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Residual chiral symmetry breaking in domain-wall fermions

Journal Article · · Physical Review D
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, Journal Name: Physical Review D Journal Issue: 5 Vol. 63; ISSN 0556-2821
Publisher:
The American Physical Society
Country of Publication:
United States
Language:
English

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