. This statement is also true for the Pauli-Villars regularization in

Fermion determinant and chiral anomaly on a finite lattice

The fermion determinant and the chiral anomaly of lattice Dirac operator D on a finite lattice are investigated. The condition for D to reproduce correct chiral anomaly at each site of a finite

Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator

The chiral Jacobian, which is defined with Neuberger’s overlap Dirac operator of the lattice fermion, is explicitly evaluated in the continuum limit without expanding it in the gauge coupling

Ten Physical Applications of Spectral Zeta Functions

Introduction and Outlook.- Mathematical Formulas Involving the Different Zeta Functions.- A Treatment of the Non-Polynomial Contributions: Application to Calculate Partition Functions of Strings and

Overlap lattice Dirac operator and dynamical fermions

I show how to avoid a two level nested conjugate gradient procedure in the context of a hybrid Monte Carlo algorithm with the overlap fermionic action. The resulting procedure is quite similar to a

Is the multiplicative anomaly dependent on the regularization

In a recent work, T.S. Evans has claimed that the multiplicative anomaly associated with the zeta-function regularization of functional determinants is regularization dependent. We show that, if one

On the relevance of the multiplicative anomaly

We shed doubt on a commonly used manipulation in computing the partition function for a matrix valued operator together with its attendant invocation of the multiplicative anomaly.