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We present analytical and numerical results on symmetry properties of staggered fermions with taste splitting mass terms. As staggered species split differently for different types of taste splitting masses, various lattice symmetry…

High Energy Physics - Lattice · Physics 2024-11-13 Nuha Chreim , Christian Hoelbling

We introduce a class of improved actions for staggered fermions which to O(p^4) and O(p^6), respectively, lead to rotationally invariant propagators. We discuss the resulting reduction of flavour symmetry breaking in the meson spectrum and…

High Energy Physics - Lattice · Physics 2010-11-19 B. Beinlich , A. Bicker , F. Karsch , E. Laermann , A. Peikert

We discuss the construction of a chiral random matrix model for staggered fermions. This model includes $O(a^2)$ corrections to the continuum limit of staggered fermions and is related to the zero momentum limit of the Lee-Sharpe Lagrangian…

High Energy Physics - Lattice · Physics 2007-05-23 James C. Osborn

Mass-split systems based on a conformal infrared fixed point provide a low-energy effective description of beyond the standard model systems with large scale separation. We report results of exploratory investigations with four light and…

High Energy Physics - Lattice · Physics 2018-04-18 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

We investigate exact symmetries of a staggered fermion in D dimensions. The Dirac operator is reformulated by SO(2D) Clifford algebra. The chiral symmetry, rotational invariance and parity symmetries are clarified in any dimension. Local…

High Energy Physics - Lattice · Physics 2009-11-10 K. Itoh , M. Kato , M. Murata , H. Sawanaka , H. So

Complete spectra of the staggered Dirac operator $\Dirac$ are determined in four-dimensional $SU(2)$ gauge fields with and without dynamical fermions. An attempt is made to relate the performance of multigrid and conjugate gradient…

High Energy Physics - Lattice · Physics 2009-10-22 Thomas Kalkreuter

We compute chiral logarithms in the presence of "taste" symmetry breaking of staggered fermions. The lagrangian of Lee and Sharpe is generalized and then used to calculate the logs in $\pi$ and $K$ masses. We correct an error in Ref. [1]…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , C. DeTar , Steven Gottlieb , Urs M. Heller , K. Orginos , R. Sugar , D. Toussaint

A different lattice fermion method is introduced. Staggered domain wall fermions are defined in 2n+1 dimensions and describe 2^n flavors of light lattice fermions with exact U(1) x U(1) chiral symmetry in 2n dimensions. As the size of the…

High Energy Physics - Lattice · Physics 2009-11-07 George T. Fleming , Pavlos M. Vranas

We show how it is possible to trap two-dimensional massless Dirac fermions in spatially inhomogeneous magnetic fields, as long as the formed magnetic quantum dot (or ring) is of a slowly decaying nature. It is found that a modulation of the…

Mesoscale and Nanoscale Physics · Physics 2016-10-11 C. A. Downing , M. E. Portnoi

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

One leading source of uncertainty in the lattice computation of semi-leptonic form factors in B decay, and to a lesser extent B meson decay constants, comes from the extrapolation of the light quark mass to the physical up/down mass. This…

High Energy Physics - Lattice · Physics 2007-05-23 Matthew Wingate , Junko Shigemitsu , G. Peter Lepage

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

Many results from lattice QCD of broad importance to particle and nuclear physics are obtained with 2+1 flavors of staggered sea quarks. In the continuum limit, staggered fermions yield four species, called tastes. To reduce the number of…

High Energy Physics - Lattice · Physics 2011-06-10 Andreas S. Kronfeld

In HISQ simulations by the MILC and Fermilab Lattice collaborations, both the light quarks and the charm quark are staggered. We extend staggered chiral perturbation theory (\schpt) to include such all-staggered heavy-light mesons. We…

High Energy Physics - Lattice · Physics 2012-11-06 Javad Komijani , Claude Bernard

It is shown that the flavour projection of staggered fermions can be written as a projection between the fields on four separate, but parallel, lattices, where the fields on each are modified forms of the standard staggered fermion field.…

High Energy Physics - Lattice · Physics 2010-10-27 Steven Watterson

We study the infrared part of the spectrum for UV-filtered staggered Dirac operators and compare them to the overlap counterpart. With sufficient filtering and at small enough lattice spacing the staggered spectra manage to ``mimic'' the…

High Energy Physics - Lattice · Physics 2009-11-10 Stephan Dürr , Christian Hoelbling , Urs Wenger

Last year we proposed using staggered fermions as the light quarks, combined with nonrelativistic heavy quarks, in simulations of heavy-light mesons. A first round of tests which focuses on the B_s meson has been completed using quenched…

High Energy Physics - Lattice · Physics 2009-11-07 Matthew Wingate , Junko Shigemitsu , G. Peter Lepage , Christine Davies , Howard Trottier

A system of two species of fermions of different mass confined in a one-dimensional harmonic trap is studied with an exact diagonalization approach. It is shown independently on the number of particles that a mass difference between…

Quantum Gases · Physics 2016-01-13 Daniel Pęcak , Mariusz Gajda , Tomasz Sowiński

Staggered fermion shift symmetries correspond to translations of the fermion field within the unit cell of a hypercubic lattice. They satisfy an algebra and in four Euclidean dimensions can be related to a discrete subgroup of an $SU(4)$…

High Energy Physics - Lattice · Physics 2024-10-08 Simon Catterall , Arnab Pradhan

In highly improved staggered quark (HISQ) simulations by the HPQCD, MILC, and Fermilab Lattice collaborations, both the light quarks and the charm quark are staggered. We extend chiral perturbation theory for staggered quarks to include…

High Energy Physics - Lattice · Physics 2013-11-27 Claude Bernard , Javad Komijani
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