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To leading order in perturbation theory, we solve QCD, defined on a small three sphere in the large N and Nf limit, at finite chemical potential and map out the phase diagram in the (mu,T) plane. The action of QCD is complex in the presence…

High Energy Physics - Theory · Physics 2015-03-13 Simon Hands , Timothy J. Hollowood , Joyce C. Myers

The QCD phase diagram is one of the most prominent outstanding puzzles within the Standard Model. Various experiments, which aim at its exploration beyond small baryon density, are operating or in preparation. From the theoretical side,…

We use 2-color QCD as a model to study the effects of simultaneous presence of chemical potentials for isospin charge, $\mu_I$, and for baryon number, $\mu_B$. We determine the phase diagrams for 2 and 4 flavor theories using the method of…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Splittorff , D. T. Son , M. A. Stephanov

We perform a numerical study of the systematic effects involved in the determination of the critical line at real baryonic chemical potential by analytic continuation from results obtained at imaginary chemical potentials. We present…

High Energy Physics - Lattice · Physics 2009-10-12 Paolo Cea , Leonardo Cosmai , Massimo D'Elia , Chiara Manneschi , Alessandro Papa

QCD critical point is a landmark region in the QCD phase diagram outlined by temperature as a function of baryon chemical potential. To the right of this second-order phase transition point, one expects first order quark-hadron phase…

Nuclear Experiment · Physics 2022-05-25 A. Pandav , D. Mallick , B. Mohanty

The equation of state of QCD matter at high densities is relevant for neutron star structure and for neutron star mergers and has been a focus of recent work. We show how lattice QCD simulations, free of sign problems, can provide an upper…

Nuclear Theory · Physics 2023-12-04 Guy D. Moore , Tyler Gorda

I review arguments for the existence of a critical point in the QCD phase diagram as a function of temperature and baryon chemical potential. I describe how heavy ion collision experiments at the SPS and RHIC can discover the tell-tale…

High Energy Physics - Phenomenology · Physics 2014-11-17 Krishna Rajagopal

In heavy ion collision experiments as well as in neutron stars, both baryon and isospin chemical potentials are different from zero. In particular, the regime of small isospin chemical potential is phenomenologically important. Using a…

High Energy Physics - Lattice · Physics 2009-11-10 D. Toublan , B. Klein , J. J. M. Verbaarschot

We construct the QCD equation of state at finite chemical potentials including net baryon, electric charge, and strangeness, based on the conserved charge susceptibilities determined from lattice QCD simulations and the equation of state of…

Nuclear Theory · Physics 2019-08-21 Akihiko Monnai , Björn Schenke , Chun Shen

Neither the chiral limit nor finite baryon density can be simulated directly in lattice QCD, which severely limits our understanding of the QCD phase diagram. In this review I collect results for the phase structure in an extended parameter…

High Energy Physics - Lattice · Physics 2019-12-11 Owe Philipsen

An analysis of the baryon-baryon potential from the point of view of large-N(c) QCD is performed. A comparison is made between the N(c)-scaling behavior directly obtained from an analysis at the quark-gluon level to the N(c)-scaling of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Belitsky , T. D. Cohen

State-of-the-art lattice QCD studies of hot and dense strongly interacting matter currently rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on…

High Energy Physics - Lattice · Physics 2022-04-06 Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Attila Pasztor , Chik Him Wong

This contribution presents a brief summary of the recent past efforts to experimentally explore the QCD phase diagram at high baryon chemical potentials through heavy-ion collisions. A few measurements are highlighted to present the current…

Nuclear Experiment · Physics 2020-12-30 J. D. Brandenburg

We review the equation of state of QCD matter at finite densities. We discuss the construction of the equation of state with net baryon number, electric charge, and strangeness using the results of lattice QCD simulations and hadron…

Nuclear Theory · Physics 2021-04-21 Akihiko Monnai , Björn Schenke , Chun Shen

This paper explores properties of baryons and finite density baryonic matter in an artificial world in which Nc, the number of colors, is large and the quarks of all species are degenerate and much larger than {\Lambda}_QCD. It has long…

Nuclear Theory · Physics 2015-03-18 Thomas D. Cohen , Nilay Kumar , Kamal K. Ndousse

We consider large N gauge theory on a two dimensional lattice in the presence of a baryonic chemical potential. We work with one copy of naive fermion and argue that reduction holds even in the presence of a chemical potential. Analytical…

High Energy Physics - Lattice · Physics 2009-11-18 Richard Galvez , Ari Hietanen , Rajamani Narayanan

A quasiparticle model of the quark-gluon plasma is compared with lattice QCD data for purely imaginary chemical potential. Net quark number density, susceptibility as well as the deconfinement border line in the phase diagram of strongly…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Bluhm , B. Kampfer

Lattice QCD with heavy quarks reduces to a three-dimensional effective theory of Polyakov loops, which is amenable to series expansion methods. We analyse the effective theory in the cold and dense regime for a general number of colours,…

High Energy Physics - Lattice · Physics 2020-01-08 Owe Philipsen , Jonas Scheunert

Two ideas have greatly contributed to our understanding of baryon structure in the framework of Quantum Chromodynamics (QCD). The first, chiral symmetry, received its fundamental justification from QCD and has been developed into the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Thomas D. Cohen

We review the current status and present open challenges of large $N_c$ QCD baryon spectroscopy. After introducing the $1/N_c$ expansion method we first shortly revisit the latest achievements for the ground state properties. Next we…

High Energy Physics - Phenomenology · Physics 2015-06-19 N. Matagne , Fl. Stancu