TY - JOUR

T1 - A simple derivation of the overlap Dirac operator

AU - Fosco, C. D.

AU - Torroba, G.

AU - Neuberger, Herbert

N1 - Funding Information:
C.D.F. acknowledges support by ANPCyT and CONICET, under grants PICT 17-20434 and PIP 5231, respectively. G.T. is supported as a Research Assistant in the Rutgers Department of Physics. H.N. acknowledges partial support by the DOE under grant number DE-FG02-01ER41165 at Rutgers University.

PY - 2007/7/12

Y1 - 2007/7/12

N2 - We derive the vector-like four-dimensional overlap Dirac operator starting from a five-dimensional Dirac action in the presence of a delta-function space-time defect. The effective operator is obtained by first integrating out all the fermionic modes in the fixed gauge background, and then identifying the contribution from the localized modes as the determinant of an operator in one dimension less. We define physically relevant degrees of freedom on the defect by introducing an auxiliary defect-bound fermion field and integrating out the original five-dimensional bulk fields.

AB - We derive the vector-like four-dimensional overlap Dirac operator starting from a five-dimensional Dirac action in the presence of a delta-function space-time defect. The effective operator is obtained by first integrating out all the fermionic modes in the fixed gauge background, and then identifying the contribution from the localized modes as the determinant of an operator in one dimension less. We define physically relevant degrees of freedom on the defect by introducing an auxiliary defect-bound fermion field and integrating out the original five-dimensional bulk fields.

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U2 - 10.1016/j.physletb.2007.05.045

DO - 10.1016/j.physletb.2007.05.045

M3 - Article

AN - SCOPUS:34250795000

VL - 650

SP - 428

EP - 431

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 5-6

ER -