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We study the anomalous breaking of U_A(1) symmetry just above the QCD phase transition for zero and two flavors of quarks, using a staggered fermion, lattice discretization. The properties of the QCD phase transition are expected to depend…

High Energy Physics - Lattice · Physics 2009-10-31 Shailesh Chandrasekharan , Dong Chen , Norman Christ , Weonjong Lee , Robert Mawhinney , Pavlos Vranas

We calculate the one-loop matching coefficients between continuum and lattice four-fermion operators for lattice operators constructed using staggered fermions and improved by the use of fattened links. In particular, we consider hypercubic…

High Energy Physics - Lattice · Physics 2009-11-10 Weonjong Lee , Stephen Sharpe

We resolve contradictions in the literature concerning the origins and size of unphysical flavor-changing strong interactions generated by the staggered-quark discretization of QCD. We show that the leading contributions are tree-level in…

High Energy Physics - Lattice · Physics 2016-09-01 G. Peter Lepage

Using the Sigma model to explore the lowest order pseudo-scalar spectrum with SU(3) breaking, this talk considers an additional exact "taste" symmetry to mimic species doubling. Rooting replicas of a valid approach such as Wilson fermions…

High Energy Physics - Lattice · Physics 2018-04-18 Michael Creutz

We summarize results for partially quenched chiral perturbation theory and indicate an application to staggered fermion QCD in which the square root of the determinant is taken to reduce the number of flavors from four to two.

High Energy Physics - Lattice · Physics 2009-10-22 C. Bernard , M. Golterman

We explain why naive discretization results that have appeared in [hep-lat/0006013] do not appear to yield the desired continuum limit. The fermion propagator on the lattice inevitably yields a diagram with nonvanishing UV degree D=0…

High Energy Physics - Lattice · Physics 2008-11-26 Joel Giedt , Roman Koniuk , Erich Poppitz , Tzahi Yavin

Growing evidence indicates that in the continuum limit the rooted staggered action is in the correct QCD universality class, the non-local terms arising from taste breaking can be viewed as lattice artifacts. In this paper we consider the…

High Energy Physics - Lattice · Physics 2013-05-29 Anna Hasenfratz , Roland Hoffmann

We continue our earlier study of the phase structure of a SU(2) gauge theory whose action contains additional chirally invariant four fermion interactions. Our lattice theory uses a reduced staggered fermion formalism to generate two Dirac…

High Energy Physics - Lattice · Physics 2015-06-15 Simon Catterall , Aarti Veernala

In order to study the running coupling in four-flavour QCD, we review the set-up of the Schr\"odinger functional (SF) with staggered quarks. Staggered quarks require lattices which, in the usual counting, have even spatial lattice extent…

High Energy Physics - Lattice · Physics 2009-04-14 P. Perez-Rubio , S. Sint

As a computationally less costly test case for full QCD, we investigate an SU(3) Yang-Mills theory coupled to a bosonic spinor field. This theory corresponds to QCD with minus two quark flavors and is known as the bermion model. Our central…

High Energy Physics - Lattice · Physics 2007-05-23 Bernd Gehrmann

We apply a new bosonization technique to relativistic field theories of fermions whose partition function is dominated by bosonic composites, and derive the effective action for these bosons. The derivation respects all symmetries,…

High Energy Physics - Lattice · Physics 2010-10-27 Sergio Caracciolo , Victor Laliena , Fabrizio Palumbo

We clarify the relation between the improvement of dispersion relations in the fermion sector of lattice regularized QCD and the improvement of bulk thermodynamic observables. We show that in the infinite temperature limit the cut-off…

High Energy Physics - Lattice · Physics 2008-11-26 P. Hegde , F. Karsch , E. Laermann , S. Shcheredin

Minimally doubled fermion actions offer a discretization for two-flavor Quantum Chromodynamics without rooting, but retaining a U(1) chiral symmetry at the same time. The price to pay is a breaking of the hypercubic symmetry, which requires…

High Energy Physics - Lattice · Physics 2025-02-12 S. Borsányi , S. Capitani , Z. Fodor , D. Godzieba , P. Parotto , R. A. Vig , C. H. Wong

Confinement in asymptotically free gauge theories is accompanied by the spontaneous breaking of the global flavor symmetry. If a subgroup of the flavor symmetry group is coupled weakly to additional gauge fields, the vacuum state tends to…

High Energy Physics - Lattice · Physics 2015-05-14 Maarten Golterman , Yigal Shamir

Using the Schr\"odinger functional (SF) with a single staggered fermion field we calculate the SF coupling in four-flavour QCD for a wide range of energies and lattice sizes up to $L/a=16$. Preliminary results for the continuum…

High Energy Physics - Lattice · Physics 2010-12-01 Paula Pérez-Rubio , Stefan Sint

We calculate the axial current decay constants of taste non-Goldstone pions and kaons in staggered chiral perturbation theory through next-to-leading order. The results are a simple generalization of the results for the taste Goldstone…

High Energy Physics - Lattice · Physics 2013-04-03 Jon A. Bailey , Weonjong Lee , Boram Yoon

We present results of a simulation of QCD on a 4x16^3 lattice with 2 continuum flavors of p4-improved staggered fermion with mass m/T=0.4. Derivatives of the thermodynamic grand potential with respect to quark chemical potential mu_q up to…

High Energy Physics - Lattice · Physics 2011-05-05 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , C. Schmidt

Numerical Stochastic Perturbation Theory (NSPT) allows for perturbative computations in quantum field theory. We present an implementation of NSPT that yields results for high orders in the perturbative expansion of lattice gauge theories…

High Energy Physics - Lattice · Physics 2018-11-27 Luigi Del Debbio , Francesco Di Renzo , Gianluca Filaci

We introduce the \emph{flavoured lattice Schwinger model}, a $(1{+}1)$-dimensional $U(1)$ lattice gauge theory in which the fermion doubling problem is resolved by staggering a $\mathbb{Z}_{2}$ flavour degree of freedom rather than…

High Energy Physics - Lattice · Physics 2026-04-21 Dogukan Bakircioglu

The Asqtad improved staggered fermion formalism has been a valuable tool in successfully calculating the non-singlet parts of the hadronic spectrum. We are engaged in a project to calculate the spectrum of the pseudoscalar singlet mesons…

High Energy Physics - Lattice · Physics 2008-11-26 Eric B. Gregory , Alan C. Irving , Craig McNeile , Christopher M. Richards
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