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The feasibility of studying, numerically, properties of infinite volume QCD-like theories in the large $N$ limit using coherent state variational methods is reassessed. An entirely new implementation of this approach is described,…

High Energy Physics - Lattice · Physics 2026-02-05 Laurence G. Yaffe

QCD at non-zero chemical potential ($\mu$) for quark number has a complex fermion determinant and thus standard simulation methods for lattice QCD cannot be applied. We therefore simulate this theory using the Complex-Langevin algorithm…

High Energy Physics - Lattice · Physics 2015-10-22 D. K. Sinclair , J. B. Kogut

We use the Nambu--Jona-Lasinio model to study the effects of the isospin chemical potential on the QCD phase diagram at nonzero temperature and baryon chemical potential. We find that the phase diagram is qualitatively altered by a small…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Toublan , J. B. Kogut

We consider 2-dimensional QCD on a cylinder, where space is a circle. We find the ground state of the system in case of massless quarks in a $1/N$ expansion. We find that coupling to fermions nontrivially modifies the large $N$ saddle point…

High Energy Physics - Theory · Physics 2016-09-06 Avinash Dhar , Gautam Mandal , Spenta R. Wadia

The lattice simulations of $QC_2D$ with two flavors of staggered fermions and non-zero quark chemical potential $\mu_q$ have been performed. Dependencies of the Polyakov loop, chiral condensate and baryon number density on $\mu_q$ were…

High Energy Physics - Lattice · Physics 2016-02-17 V. V. Braguta , A. Yu. Kotov , A. A. Nikolaev , S. N. Valgushev

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density by applying the Karsten-Wilczek lattice fermion, in which a species-dependent imaginary chemical potential can reduce the number of…

High Energy Physics - Lattice · Physics 2012-12-21 Taro Kimura , Tatsuhiro Misumi , Akira Ohnishi

We discuss the chiral phase diagram in the parameter space of lattice QCD with minimal-doubling fermions, which can be seen as lattice fermions with flavored chemical potential terms. We study strong-coupling lattice QCD with the…

High Energy Physics - Lattice · Physics 2012-08-14 Tatsuhiro Misumi

We study N_f=2 lattice QCD with nonperturbatively improved Wilson fermions at finite temperature on 16^3 \cdot 8 lattices. We determine the transition temperature at m_{\pi}/m_{\rho} \sim 0.8 and lattice spacing as small as 0.12fm. The…

High Energy Physics - Lattice · Physics 2016-09-01 V. Bornyakov , Y. Nakamura , M. Chernodub , Y. Koma , Y. Mori , M. Polikarpov , G. Schierholz , A. Slavnov , H. Stüben , T. Suzuki , P. Uvarov , A. Veselov

We review the recent progress achieved in the theoretical investigation of Quantum Chromodynamics in the high temperature regime, with a focus on results achieved by lattice QCD simulations. The discussion covers the structure of the phase…

High Energy Physics - Lattice · Physics 2019-02-20 Massimo D'Elia

We study the response of meson masses to the chemical potential ($\partial{m}/\partial{\mu}$) at high temperature and at zero chemical potential on $N_f=2$ lattice with staggered fermions. Preliminary results for the meson composed of…

High Energy Physics - Lattice · Physics 2012-08-27 TARO Collaboration , Ph. deForcrand , T. Hashimoto , S. Hioki , Y. Liu , H. Matsufuru , O. Miyamura , A. Nakamura , T. Takaishi , T. Umeda

We study two-color lattice QCD with massless staggered fermions in the strong coupling limit using a new and efficient cluster algorithm. We focus on the phase diagram of the model as a function of temperature $T$ and baryon chemical…

High Energy Physics - Lattice · Physics 2007-05-23 Shailesh Chandrasekharan , Fu-Jiun Jiang

We present results of a simulation of 2-flavor QCD on a 4x16^3 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,mu_u,mu_d) with respect to…

High Energy Physics - Lattice · Physics 2008-11-26 C. R. Allton , M. Doering , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

We identify the global symmetries of SU(2) lattice gauge theory with N flavors of staggered fermion in the presence of a quark chemical potential mu, for fermions in both fundamental and adjoint representations, and anticipate likely…

High Energy Physics - Lattice · Physics 2009-01-07 S. Hands , I. Montvay , S. Morrison , M. Oevers , L. Scorzato , J. Skullerud

We review recent progress in the study of the large $N_c$ limit of gauge theories from lattice simulations. The focus is not only the planar limit but also the size of ${\mathcal O}(N_c^{-1})$ corrections for values of $N_c\gtrsim 3$. Some…

High Energy Physics - Lattice · Physics 2021-02-10 Pilar Hernández , Fernando Romero-López

Wilson loops in large N gauge theory exhibit a weak to strong coupling transition as the loop is dilated. A multiplicative matrix model captures the universal behavior associated with this transition. A universal scaling function is…

High Energy Physics - Lattice · Physics 2008-10-06 Rajamani Narayanan , Herbert Neuberger

The massive Gross-Neveu model is solved in the large N limit at finite temperature and chemical potential. The scalar potential is given in terms of Jacobi elliptic functions. It contains three parameters which are determined by…

High Energy Physics - Theory · Physics 2008-11-26 Oliver Schnetz , Michael Thies , Konrad Urlichs

A study of QCD at non-zero chemical potential, mu, and temperature, T, is performed using the lattice technique. The transition temperature (between the confined and deconfined phases) is determined as a function of mu and is found to be in…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. R. Allton , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , Ch. Schmidt , L. Scorzato

We investigate the possibility of coupling a chemical potential only to the physical chiral fermions on the lattice starting from the many body state description of overlap fermions. After developing the formalism for a chiral gauge theory,…

High Energy Physics - Lattice · Physics 2015-05-30 R. Narayanan , Sayantan Sharma

We propose a new framework for investigating two-flavor lattice QCD with finite temperature and density. We consider the Karsten-Wilczek fermion formulation, in which a species-dependent imaginary chemical potential term can reduce the…

High Energy Physics - Lattice · Physics 2012-11-08 Tatsuhiro Misumi , Taro Kimura , Akira Ohnishi

Combining strong coupling and hopping expansion one can derive a dimensionally reduced effective theory of lattice QCD. This theory has a reduced sign problem, is amenable to analytic evaluation and was successfully used to study the cold…

High Energy Physics - Lattice · Physics 2019-12-05 Owe Philipsen , Jonas Scheunert
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