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Residual Chiral Symmetry Breaking in Domain-Wall Fermions

Conference ·
OSTI ID:773284
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} = 1.8)) 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.
Research Organization:
Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
Sponsoring Organization:
USDOE Office of Energy Research (ER) (US)
DOE Contract Number:
AC05-84ER40150
OSTI ID:
773284
Report Number(s):
JLAB-THY-00-40; DOE/ER/40150-1791; hep-lat/0010094; UMD PP No. 01-003
Country of Publication:
United States
Language:
English

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