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Related papers: FLIC Overlap Fermions

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The action of the overlap-Dirac operator on a vector is typically implemented in directly through a multi-shift conjugate gradient solver. The compute-time this takes to evaluate depends upon the condition number $\kappa$ of the matrix that…

High Energy Physics - Lattice · Physics 2010-03-04 W. Kamleh , D. Adams , D. B. Leinweber , A. G. Williams

FLIC overlap fermions are a variant of the standard (Wilson) overlap action, with the FLIC (Fat Link Irrelevant Clover) action as the overlap kernel rather than the Wilson action. The structure of the FLIC overlap fermion propagator in…

High Energy Physics - Lattice · Physics 2010-03-04 Waseem Kamleh , Patrick O. Bowman , Derek B. Leinweber , Anthony G. Williams , Jianbo Zhang

APE smearing the links in the irrelevant operators of clover fermions (Fat-Link Irrelevant Clover (FLIC) fermions) provides significant improvement in the condition number of the Hermitian-Dirac operator and gives rise to a factor of two…

High Energy Physics - Lattice · Physics 2010-03-04 W. Kamleh , D. J. Kusterer , D. B. Leinweber , A. G. Williams

Numerical evaluation of the overlap Dirac operator is difficult since it contains the sign function $\epsilon(H_w)$ of the Hermitian Wilson-Dirac operator $H_w$ with a negative mass term. The problems are due to $H_w$ having very small…

High Energy Physics - Lattice · Physics 2016-09-01 W. Kamleh , D. Adams , D. B. Leinweber , A. G. Williams

The Fat Link Irrelevant Clover (FLIC) fermion action is a variant of the $O(a)$-improved Wilson action where the irrelevant operators are constructed using smeared links. While the use of such smearing allows for the use of highly improved…

High Energy Physics - Lattice · Physics 2008-11-26 Waseem Kamleh , Ben Lasscock , Derek B. Leinweber , Anthony G. Williams

The majority of compute time doing lattice QCD is spent inverting the fermion matrix. The time that this takes increases with the condition number of the matrix. The FLIC(Fat Link Irrelevant Clover) action displays, among other properties,…

High Energy Physics - Lattice · Physics 2015-06-25 Waseem Kamleh

The chiral properties of the fat-link irrelevant clover (FLIC) fermion action are examined. The improved chiral properties of fermion actions incorporating smoothed links are realized in the FLIC action where only the irrelevant operators…

High Energy Physics - Lattice · Physics 2010-03-04 Sharada Boinepalli , Waseem Kamleh , Derek B. Leinweber , Anthony G. Williams , James M. Zanotti

A pedagogical overview of the formulation of the Fat Link Irrelevant Clover (FLIC) fermion action and its associated phenomenology is described. The scaling analysis indicates FLIC fermions provide a new form of nonperturbative O(a)…

Hadron masses are calculated in quenched lattice QCD on a variety of lattices in order to probe the scaling behavior of the Fat-Link Irrelevant Clover (FLIC) fermion action, a fat-link clover fermion action in which the purely irrelevant…

High Energy Physics - Lattice · Physics 2010-03-04 J. M. Zanotti , B. Lasscock , D. B. Leinweber , A. G. Williams

The Overlap-Dirac operator provides a lattice regularization of massless vector gauge theories with an exact chiral symmetry. Practical implementations of this operator and recent results in quenched QCD using this Overlap-Dirac operator…

High Energy Physics - Lattice · Physics 2007-05-23 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

The Fat-Link Irrelevant Clover (FLIC) fermion action provides a new form of nonperturbative O(a)-improvement in lattice fermion actions offering near continuum results at finite lattice spacing. It provides computationally inexpensive…

High Energy Physics - Lattice · Physics 2010-03-04 J. M. Zanotti , D. B. Leinweber , W. Melnitchouk , A. G. Williams , J. B. Zhang

We present simulation results for the 2-flavour Schwinger model with dynamical Ginsparg-Wilson fermions. Our Dirac operator is constructed by inserting an approximately chiral hypercube operator into the overlap formula, which yields the…

High Energy Physics - Lattice · Physics 2008-11-26 Jan Volkholz , Wolfgang Bietenholz , Stanislav Shcheredin

We use a continued fraction expansion of the sign-function in order to obtain a five dimensional formulation of the overlap lattice Dirac operator. Within this formulation the inverse of the overlap operator can be calculated by a single…

High Energy Physics - Lattice · Physics 2015-06-25 A. Borici , A. D. Kennedy , B. J. Pendleton , U. Wenger

This paper reviews the most popular methods which are used in lattice QCD to compute the determinant of the lattice Dirac operator: Gaussian integral representation and noisy methods. Both of them lead naturally to matrix function problems.…

High Energy Physics - Lattice · Physics 2007-05-23 Artan Borici

I show how to avoid a two level nested conjugate gradient procedure in the context of Hybrid Monte Carlo with the overlap fermionic action. The resulting procedure is quite similar to Hybrid Monte Carlo with domain wall fermions, but is…

High Energy Physics - Lattice · Physics 2016-08-25 Herbert Neuberger

The fermionic determinant of a lattice Dirac operator that obeys the Ginsparg-Wilson relation factorizes into two factors that are complex conjugate of each other. Each factor is naturally associated with a single chiral fermion and can be…

High Energy Physics - Lattice · Physics 2008-11-26 Rajamani Narayanan

We construct new Ginsparg-Wilson fermions for QCD by inserting an approximately chiral Dirac operator - which involves ingredients of a perfect action - into the overlap formula. This accelerates the convergence of the overlap Dirac…

High Energy Physics - Lattice · Physics 2010-04-05 W. Bietenholz

We present numerical results for the 2-flavour Schwinger model with dynamical chiral lattice fermions. We insert an approximately chiral hypercube Dirac operator into the overlap formula to construct the overlap hypercube operator. This is…

High Energy Physics - Lattice · Physics 2012-04-26 Wolfgang Bietenholz , Ivan Hip , Stanislav Shcheredin , Jan Volkholz

In this talk I propose a new computational scheme with overlap fermions and a fast algorithm to invert the corresponding Dirac operator.

High Energy Physics - Lattice · Physics 2015-06-25 A. Borici

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…

High Energy Physics - Lattice · Physics 2008-11-26 C. D. Fosco , G. Torroba , H. Neuberger
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