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We study the sign problem in the Hubbard model on the hexagonal lattice away from half-filling using the Lefschetz thimbles method. We identify the saddle points, reduce their amount, and perform quantum Monte Carlo (QMC) simulations using…

Strongly Correlated Electrons · Physics 2019-06-13 Maksim Ulybyshev , Christopher Winterowd , Savvas Zafeiropoulos

Lattice QCD at finite density suffers from a severe sign problem, which has so far prohibited simulations of the cold and dense regime. Here we study the onset of nuclear matter employing a three-dimensional effective theory derived by…

High Energy Physics - Lattice · Physics 2013-03-27 Michael Fromm , Jens Langelage , Stefano Lottini , Mathias Neuman , Owe Philipsen

We propose a practical way of circumventing the sign problem in lattice QCD simulations with a theta-vacuum term. This method is the reweighting method for the QCD Lagrangian after the U_A(1) transformation. In the Lagrangian, the P-odd…

High Energy Physics - Phenomenology · Physics 2013-03-14 Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

In this paper we carry out a low-temperature scan of the phase diagram of dense two-color QCD with $N_f=2$ quarks. The study is conducted using lattice simulation with rooted staggered quarks. At small chemical potential we observe the…

High Energy Physics - Lattice · Physics 2016-12-19 V. V. Braguta , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , A. A. Nikolaev

Supersymmetric models are grounded in the intriguing concept of a hypothetical symmetry that relates bosonic and fermionic particles. This symmetry has profound implications, offering valuable extensions to the Standard Model of particle…

High Energy Physics - Lattice · Physics 2024-11-25 Emanuele Mendicelli , David Schaich

The QCD phase diagram at densities relevant to neutron stars remains elusive, mainly due to the fermion-sign problem. At the same time, a plethora of possible phases has been predicted in models. Meanwhile $G_2$-QCD, for which the $SU(3)$…

High Energy Physics - Lattice · Physics 2014-03-26 Björn H. Wellegehausen , Axel Maas , Andreas Wipf , Lorenz von Smekal

We discuss recent progress made studies of bulk thermodynamics of strongly interacting matter through lattice simulations of QCD with an almost physical light and strange quark mass spectrum. We present results on the QCD equation of state…

High Energy Physics - Lattice · Physics 2008-11-26 Frithjof Karsch

At finite baryon density lattice QCD first-principle calculations can not be performed due to the sign problem. In order to circumvent this problem, we use the canonical approach, which provides reliable analytical continuation from the…

High Energy Physics - Lattice · Physics 2017-04-05 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

Our knowledge about the QCD phase diagram at finite baryon chemical potential $\mu_{B}$ is limited by the well known sign problem. The path integral measure, in the standard determinantal approach, becomes complex at finite $\mu_{B}$ so…

High Energy Physics - Lattice · Physics 2018-11-08 Giuseppe Gagliardi , Wolfgang Unger

We show how sign problems in simulations of many-body systems can manifest themselves in the form of heavy-tailed correlator distributions, similar to what is seen in electron propagation through disordered media. We propose an alternative…

High Energy Physics - Lattice · Physics 2011-12-20 Michael G. Endres , David B. Kaplan , Jong-Wan Lee , Amy N. Nicholson

We investigate the sign problem of the fermion determinant at finite baryon density in (1+1) dimensions, in which the ground state in the chiral limit should be free from the sign problem by forming a chiral spiral. To confirm it, we…

High Energy Physics - Phenomenology · Physics 2014-02-25 Ryutaro Fukuda , Kenji Fukushima , Tomoya Hayata , Yoshimasa Hidaka

Non-perturbative lattice QCD calculations at non vanishing baryon number density are hampered by the QCD sign problem. The path integral, that in lattice QCD is calculated numerically, becomes highly oscillating. One possible solution is…

High Energy Physics - Lattice · Physics 2017-02-01 Christian Schmidt , Felix Ziesché

We present results of simulations of Two Color QCD using two flavors of Wilson quark in the fundamental representation, at non-zero quark chemical potential mu, on an 8^3x16 lattice. Results for the quark number density, quark and gluon…

High Energy Physics - Lattice · Physics 2007-05-23 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

We report on evidence from lattice simulations that confinement is produced by dual superconductivity of the vacuum in full QCD as in quenched QCD. Preliminary information is obtained on the order of the deconfining phase transition.

High Energy Physics - Lattice · Physics 2008-11-26 J. M. Carmona , M. D'Elia , L. Del Debbio , A. Di Giacomo , B. Lucini , G. Paffuti , C. Pica

The method of analytic continuation from imaginary to real chemical potential is one of the most powerful tools to circumvent the sign problem in lattice QCD. Here we test this method in a theory, 2-color QCD, which is free from the sign…

High Energy Physics - Lattice · Physics 2010-10-27 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Alessandro Papa

We present recent updates and results from QC$_2$D (Two Colour QCD) simulations at non-zero baryon density, including progress toward determining the speed of sound.

High Energy Physics - Lattice · Physics 2024-12-23 Simon Hands , Seyong Kim , Dale Lawlor , Andrew Lee-Mitchell , Jon-Ivar Skullerud

We solve a random two-matrix model with two real asymmetric matrices whose primary purpose is to describe certain aspects of quantum chromodynamics with two colours and dynamical fermions at nonzero quark chemical potential mu. In this…

High Energy Physics - Lattice · Physics 2015-03-17 G. Akemann , T. Kanazawa , M. J. Phillips , T. Wettig

The method of analytic continuation is one of the most powerful tools to circumvent the sign problem in lattice QCD. The present study is part of a larger project which, based on the investigation of QCD-like theories which are free of the…

High Energy Physics - Lattice · Physics 2010-11-05 P. Cea , L. Cosmai , M. D'Elia , A. Papa

We elaborate on previous results concerning the positivity of the Euclidean path integral measure for low-energy modes in dense fermionic matter. We show that the sign problem usually associated with fermions is absent if one considers only…

High Energy Physics - Phenomenology · Physics 2009-11-10 Deog Ki Hong , Stephen D. H. Hsu

For a large class of Abelian lattice models with sign problems, including the case of non-zero chemical potential, duality maps models with complex actions into dual models with real actions. For extended regions of parameter space,…

High Energy Physics - Lattice · Physics 2013-11-22 Peter N. Meisinger , Michael C. Ogilvie