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} = 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 (TJNAF), Newport News, VA (United States)
- 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; TRN: US0100695
- Resource Relation:
- Conference: 18th International Symposium On Lattice Field Theory (Lattice 2000), Bangalore (IN), 08/17/2000--08/22/2000; Other Information: PBD: 1 Aug 2000
- Country of Publication:
- United States
- Language:
- English
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