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Related papers: First dynamical simulations with minimally doubled…

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We present results from simulations of two flavors of dynamical overlap fermions on 8^4 lattices at three values of the sea quark mass and a lattice spacing of about 0.16 fm. We measure the topological susceptibility and the chiral…

High Energy Physics - Lattice · Physics 2009-11-11 Thomas DeGrand , Stefan Schaefer

We have investigated QCD with two flavors of degenerate fermions using a Symanzik-improved lattice action for both the gauge and fermion actions. Our study focuses on the deconfinement transition on an $N_t=4$ lattice. Having located the…

We address the locality problem arising in simulations, which take the square root of the staggered fermion determinant as a Boltzmann weight to reduce the number of dynamical quark tastes from four to two. We study analytically and…

High Energy Physics - Lattice · Physics 2009-11-10 B. Bunk , M. Della Morte , K. Jansen , F. Knechtli

Representing massless Dirac fermions on a spatial lattice poses a potential challenge known as the Fermion Doubling problem. Addition of a quadratic term to the Dirac Hamiltonian circumvents this problem. We show that the modified…

Mesoscale and Nanoscale Physics · Physics 2015-09-15 K. M. Masum Habib , Redwan N. Sajjad , Avik W. Ghosh

Simulations for the thermodynamics of the 2+1 flavor QCD are performed employing chiral fermions. The use of M\"obius domain-wall fermions with stout-link smearing is more effective on the finer lattices where all the relevant chiral…

High Energy Physics - Lattice · Physics 2021-12-23 Sinya Aoki , Yasumichi Aoki , Hidenori Fukaya , Shoji Hashimoto , Issaku Kanamori , Takashi Kaneko , Yoshifumi Nakamura

Based on recent work by Adams, I construct a lattice fermion operator that fully lifts the staggered flavor degeneracy. The resulting operator is of Wilson type but smaller by a factor of 4, better conditioned and contains 3 instead of 15…

High Energy Physics - Lattice · Physics 2011-01-31 Christian Hoelbling

Single fermionic degrees of freedom together with standard chiral symmetry at finite lattice spacing, correct continuum limit and local interactions only are precluded by the Nielsen-Ninomiya no-go theorem. The class of minimally doubled…

High Energy Physics - Lattice · Physics 2010-11-05 Stefano Capitani , Johannes Weber , Hartmut Wittig

We review the recent progress in new lattice fermion formulations. We focus on the following three types which have possibility of improving lattice simulations. (1) Flavored-mass fermions are a generalization of Wilson fermions with…

High Energy Physics - Lattice · Physics 2012-12-21 Tatsuhiro Misumi

We discuss possible definitions of discrete Dirac operators, and discuss their continuum limits. It is well-known in the lattice field theory that the straightforward discretization of the Dirac operator introduces unwanted spectral…

Mathematical Physics · Physics 2023-08-17 Shu Nakamura

Considering Ginsparg-Wilson type fermions dynamically in lattice QCD simulations is a challenging task. The hope is to be able to approach smaller pion masses and to eventually reach physical situations. The price to pay is substantially…

High Energy Physics - Lattice · Physics 2009-11-11 C. B. Lang , Pushan Majumdar , Wolfgang Ortner

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density. We consider the Karsten-Wilczek fermion formulation, in which a species-dependent imaginary chemical potential term can reduce the…

High Energy Physics - Lattice · Physics 2012-11-08 Tatsuhiro Misumi , Taro Kimura , Akira Ohnishi

We use the two-dimensional Schwinger model to investigate how lattice fermions perceive the global topological charge $q\in\mathbf{Z}$ of a given gauge background $U$. After a warm-up part devoted to staggered, Adams, Wilson and naive…

High Energy Physics - Lattice · Physics 2021-08-27 Stephan Durr , Johannes H. Weber

As one test of the validity of the staggered-fermion fourth-root determinant trick, we examine the suppression of the topological susceptibility of the QCD vacuum in the limit of small quark mass. The suppression is sensitive to the number…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , Brian Billeter , C. DeTar , Steven Gottlieb , E. Gregory , U. M. Heller , J. E. Hetrick , J. Osborn , R. L. Sugar , D. Toussaint

We simulate two dynamical, mass degenerate light quarks on 16^3x32 lattices with a spatial extent of 2.4 fm using the Chirally Improved Dirac operator. The simulation method, the implementation of the action and signals of equilibration are…

High Energy Physics - Lattice · Physics 2009-11-06 Christof Gattringer , Christian Hagen , C. B. Lang , Markus Limmer , Daniel Mohler , Andreas Schäfer

We perform numerical simulations of lattice QCD with two flavors of dynamical overlap quarks, which have exact chiral symmetry on the lattice. While this fermion discretization is computationally demanding, we demonstrate the feasibility to…

We present a new staggered discretization of the Dirac operator. Doubling gives only a doublet of Dirac fermions which we propose to interpret as a physical (lepton or quark) doublet. If coupled with gauge fields, an $(1+\gamma^5)$ chiral…

High Energy Physics - Lattice · Physics 2009-12-09 I. Schmelzer

Staggered fermions with smeared links can have greatly improved chiral properties. In a recent paper we introduced a simple and effective method to simulate four flavors of staggered smeared link fermions. In this work we extend the four…

High Energy Physics - Lattice · Physics 2007-05-23 Anna Hasenfratz , Francesco Knechtli

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density by applying the Karsten-Wilczek lattice fermion, in which a species-dependent imaginary chemical potential can reduce the number of…

High Energy Physics - Lattice · Physics 2012-12-21 Taro Kimura , Tatsuhiro Misumi , Akira Ohnishi

Lattice regularization of chiral fermions is an important development of the theory of elementary particles. Nontheless, brute force computer simulations are very expensive, if not prohibitive. In this letter I exploit the non-interacting…

High Energy Physics - Lattice · Physics 2009-10-31 Artan Borici

The R algorithm is widely used for simulating two flavours of dynamical staggered fermions. We give a simple proof that the algorithm converges to the desired probability distribution to within O(dt^2) errors, but show that the relevant…

High Energy Physics - Lattice · Physics 2009-11-07 M. A. Clark , B. Joo , A. D. Kennedy