One-loop analyses of lattice QCD with the overlap Dirac operator

Ishibashi, Masato; Kikukawa, Yoshio; Noguchi, Taro; Yamada, Atsushi

doi:10.1016/s0550-3213(00)00186-3

Cited by 22 publications

(18 citation statements)

References 22 publications

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“…Both the linear and quadratic terms in the expansion are consistent with the ones found in [55], the precise map being D this paper…”

Section: A More Fun With Chiral Polarization Operatorssupporting

confidence: 80%

Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions

Poppitz¹,

Shang²

2009

J. High Energy Phys.

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We study 't Hooft anomaly matching in lattice models with strong Yukawa or multi-fermion interactions. Strong non-gauge interactions among the mirror fermions in a vectorlike lattice gauge theory are introduced with the aim to obtain, in a strong-coupling symmetric phase, a long-distance unbroken gauge theory with chiral fermions in a complex representation. We show how to use exact lattice chirality to analyze the anomaly matching conditions on chiral symmetry current correlators at finite lattice spacing and volume. We perform a Monte Carlo study of the realization of anomaly matching in a toy two-dimensional model with an anomalous mirror-fermion content at strong mirror Yukawa coupling. We show that 't Hooft anomaly matching is satisfied, in most of the phase diagram, via the minimal solution in either the massless fermion or "Goldstone" mode, while in some cases there are extra massless vectorlike mirror fermions. The mirror spectrum at strong coupling is thus consistent with long-distance unitarity. We discuss the implications of our results for future studies of the most interesting case of the decoupling of anomaly-free mirror-fermion sectors.

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“…Both the linear and quadratic terms in the expansion are consistent with the ones found in [55], the precise map being D this paper…”

Section: A More Fun With Chiral Polarization Operatorssupporting

confidence: 80%

Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions

Poppitz¹,

Shang²

2009

J. High Energy Phys.

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“…20 is expanded for small d, D ≃ d. Feynman rules for the Wilson overlap action have been given by Ref. [7], and can be straightforwardly be adapted for any kernel action. For overlap actions, it is customary to define the massive overlap operator in terms of the massless one.…”

Section: B Actions and Feynman Rulesmentioning

confidence: 99%

One loop matching coefficients for a variant overlap action and some of its simpler relatives

DeGrand

2003

Phys. Rev. D

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I present one-loop perturbative calculations of matching coefficients between matrix elements in continuum regulated QCD and lattice QCD with overlap fermions, with emphasis a recentlyproposed variant discretization of the overlap. These fermions have extended ("fat link") gauge connections. The scale for evaluation of the running coupling constant (in the context of the LepageMackenzie fixing scheme) is also given. A variety of results (for additive mass renormalization, local currents, and some non-penguin four-fermion operators) for naive, Wilson, clover, and overlap actions are shown.

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“…Perturbative computations are much more cumbersome than in the case of Wilson fermions, due to the more complicated structure of the Neuberger-Dirac operator [28][29][30]. One-loop calculations are already quite complicated, and require the use of symbolic manipulation packages.…”

Section: Introductionmentioning

confidence: 99%

One-loop renormalization of fermionic currents with the overlap-Dirac operator

Alexandrou¹,

Follana²,

Panagopoulos³

et al. 2000

Nuclear Physics B

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We compute the one-loop lattice renormalization of the two-quark operators <(psi)over bar>Gamma psi, where Gamma denotes the generic Dime matrix, for the lattice formulation of QCD using the overlap-Dirac operator. We also study the renormalization of quark bilinears which are more extended and have better chiral properties. Finally. we present improved estimates of these renormalization constants, coming from cactus resummation and from mean field perturbation theory. (C) 2000 Elsevier Science B.V. All rights reserved

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One-loop analyses of lattice QCD with the overlap Dirac operator

Cited by 22 publications

References 22 publications

Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions

Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions

One loop matching coefficients for a variant overlap action and some of its simpler relatives

One-loop renormalization of fermionic currents with the overlap-Dirac operator

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