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When the flavour content of QCD is increased sufficiently, the theory develops a non-trivial infra red fixed point. Thus, for a number of flavours above a certain critical value, but not yet so high that asymptotic freedom is lost, QCD…

High Energy Physics - Lattice · Physics 2010-01-21 Albert Deuzeman , Maria Paola Lombardo , Elisabetta Pallante

We calculate second and fourth order quark number susceptibilities for 2+1 flavor QCD in the high temperature region. In our study we use two improved staggered fermion formulations, namely the highly improved staggered quark formulation,…

High Energy Physics - Lattice · Physics 2015-06-17 A. Bazavov , H. -T. Ding , P. Hegde , F. Karsch , C. Miao , Swagato Mukherjee , P. Petreczky , C. Schmidt , A. Velytsky

According to the Nielsen-Ninomiya No-Go theorem, the doubling of fermions on the lattice cannot be suppressed in a chiral theory. Whereas Wilson and staggered fermions suppress doublers with explicit breaking of chiral symmetry, the random…

High Energy Physics - Lattice · Physics 2009-11-11 Saul D. Cohen

In this work we calculate the renormalization of counterterms which arise in the lattice action of $N = 1$ Supersymmetric QCD (SQCD). In particular, the fine-tunings for quartic couplings are studied in detail through both continuum and…

High Energy Physics - Lattice · Physics 2024-09-17 Marios Costa , Herodotos Herodotou , Haralambos Panagopoulos

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

We study the effective field theory for fermions in the color-flavor locked (CFL) phase of high density QCD. The effective theory contains a flavor nonet of baryons interacting with a nonet of pseudoscalar Goldstone bosons as well as a…

High Energy Physics - Phenomenology · Physics 2009-11-10 Andrei Kryjevski , Thomas Schaefer

We explore how rotational invariance is systematically recovered from calculations on hyper-cubic lattices through the use of smeared lattice operators that smoothly evolve into continuum operators with definite angular momentum as the…

High Energy Physics - Lattice · Physics 2015-03-20 Zohreh Davoudi , Martin J. Savage

The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from "hard" thermal momenta, and slowly convergent as well as non-perturbative contributions from "soft" thermal momenta. The latter can…

High Energy Physics - Lattice · Physics 2009-05-29 F. Di Renzo , M. Laine , Y. Schroder , C. Torrero

The fixed point actions for Wilson and staggered lattice fermions are determined by iterating renormalization group transformations. In both cases a line of fixed points is found. Some points have very local fixed point actions. They can be…

High Energy Physics - Lattice · Physics 2009-10-22 W. Bietenholz , U. -J. Wiese

The non-local dependence of the fermion determinant on the gauge field limits our ability of simulating Quantum Chromodynamics on the lattice. Here we present a factorization of the gauge field dependence of the fermion determinant based on…

High Energy Physics - Lattice · Physics 2022-11-15 Matteo Saccardi , Leonardo Giusti

The rooting procedure commonly used with staggered fermions does not correctly treat non-perturbative effects associated with gauge field topology. In practice these effects are small for the physics of flavor non-singlet particles. However…

High Energy Physics - Lattice · Physics 2009-06-25 Michael Creutz

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 present a new formulation of the staggered fermion on the D-dimensional lattice based on the SO(2D) Clifford algebra, which is naturally present in the action. The action of the massless staggered fermion is invariant under the discrete…

High Energy Physics - Lattice · Physics 2009-11-10 Katsumi Itoh , Mitsuhiro Kato , Michika Murata , Hideyuki Sawanaka , Hiroto So

We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the…

High Energy Physics - Lattice · Physics 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

In this contribution we revisit simulations of two-color QCD with rooted staggered quarks at finite density, where baryon-number spontaneously breaks and a diquark condensate forms. We thereby pay special attention to simulating outside the…

High Energy Physics - Lattice · Physics 2017-01-18 Lukas Holicki , Jonas Wilhelm , Dominik Smith , Björn Wellegehausen , Lorenz von Smekal

We perform lattice studies of the gauge theory with Sp(4) gauge group and two flavours of (Dirac) fundamental matter. The global SU(4) symmetry is spontaneously broken by the fermion condensate. The dynamical Wilson fermions in the lattice…

High Energy Physics - Lattice · Physics 2020-01-29 Ed Bennett , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

The chiral Lagrangian for Goldstone boson scattering is a power series expansion in numbers of derivatives. Each successive term is suppressed by powers of a scale, $\Lambda_\chi$, which must be less than of order $4\pi f/\sqrt{N}$ where…

High Energy Physics - Phenomenology · Physics 2013-11-13 R. Sekhar Chivukula , M. Dugan , M. Golden

We discuss fixed point actions for various types of free lattice fermions. The iterated block spin renormalization group transformation yields lines of local but chiral symmetry breaking fixed points. For staggered fermions at least the…

High Energy Physics - Lattice · Physics 2007-05-23 W. Bietenholz

We examine the taste structure of eigenvectors of the staggered-fermion Dirac operator. We derive a set of conditions on the eigenvectors of modes with small eigenvalues (near-zero modes), such that staggered fermions reproduce the 't Hooft…

High Energy Physics - Lattice · Physics 2011-09-29 Gordon C. Donald , Christine T. H. Davies , Eduardo Follana , Andreas S. Kronfeld

We investigate the continuum limit of the rooted staggered action in the 2-dimensional Schwinger model. We match both the unrooted and rooted staggered determinants with an overlap fermion determinant of two (one) flavors and a local pure…

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