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We study the finite density phase transition in the lattice QCD at real chemical potential. We adopt canonical approach and the canonical partition function is constructed for Nf=2 QCD. After derivation of the canonical partition function…

High Energy Physics - Lattice · Physics 2016-03-23 Atsushi Nakamura , Shotaro Oka , Yusuke Taniguchi

Using a chiral random matrix theory we can now derive the low energy partition functions and Dirac eigenvalue correlations of QCD with different chemical potentials for the dynamical and valence quarks. The results can also be extended to…

High Energy Physics - Lattice · Physics 2008-11-26 James C. Osborn

Considered as a function of the quark mases, two-flavor QCD depends on three parameters, including one that is CP violating. As the masses vary to unphysical values, regions of both first- and second-order phase transitions are expected.…

High Energy Physics - Phenomenology · Physics 2011-10-20 Michael Creutz

The order of the phase transition in finite-temperature QCD with two degenerate light quarks is still an open problem and corresponds to the last question mark in the zero-density phase diagram of QCD. We argue that establishing the nature…

High Energy Physics - Lattice · Physics 2010-12-13 Tereza Mendes

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

The so-called Columbia plot summarises the order of the QCD thermal transition as a function of the number of quark flavours and their masses. Recently, it was demonstrated that the first-order chiral transition region, as seen for $N_f \in…

High Energy Physics - Lattice · Physics 2022-12-08 Alfredo D'Ambrosio , Owe Philipsen , Reinhold Kaiser

The QCD thermodynamics on the lattice provides fundamental theoretical grounds to analyze the various experimental data in relativistic heavy ion collisions. So far, most of the numerical simulations on the lattice have been performed by…

High Energy Physics - Lattice · Physics 2008-11-26 S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , N. Ukita , S. Aoki , K. Kanaya

At sufficiently low temperature, without requiring any numerical data at finite real chemical potential, we can clarify the canonical partition function with fixed quark number via the imaginary chemical potential region with few ansatzs.…

High Energy Physics - Phenomenology · Physics 2022-03-21 Kouji Kashiwa , Hiroaki Kouno

Using an integration formula recently derived by Conrey, Farmer and Zirnbauer, we calculate the expectation value of the phase factor of the fermion determinant for the staggered lattice QCD action in one dimension. We show that the…

High Energy Physics - Theory · Physics 2008-11-26 L. Ravagli , J. J. M. Verbaarschot

We investigate the deconfining phase transition in SU(3) pure gauge theory and in full QCD with two flavors of staggered fermions by means of a gauge invariant thermal partition functional. In the pure gauge case our finite size scaling…

High Energy Physics - Lattice · Physics 2008-11-26 P. Cea , L. Cosmai , M. D'Elia

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 and test a new approach to computation of canonical partition functions in lattice QCD at finite density. We suggest a few steps procedure. We first compute numerically the quark number density for imaginary chemical potential…

High Energy Physics - Lattice · Physics 2017-05-24 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

Quantum chromodynamics has a rather complicated phase structure. The finite temperature, chiral phase structure depends on the number of flavours and to a large extent on the particular values of the fermion masses. For two massless…

High Energy Physics - Lattice · Physics 2009-10-30 T. Reisz

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 compute the QCD phase diagram in the plane of the chiral chemical potential and temperature using the linear sigma model coupled to quarks and to the Polyakov loop. The chiral chemical potential accounts for effects of imbalanced…

High Energy Physics - Phenomenology · Physics 2015-03-18 M. N. Chernodub , A. S. Nedelin

The temperature dependence of the thermodynamic potential of quantum chromodynamics (QCD), the specific heat, and the quark effective mass are calculated for imbalanced quark matter in the limit of a large number of quark flavors…

High Energy Physics - Theory · Physics 2012-06-26 J. J. R. M. van Heugten , Shaoyu Yin , H. T. C. Stoof

We study thermodynamic properties of the Schwinger model on a torus with f flavors of massless fermions and flavor-dependent chemical potentials. Generalizing the two-flavor case, we present a representation of the partition function in the…

High Energy Physics - Lattice · Physics 2013-11-01 Robert Lohmayer , Rajamani Narayanan

Aiming to understand the phase structure of lattice QCD at nonzero temperature and density, we study the phase transitions of QCD in an extended parameter space, where the number of flavor and quark masses are considered as parameters.…

High Energy Physics - Lattice · Physics 2016-11-23 Shinji Ejiri , Ryo Iwami , Norikazu Yamada

We construct an effective model for the QCD equation of state, taking into account chiral symmetry restoration as well as the deconfinement phase transition. The correct asymptotic degrees of freedom at the high and low temperature limits…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Steinheimer , S. Schramm , H. Stöcker

Phase diagram of a chiral random matrix model with the degenerate ud quarks and the s quark at finite temperature and density is presented. The model exhibits a first-order transition at finite temperature for three massless flavors, owing…

High Energy Physics - Phenomenology · Physics 2010-04-06 H. Fujii , T. Sano