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Related papers: Staggered fermions, zero modes, and flavor-singlet…

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We investigate and clarify the role of topology and the issues surrounding the epsilon regime for staggered quarks. We study unimproved and improved staggered quark Dirac operators on quenched lattice QCD gluon backgrounds generated using a…

High Energy Physics - Lattice · Physics 2009-11-11 E. Follana , A. Hart , C. T. H. Davies , Q. Mason

We report on studies of simple matrix elements from simulations with two flavors of sea quarks, both staggered and Wilson. We show the decay constants of vector and pseudoscalar mesons. The effects of sea quarks are small. These simulations…

High Energy Physics - Lattice · Physics 2015-06-25 The High Energy Monte Carlo Grand Challenge

We investigate the effects of low-lying fermion eigenmodes on the QCD partition function in the $\epsilon$-regime. The fermion determinant is approximated by a truncated product of low-lying eigenvalues of the overlap-Dirac operator. With…

High Energy Physics - Lattice · Physics 2009-11-11 Kenji Ogawa , Shoji Hashimoto

We report on our study of flavor-singlet mesons in three-flavor QCD with dynamical overlap quarks. Gauge ensembles are generated on a 16^3 x 48 lattice at a lattice spacing of 0.10 fm with the strange quark masses around its physical value…

High Energy Physics - Lattice · Physics 2012-08-27 JLQCD , TWQCD collaborations , : , T. Kaneko , S. Aoki , T. W. Chiu , H. Fukaya , S. Hashimoto , T. H. Hsieh , J. Noaki , E. Shintani , N. Yamada

We measure the low lying eigenmodes of an overlap Dirac operator on 2--flavor staggered configurations. By comparing the eigenmode distribution to the predictions of Random Matrix Theory we test to what accuracy staggered configurations…

High Energy Physics - Lattice · Physics 2008-11-26 Anna Hasenfratz , Roland Hoffmann

Minimally doubled fermions realize one degenerate pair of Dirac fermions on the lattice. Similarities to staggered fermions exist, namely, spin and taste degrees of freedom become intertwined, and a remnant, non-singlet chiral symmetry and…

High Energy Physics - Lattice · Physics 2024-01-19 Johannes H. Weber

I discuss minimally doubled fermions fermions as an ultra-local formulation on the lattice for sea quarks that realize a non-singlet chiral symmetry. I introduce a non-singlet mass term for Karsten-Wilczek fermions and identify the…

High Energy Physics - Lattice · Physics 2016-11-28 Johannes Heinrich Weber

We study various improved staggered quark Dirac operators on quenched gluon backgrounds in lattice QCD generated using a Symanzik-improved gluon action. We find a clear separation of the spectrum into would-be zero modes and others. The…

High Energy Physics - Lattice · Physics 2008-11-26 E. Follana , A. Hart , C. T. H. Davies

Taste symmetry violations in staggered fermion formulations correlate strongly with the cut-off (lattice spacing) dependence in thermodynamic quantities. Better taste symmetry on the lattice can be achieved either by decreasing the lattice…

High Energy Physics - Lattice · Physics 2015-03-17 Alexei Bazavov , Peter Petreczky

A popular approximation in lattice gauge theory is an extrapolation in the number of fermion species away from the four fold degeneracy natural with the staggered fermions formulation. I show that at finite lattice spacing and for an odd…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

Staggered Domain Wall Fermions (SDWF) combine the attractive chiral properties of staggered fermions with those of domain wall fermions. SDWF describe four flavors with exact U(1)xU(1) flavor chiral symmetry. An extra lattice dimension is…

High Energy Physics - Lattice · Physics 2007-05-23 G. T. Fleming , P. M. Vranas

We discuss the properties of 't Hooft vertices in partially quenched and rooted versions of QCD in the continuum. These theories have a physical subspace, equivalent to ordinary QCD, that is contained within a larger space that includes…

High Energy Physics - Lattice · Physics 2008-11-26 Claude Bernard , Maarten Golterman , Yigal Shamir , Stephen Sharpe

We study quark and lepton mass matrices derived from magnetized $T^2/\mathbb{Z}_2$ orbifold models. Quark and lepton masses have a large hierarchy. In addition, mixing angles are large in the lepton sector, while those are small in the…

High Energy Physics - Phenomenology · Physics 2022-12-14 Kouki Hoshiya , Shota Kikuchi , Tatsuo Kobayashi , Hikaru Uchida

Although taste violations significantly affect the results of staggered calculations of pseudoscalar and heavy-light mesonic quantities, those entering staggered calculations of baryonic quantities have not been quantified. Here I develop…

High Energy Physics - Lattice · Physics 2008-11-26 Jon A. Bailey

We calculate the fermion propagator and the quark-antiquark Green's functions for a complete set of ultralocal fermion bilinears, ${{\cal O}_\Gamma}$ [$\Gamma$: scalar (S), pseudoscalar (P), vector (V), axial (A) and tensor (T)], using…

High Energy Physics - Lattice · Physics 2013-11-22 G. S. Bali , F. Bruckmann , M. Constantinou , M. Costa , G. Endrodi , S. D. Katz , H. Panagopoulos , A. Schafer

We analyze the effects of flavor splitting from staggered fermion lattice simulations of graphene. Both the unimproved action, and the tadpole improved action with a Naik term show significant flavor symmetry breaking in the spectrum of the…

Strongly Correlated Electrons · Physics 2013-05-29 Joel Giedt , Andrew Skinner , Saroj Nayak

We present a random matrix theory (RMT) for the staggered lattice QCD Dirac operator. The staggered RMT is equivalent to the zero-momentum limit of the staggered chiral Lagrangian and includes all taste breaking terms at their leading…

High Energy Physics - Lattice · Physics 2011-06-03 James C. Osborn

With sufficiently light up and down quarks the isovector ($a_0$) and isosinglet ($f_0$) scalar meson propagators are dominated at large distance by two-meson states. In the staggered fermion formulation of lattice quantum chromodynamics,…

High Energy Physics - Lattice · Physics 2008-11-26 Claude Bernard , Carleton DeTar , Ziwen Fu , Sasa Prelovsek

We show that the lowest part of the eigenvalue density of the staggered fermion operator in lattice QCD_3 at small lattice coupling constant beta has exactly the same shape as in QCD_4. This observation is quite surprising, since universal…

High Energy Physics - Lattice · Physics 2011-02-28 P. Bialas , Z. Burda , B. Petersson

We present and test a new method for simulating dynamical fermions with fat links. Our construction is based on the introduction of auxiliary but dynamical gauge fields and works with any fermionic action and can be combined with any…

High Energy Physics - Lattice · Physics 2009-10-31 F. Knechtli , A. Hasenfratz