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Related papers: Functional integrals for QCD at nonzero chemical p…

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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

The coupling of spin 0 and spin 1 external fields to Dirac fermions defines a theory which displays gauge chiral symmetry. Quantum mechanically, functional integration of the fermions yields the determinant of the Dirac operator, known as…

High Energy Physics - Theory · Physics 2008-12-18 L. L. Salcedo

I discuss pion and koan condensation and the the properties of the phases of QCD at finite isospin chemical potential $\mu_I$ and strangeness chemical potential $\mu_S$ at zero temperature using three-flavor chiral perturbation theory.…

High Energy Physics - Phenomenology · Physics 2023-01-11 Jens O. Andersen

The Dirac spectrum of QCD with dynamical fermions at nonzero chemical potential is characterized by three regions, a region with a constant eigenvalue density, a region where the eigenvalue density shows oscillations that grow exponentially…

High Energy Physics - Lattice · Physics 2008-11-26 J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We compute derivatives of thermodynamic quantities with respect to $\mu$, at $\mu=0$ for 2 and 3 flavors of degenerate quark masses. This allows us to estimate the phase transition line in the $T,\mu$ plane and quantify the influence of a…

High Energy Physics - Lattice · Physics 2017-08-23 C. Schmidt

Systems of non-zero isospin chemical potential are studied from a canonical approach by computing correlation functions with the quantum numbers of $N \pi^+$'s ($C_{N \pi}$). In order to reduce the number of contractions required in…

High Energy Physics - Lattice · Physics 2015-06-12 Zhifeng Shi

We discuss the QCD phase structure at finite temperature and chemical potential for $2$-flavour and $2+1$-flavour QCD. The results are achieved by computing QCD correlation functions within a generalised functional approach that combines…

High Energy Physics - Phenomenology · Physics 2021-05-14 Fei Gao , Jan M. Pawlowski

We investigate the QCD phase diagram as a function of isospin chemical potential at a fixed temperature by directly putting large numbers of \pi^+s into the system. Correlation functions of N \pi^+s systems involves N!N! contractions, and…

High Energy Physics - Lattice · Physics 2012-02-15 Zhifeng Shi , William Detmold

We explore the phase diagram of SU(2) Lattice Gauge Theory with dynamical fermions in the temperature, mass, chemical potential space. We observe qualitative changes of the dependence of the particle density on $\mu$ and $T$, which is…

High Energy Physics - Lattice · Physics 2007-05-23 M. -P. Lombardo

Consider the Euclidean functional integral representation of any physical process in the electroweak model. Integrating out the fermion degrees of freedom introduces twenty-four fermion determinants. These multiply the Gaussian functional…

High Energy Physics - Theory · Physics 2015-05-20 M. P. Fry

We investigate chemical-potential (\mu) dependence of static-quark free energies in both the real and imaginary \mu regions, performing lattice QCD simulations at imaginary \mu and extrapolating the results to the real \mu region with…

High Energy Physics - Lattice · Physics 2013-12-16 Junichi Takahashi , Keitaro Nagata , Takuya Saito , Atsushi Nakamura , Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro

We consider 3-flavour lattice QCD with a finite chemical potential mu_I for isospin, close to the finite temperature transition from hadronic matter to a quark-gluon plasma. In this region one can argue that the position and probably the…

High Energy Physics - Lattice · Physics 2014-11-17 D. K. Sinclair , J. B. Kogut

We discuss phase transitions in relativistic systems as a function of both chemical potential and temperature. The presence of a chemical potential explicitly breaks Lorentz invariance and may additionally break other internal symmetries.…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Splittorff , J. T. Lenaghan , J. Wirstam

We determine the equation of state of QCD for nonzero chemical potentials via a Taylor expansion of the pressure. The results are obtained for N_f=2+1 flavors of quarks with physical masses, on various lattice spacings. We present results…

High Energy Physics - Lattice · Physics 2015-06-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , S. Krieg , C. Ratti , K. K. Szabo

We investigate the QCD phase diagram for small values of baryon and strange quark chemical potentials from simulations at non-zero isospin chemical potential. Simulations at pure isospin chemical potential are not hindered by the sign…

High Energy Physics - Lattice · Physics 2019-11-28 Bastian B. Brandt , Francesca Cuteri , Gergely Endrodi , Sebastian Schmalzbauer

In quantum chromodynamics (QCD) at nonzero chemical potential, the eigenvalues of the Dirac operator are scattered in the complex plane. Can the fluctuation properties of the Dirac spectrum be described by universal predictions of…

High Energy Physics - Lattice · Physics 2009-10-31 H. Markum , R. Pullirsch , T. Wettig

A dimensionally reduced expression for the QCD fermion determinant at finite temperature and chemical potential is derived which sheds light on the determinant's dependence on these quantities. This is done via a partial zeta…

High Energy Physics - Theory · Physics 2009-11-10 David H. Adams

We summarize our recent results on the phase diagram of QCD with N_f=2+1 quark flavors, as a function of temperature T and quark chemical potential \mu. Using staggered fermions, lattices with temporal extent N_t=4, and the exact RHMC…

High Energy Physics - Lattice · Physics 2009-04-14 Philippe de Forcrand , Owe Philipsen

The propagation of low-momentum baryons through QCD matter at low isospin density is studied using chiral perturbation theory. When the isospin chemical potential exceeds a critical value, the dispersion relation for the lowest nucleon mode…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael C. Birse , Thomas D. Cohen , Judith A. McGovern

We design a lattice model of a "mixed" U(1) gauge field coupled to fermions with a flavor chemical potential and solve it with large-scale determinant quantum Monte Carlo simulations, For zero flavor chemical potential, the model realizes…

Strongly Correlated Electrons · Physics 2026-05-15 Chuang Chen , Urban F. P. Seifert , Kexin Feng , Oleg A. Starykh , Leon Balents , Zi Yang Meng
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