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The $SU(3)$ spin model with chemical potential corresponds to a simplified version of QCD with static quarks in the strong coupling regime. It has been studied previously as a testing ground for new methods aiming to overcome the sign…

High Energy Physics - Lattice · Physics 2020-10-28 Jangho Kim , Anh Quang Pham , Owe Philipsen , Jonas Scheunert

A brief review is given of the sign problem in finite density lattice QCD and various attempts to overcome it. To date there is still no solution to this problem which would work for realistic QCD. The main focus then is on the deconfined…

High Energy Physics - Lattice · Physics 2009-10-31 O. Philipsen

We propose a model of quark flavor based on an additional $SU(2)\times U(1)$ local symmetry in a warped extra dimensional bulk. In contrast to other works, we break the additional gauge symmetry in the bulk via two complex scalars which…

High Energy Physics - Phenomenology · Physics 2020-03-18 George N. Wojcik , Thomas G. Rizzo

We present the new results of the Wuppertal-Budapest lattice QCD collaboration on flavor diagonal and non-diagonal quark number susceptibilities with 2+1 staggered quark flavors, in a temperature regime between 120 and 400 MeV. A Symanzik…

High Energy Physics - Lattice · Physics 2015-05-30 Szabolcs Borsanyi , Zoltan Fodor , Sandor D. Katz , Stefan Krieg , Claudia Ratti , Kalman K. Szabo

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

Tools necessary for quantum simulations of $1+1$ dimensional quantum chromodynamics are developed. When formulated in axial gauge and with two flavors of quarks, this system requires 12 qubits per spatial site with the gauge fields included…

We study the two dimensional lattice Thirring model in the presence of a fermion chemical po- tential. Our model is asymptotically free, contains massive fermions that mimic a baryon and light bosons that mimic pions. Hence it is a useful…

High Energy Physics - Lattice · Physics 2018-03-14 Venkitesh Ayyar , Shailesh Chandrasekharan , Jarno Rantaharju

We study thermodynamic properties of 2+1 flavor QCD with improved Wilson quarks coupled with the RG improved Iwasaki glue, using the fixed scale approach. We present the results for the equation of state, renormalized Polyakov loop, and…

High Energy Physics - Lattice · Physics 2012-12-07 T. Umeda , S. Aoki , S. Ejiri , T. Hatsuda , K. Kanaya , Y. Maezawa , H. Ohno

The QCD phase diagram is analyzed within chiral quark models with nonlocal separable interactions. For the case of two light flavors, we describe in detail the characteristics of the chiral phase transition in the T-mu plane, and analyze…

High Energy Physics - Phenomenology · Physics 2007-05-23 Daniel Gomez Dumm

We present a study of the finite density lattice Thirring model in 1+1 dimensions using the world-line/fermion-bag algorithm. The model has features similar to QCD and provides a test case for exploring the accuracy of various methods of…

High Energy Physics - Lattice · Physics 2018-04-18 Jarno Rantaharju

We reconsider canonical quantization of the rotating soliton in the SU(3) Chiral Quark-Soliton Model. We show that at the level of 1/N_c, in contrast to the SU(2) version of the model, there appear terms which spoil the commutation rules of…

High Energy Physics - Phenomenology · Physics 2010-11-19 M. Praszalowicz , T. Watabe , K. Goeke

We explore phase structures and hadron mass spectra in cold and dense two-color QCD with $2+2$ flavors where the sign problem disappears. We particularly focus on $U(1)$ axial anomaly effects. We employ an $N_f=2+2$ linear sigma model based…

High Energy Physics - Phenomenology · Physics 2026-01-08 Manato Sakai , Daiki Suenaga

We explore the phase diagram for an $SU(N)$ gauge theory in $2 + 1$ dimensions with three families of fermions with different masses, all in the fundamental representation. The phase diagram is three dimensional and contains cuboid, planar…

High Energy Physics - Theory · Physics 2021-03-12 Abdullah Khalil , Radu Tatar

The notorious sign problem severely limits the applicability of quantum Monte Carlo (QMC) simulations, as statistical errors grow exponentially with system size and inverse temperature. A recent proposal of a quantum-computing stochastic…

Quantum Physics · Physics 2026-03-11 Kwai-Kong Ng , Min-Fong Yang

We investigate the QCD chiral phase transition at finite chemical potential $\mu$, using the renormalization group (RG) to characterize the infrared behavior of sigma models constrained by the flavor and spacetime symmetries. The results…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephen D. H. Hsu , Myckola Schwetz

We propose a new method for simulating QCD at finite density. The method is based on a general factorization property of distribution functions of observables, and it is therefore applicable to any system with a complex action. The…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

The nature of the chiral phase transition of QCD continues to represent a fundamental open problem in the study of strongly interacting matter. In recent years, significant progress has been achieved by exploiting systematic variations of…

High Energy Physics - Lattice · Physics 2025-12-23 Alessandro Sciarra

A nonperturbative lattice study of QCD at finite chemical potential is complicated due to the complex fermion determinant and the sign problem. Here we apply the method of stochastic quantization and complex Langevin dynamics to this…

High Energy Physics - Lattice · Physics 2009-02-09 Gert Aarts , Ion-Olimpiu Stamatescu

We investigate the phase structure of the (3+1)-dimensional strong coupling two-color QCD at zero temperature ($T=0$) with finite chemical potential using the tensor renormalization group method. The chiral and diquark condensates and the…

High Energy Physics - Lattice · Physics 2026-02-13 Yuto Sugimoto , Shinichiro Akiyama , Yoshinobu Kuramashi

We demonstrate how to locate the critical endpoint of the QCD phase transition by means of simulations at imaginary \mu. For the three flavor theory, we present numerical results for the pseudo-critical line as a function of chemical…

High Energy Physics - Lattice · Physics 2009-11-10 Ph. de Forcrand , O. Philipsen