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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

We discuss the QCD critical point at finite density through the study of many flavor QCD, in which two light flavors and Nf massive flavors exist. Performing simulations of QCD with two flavors of improved Wilson fermions, we calculate…

High Energy Physics - Lattice · Physics 2015-12-29 Ryo Iwami , Shinji Ejiri , Norikazu Yamada

We study finite volume effects within the Polyakov loop Nambu-Jona-Lasinio model for two light and one heavy quarks at vanishing baryon chemical potential and finite temperatures. We include three different Polyakov loop potentials and…

High Energy Physics - Phenomenology · Physics 2018-08-24 A. G. Grunfeld , G. Lugones

We present Monte Carlo calculations of the thermodynamics of the (2+1) dimensional Thirring model at finite density. We bypass the sign problem by deforming the domain of integration of the path integral into complex space in such a way as…

High Energy Physics - Lattice · Physics 2018-11-14 Andrei Alexandru , Paulo F. Bedaque , Henry Lamm , Scott Lawrence , Neill C. Warrington

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory.…

High Energy Physics - Lattice · Physics 2020-12-04 Julian J. Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

In this paper we study a (1+1)-dimensional version of the famous Nambu-Jona-Lasinio model of Quantum Chromodynamics (QCD2) both at zero and finite hadron density. We use non-perturbative techniques (non-Abelian bosonization and Truncated…

High Energy Physics - Theory · Physics 2016-08-10 P. Azaria , R. M. Konik , Ph. Lecheminant , T. Palmai , G. Takacs , A. M. Tsvelik

Sign problem in fermion quantum Monte Carlo (QMC) simulation appears to be an extremely hard problem. Traditional lore passing around for years tells people that when there is a sign problem, the average sign in QMC simulation approaches…

Strongly Correlated Electrons · Physics 2022-07-20 Xu Zhang , Gaopei Pan , Xiao Yan Xu , Zi Yang Meng

The Polyakov$-$Nambu$-$Jona-Lasinio model has been quite successful in describing various qualitative features of observables for strongly interacting matter, that are measurable in heavy-ion collision experiments. The question still…

High Energy Physics - Phenomenology · Physics 2017-08-15 Abhijit Bhattacharyya , Sanjay K. Ghosh , Soumitra Maity , Sibaji Raha , Rajarshi Ray , Kinkar Saha , Sudipa Upadhaya

The properties of two-flavored massless Nambu-Jona-Lasinio model in (1+1)-dimensional $R^1\times S^1$ spacetime with compactified space coordinate are investigated in the presence of isospin and quark number chemical potentials $\mu_I$,…

High Energy Physics - Phenomenology · Physics 2015-05-28 D. Ebert , T. G. Khunjua , K. G. Klimenko , V. Ch. Zhukovsky

The Taylor expansion of thermodynamic observables at a finite baryon chemical potential $\mu_B$ is an oft-used method to circumvent the well-known sign problem of Lattice QCD. Owing to the associated difficulty and limitations of precision…

High Energy Physics - Phenomenology · Physics 2023-02-14 Sabarnya Mitra , Prasad Hegde , Christian Schmidt

QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

We extend the SU(3) (Polyakov) Nambu Jona-Lasinio in two ways: We introduce the next to leading order contribution (in $N_c$) in the partition function. This contribution contains explicit mesonic terms. We introduce a coupling between the…

High Energy Physics - Phenomenology · Physics 2020-10-16 David Fuseau , Thorsten Steinert , Joerg Aichelin

We discuss two new DoS approaches for finite density lattice QCD. The paper extends a recent presentation of the new techniques based on Wilson fermions, while here we now discuss and test the case of finite density QCD with staggered…

High Energy Physics - Lattice · Physics 2019-12-12 Christof Gattringer , Michael Mandl , Pascal Törek

Generalizations of QCD in which the number of colors N is taken to infinity are characterized by profound mathematical properties, with far-reaching implications for fundamental problems and for phenomenological issues alike. In this…

High Energy Physics - Lattice · Physics 2013-04-18 Marco Panero

The non-monotonic behavior of the speed of sound for isospin imbalanced strongly interacting matter, found by recent lattice QCD simulations, can be reproduced within the Nambu--Jona-Lasinio model and Linear Sigma Model with quarks when the…

High Energy Physics - Phenomenology · Physics 2025-01-06 Alejandro Ayala , Bruno S. Lopes , Ricardo L. S. Farias , Luis C. Parra

A new method of employing an isospin chemical potential for QCD-like theories with different number of colors, number of fermion flavors, and in different fermion representations is proposed. The isospin chemical potential, which can be…

High Energy Physics - Lattice · Physics 2013-05-30 Michael I. Buchoff

I review recent developments in the study of strongly interacting field theories with non-zero chemical potential mu. In particular I focus on (a) the determination of the QCD critical endpoint in the (mu,T) plane; (b) superfluid…

High Energy Physics - Lattice · Physics 2015-06-25 Simon Hands

We study lattice QCD with four flavors of staggered quarks. In the limit of infinite gauge coupling, "dual" variables can be introduced, which render the finite-density sign problem mild and allow a full determination of the $\mu-T$ phase…

High Energy Physics - Lattice · Physics 2014-10-15 Philippe de Forcrand , Jens Langelage , Owe Philipsen , Wolfgang Unger

$G_2$-QCD, in which the exceptional Lie group $G_2$ replaces the $SU(3)$ gauge group of QCD, does not suffer from a fermion sign problem. It can therefore be simulated also at comparatively low temperatures and high densities on the…

High Energy Physics - Lattice · Physics 2015-01-28 Bjoern H. Wellegehausen , Lorenz von Smekal

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