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The quantum simulation of topological phases in (2+1)D quantum electrodynamics with Wilson fermions provides a promising route toward realizing topological phenomena in near-term lattice experiments. We show that the commonly used…

High Energy Physics - Lattice · Physics 2026-03-09 Sriram Bharadwaj , Emil Rosanowski , Simran Singh , Alice di Tucci , Changnan Peng , Karl Jansen , Lena Funcke , Di Luo

In this paper we study thermodynamic properties of dense cold $SU(2)$ QCD within lattice simulation with dynamical rooted staggered quarks which in the continuum limit correspond to $N_f=2$ quark flavours. We calculate baryon density,…

High Energy Physics - Lattice · Physics 2020-11-04 N. Astrakhantsev , V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. A. Nikolaev

We investigate the Gross-Neveu model on the lattice at finite temperature and chemical potential in the limit of an infinite number of fermion flavours. We check the universality of the continuum limit of staggered and overlap fermions at…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Urs Wenger

We study the SU(3) gauge theory with Nf=12 flavors in the fundamental representation by use of lattice simulations with staggered fermions. With a non-improved action we observe a chiral zero-temperature (bulk) transition separating a…

High Energy Physics - Lattice · Physics 2013-03-26 Albert Deuzeman , Maria Paola Lombardo , Tiago Nunes da Silva , Elisabetta Pallante

Hybrid Monte Carlo (HMC) simulations of lattice gauge theories with fermionic matter rely on the invertibility of the lattice Dirac operator. Near-zero modes of the latter can therefore significantly slow down the update algorithm and cause…

High Energy Physics - Lattice · Physics 2024-01-11 Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami

The chiral properties of lattice fermions can be improved by altering either their fermion-gauge coupling or the pure gauge part of the action (or both). Using both perturbation theory and nonperturbative simulation, we compare a simple…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas DeGrand , Anna Hasenfratz , Tamas G. Kovacs

We study SU(2) lattice gauge theory at non-zero chemical potential with one staggered quark flavor in the adjoint representation. In this model the fermion determinant, although real, can be both positive and negative. We have performed…

High Energy Physics - Lattice · Physics 2011-09-13 S. Hands , I. Montvay , L. Scorzato , J. Skullerud

Baryonic matter is notoriously difficult to deal with in the large-N limit, as baryons become operators of very large dimension with N fields in the fundamental representation. This issue is also present in gauge/gravity duals as baryons…

High Energy Physics - Theory · Physics 2017-03-08 Carlos Hoyos , Georgios Itsios , Orestis Vasilakis

As fermions are added to a lattice gauge theory, one is driven to stronger bare coupling in order to maintain the same renormalized coupling. Stronger bare couplings are usually associated with larger gauge fluctuations, leading to larger…

High Energy Physics - Lattice · Physics 2021-10-13 Anna Hasenfratz , Yigal Shamir , Benjamin Svetitsky

By considering a flavour expansion about the SU(3)-flavour symmetric point, we investigate how flavour-blindness constrains octet baryon matrix elements after SU(3) is broken by the mass difference between the strange and light quarks. We…

High Energy Physics - Lattice · Physics 2012-12-12 A. N. Cooke , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , G. Schierholz , J. M. Zanotti

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

At a fixed lattice spacing, as determined by say m_\rho, adding additional fermion flavors to a dynamical simulation produces rougher gauge field configurations at the lattice scale. For domain wall fermions, these rough configurations lead…

High Energy Physics - Lattice · Physics 2009-11-13 Meifeng Lin

Susskind's continuous-time fermions, with two flavours, can be latticized using a one-sided time derivative. We are presently investigating the interacting case, where we hope to find the onset at finite $\mu$ at the right place due to the…

High Energy Physics - Lattice · Physics 2016-08-31 E. Mendel , L. Polley

We develop an improved lattice action for heavy quarks based on Brillouin-type fermions, that have excellent energy-momentum dispersion relation. The leading discretization errors of $O(a)$ and $O(a^2)$ are eliminated at tree-level. We…

High Energy Physics - Lattice · Physics 2015-06-11 Yong-Gwi Cho , Shoji Hashimoto , Andreas Jüttner , Takashi Kaneko , Marina Marinkovic , Jun-Ichi Noaki , Justus Tobias Tsang

Monte Carlo studies of QCD at finite density suffer from the sign problem, which becomes easily uncontrollable as the chemical potential $\mu$ is increased even for a moderate lattice size. In this work we make an attempt to approach the…

High Energy Physics - Lattice · Physics 2018-12-06 Yuta Ito , Hideo Matsufuru , Jun Nishimura , Shinji Shimasaki , Asato Tsuchiya , Shoichiro Tsutsui

Using 4 flavors of staggered fermions at infinite gauge coupling, we compare various analytic results for the hadron spectrum with exact Monte Carlo simulations. Agreement with Ref. \cite{Martin_etal} is very good, at the level of a few…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Seyong Kim

SU(2) gauge theory with a single fermion in the fundamental representation is a minimal non-Abelian candidate for the dark matter sector, which is presently missing from the standard model. Having only a single flavor provides a natural…

High Energy Physics - Lattice · Physics 2016-11-01 Anthony Francis , Renwick James Hudspith , Randy Lewis , Sean Tulin

This paper presents a formulation of lattice fermions applicable to all quark masses, large and small. We incorporate interactions from previous light-fermion and heavy-fermion methods, and thus ensure a smooth connection to these limiting…

High Energy Physics - Lattice · Physics 2008-11-26 Aida X. El-Khadra , Andreas S. Kronfeld , Paul B. Mackenzie

QCD at a finite quark-number chemical potential $\mu$ has a complex fermion determinant, which precludes its study by standard lattice QCD simulations. We therefore simulate lattice QCD at finite $\mu$ in the phase-quenched approximation,…

High Energy Physics - Lattice · Physics 2008-11-26 J. B. Kogut , D. K. Sinclair

Three-flavor QCD simulation with the $O(a)$-improved Wilson fermion action is made employing an exact fermion algorithm developed for odd number of quark flavors. For the plaquette gauge action, an unexpected first-order phase transition is…

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