Recent results using the overlap Dirac operator

@article{Narayanan2000RecentRU,
  title={Recent results using the overlap Dirac operator},
  author={Rajamani Narayanan},
  journal={arXiv: High Energy Physics - Lattice},
  year={2000}
}
  • R. Narayanan
  • Published 2 November 2000
  • Physics
  • arXiv: High Energy Physics - Lattice
I derive the overlap Dirac operator starting from the overlap formalism, discuss the numerical hurdles in dealing with this operator and present ways to overcome them. 

References

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A numerical investigation of the quenched Schwinger model on the lattice using the overlap Dirac operator points to a divergent chiral condensate.

Study of chiral symmetry in quenched QCD using the overlap Dirac operator

We compute fermionic observables relevant to the study of chiral symmetry in quenched QCD using the overlap Dirac operator for a wide range of fermion mass. We use analytical results to disentangle

A practical implementation of the Overlap-Dirac operator

A practical implementation of the overlap Dirac operator [1+{gamma}{sub 5}{epsilon}(H) ]/2 is presented. The implementation exploits the sparseness of H and does not require full storage. A simple

Alternative to domain wall fermions

We define a sparse Hermitian lattice Dirac matrix H coupling 2n+1 Dirac fermions. When 2n fermions are integrated out the induced action for the last fermion is a rational approximation to the

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The authors compute the low lying spectrum of the overlap Dirac operator in the deconfined phase of finite-temperature quenched gauge theory. It suggests the existence of a chiral condensate which