Residual chiral symmetry breaking in domain-wall fermions
We study the effective quark mass induced by the finite separation of the domain walls in the domain-wall formulation of chiral fermion as the function of the size of the fifth dimension (L{sub s}), the gauge coupling {beta} and the physical volume V. We measure the mass by calculating the small eigenvalues of the Hermitian domain-wall Dirac operator [H{sub DWF}(m{sub 0})] in the topologically-nontrivial quenched SU(3) gauge configurations. We find that the induced quark mass is nearly independent of the physical volume, decays exponentially as a function of L{sub s}, and has a strong dependence on the size of quantum fluctuations controlled by {beta}. The effect of the choice of the lattice gluon action is also studied.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40205058
- Journal Information:
- Physical Review D, Vol. 63, Issue 5; Other Information: DOI: 10.1103/PhysRevD.63.054509; Othernumber: PRVDAQ000063000005054509000001; 071105PRD; PBD: 1 Mar 2001; ISSN 0556-2821
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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