name

Chulwoo Jung

refid

16311

email

chulwoo@physics.umd.edu

title

Residual chiral symmetry breaking in Domain-wall Fermions

collaboration

Valeriya Gadiyak/ University of Maryland
Xiangdong Ji/ University of Maryland

abstract

We study the effective quark mass induced by the finite separation of the
domain-walls in the domain-wall formulation of chiral fermions as the function
of the size of extra dimension ($L_s$), the gauge coupling $\beta$ and the
physical volume $V$. We measure the effective mass by calculating the small
eigenvalues of the hermitian domain-wall Dirac operator ($H_{DWF}$) in the
topologically-nontrivial quenched $SU(3)$ gauge configurations. We find that
the induced quark mass is nearly independent of the physical volume and is
exponentially small as a function of $L_s$ with an exponent strongly depending
on the physical coupling.

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