Domain wall fermion zero modes on classical topological backgrounds

Journal Article · Mon Mar 01 00:00:00 EST 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.59.054508· OSTI ID:306275

Chen, P; Christ, N; Fleming, G; Kaehler, A; Malureanu, C; Mawhinney, R; Sui, C; Vranas, P; Zhestkov, Y ^[1]

---

1. Physics Department, Columbia University, New York, New York 10027 (United States)

The domain wall approach to lattice fermions employs an additional dimension, in which gauge fields are merely replicated, to separate the chiral components of a Dirac fermion. It is known that, in the limit of infinite separation in this new dimension, domain wall fermions have exact zero modes, even for gauge fields which are not smooth. We explore the effects of finite extent in the fifth dimension on the zero modes for both smooth and nonsmooth topological configurations and find that a fifth dimension of around ten sites is sufficient to clearly show zero mode effects. This small value for the extent of the fifth dimension indicates the practical utility of this technique for numerical simulations of QCD. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 306275
• Journal Information: Physical Review, D, Vol. 59, Issue 5; Other Information: PBD: Mar 1999
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
QUANTUM CHROMODYNAMICS
TOPOLOGY
LATTICE FIELD THEORY
SYMMETRY BREAKING
GAUGE INVARIANCE
DIRAC OPERATORS
CHIRAL SYMMETRY