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We summarize recent results obtained in the Dyson-Schwinger formalism to study the chiral and deconfinement phase transitions of quenched and unquenched QCD at finite temperature and chemical potential. In the quenched case we compare SU(2)…

High Energy Physics - Phenomenology · Physics 2015-06-03 Jan Luecker , Christian S. Fischer

Possible manifestation of a dual chiral density wave in quark matter is discussed in relation to the chiral symmetry of QCD, which is described by a dual standing wave of the scalar and pseudo-scalar densities. It is demonstrated that quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Tatsumi , E. Nakano

In this paper, we study two-color, two-flavor QCD using chiral perturbation theory at next-to-leading order when the diquark chemical potential ($\mu_{B}$) is equal to the isospin chemical potential ($\mu_{I}$). For chemical potentials…

High Energy Physics - Phenomenology · Physics 2020-10-21 Prabal Adhikari , Huy Nguyen

We explore a possible phase where chiral $SU(2)_L \times SU(2)_R$ symmetry is spontaneously broken while its center $Z_2$ symmetry remains unbroken and its consequence on thermal quantities. In this phase, chiral symmetry breaking is driven…

High Energy Physics - Phenomenology · Physics 2010-02-04 M. Harada , C. Sasaki , S. Takemoto

We study the interplay between chiral and diquark condensates within the framework of the Ginzburg-Landau free energy, and classify possible phase structures of two and three-flavor massless QCD. The QCD axial anomaly acts as an external…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tetsuo Hatsuda , Motoi Tachibana , Naoki Yamamoto , Gordon Baym

The effect of color screening on the formation of a heavy quark-antiquark ($Q\bar{Q}$) bound state--such as the $J/\psi$ meson--is studied using a constituent-quark model. The response of the nuclear medium to the addition of two color…

Nuclear Theory · Physics 2014-11-18 G. Toledo Sanchez , J. Piekarewicz

We discuss chiral separation effect in the systems with spatial non - homogeneity. It may be caused by non - uniform electric potential or by another reasons, which do not, however, break chiral symmetry of an effective low energy theory.…

High Energy Physics - Theory · Physics 2020-11-04 M. Suleymanov , M. A. Zubkov

We present a strategy to study QCD non-perturbatively on the lattice at very high temperatures. This strategy exploits a non-perturbative, finite-volume, definition of the strong coupling constant to renormalize the theory. As a first…

High Energy Physics - Lattice · Physics 2022-12-06 Davide Laudicina , Mattia Dalla Brida , Leonardo Giusti , Tim Harris , Michele Pepe

We discuss the role of an adjoint chiral condensate for color superconducting quark matter. Its presence leads to color-flavor locking in two-flavor quark matter. Color is broken completely as well as chiral symmetry in the two-flavor…

High Energy Physics - Phenomenology · Physics 2010-02-04 J. Berges

We study two $1/N_c$ effects on the meson spectra by using the AdS/CFT correspondence where the $1/N_c$ corrections from the chiral condensate and the quark density are controlled by the gravitational backreaction of the massive scalar…

High Energy Physics - Theory · Physics 2013-05-30 Chanyong Park , Bum-Hoon Lee , Sunyoung Shin

After presenting a brief summary of functional approaches to QCD at vanishing temperatures and densities the application of QCD Green's functions at non-vanishing temperature and vanishing density is discussed. It is pointed out in which…

High Energy Physics - Phenomenology · Physics 2015-03-17 Reinhard Alkofer , Mario Mitter , Bernd-Jochen Schaefer

We reveal that the universal scaling properties of the chiral phase transition in quantum chromodynamics (QCD) at the macroscale are, in fact, encoded within the microscopic energy levels of its fundamental constituents, the quarks. We…

High Energy Physics - Lattice · Physics 2024-01-22 Heng-Tong Ding , Wei-Ping Huang , Swagato Mukherjee , Peter Petreczky

According to quantum chromodynamics (QCD), matter at ultra-high densities will take the form of a color-superconducting quark liquid, in which there is a condensate of Cooper pairs of quarks near the Fermi surface. I present a review of the…

Nuclear Theory · Physics 2008-11-26 Mark Alford

In the $\epsilon$-domain of QCD we have obtained exact analytical expressions for the eigenvalue density of the Dirac operator at fixed $\theta \ne 0$ for both one and two flavors. These results made it possible to explain how the different…

High Energy Physics - Lattice · Physics 2018-07-31 Mario Kieburg , Jacobus Verbaarschot , Tilo Wettig

We employ the two-flavor quark-meson diquark model as a low-energy model for QCD at non-zero quark and isospin chemical potentials $\mu$ and $\mu_I$, and at zero temperature. We map out the phase diagram in the $\mu$-$\mu_I$ plane, which…

High Energy Physics - Phenomenology · Physics 2025-03-31 Jens O. Andersen , Mathias P. Nødtvedt

In this contribution we revisit simulations of two-color QCD with rooted staggered quarks at finite density, where baryon-number spontaneously breaks and a diquark condensate forms. We thereby pay special attention to simulating outside the…

High Energy Physics - Lattice · Physics 2017-01-18 Lukas Holicki , Jonas Wilhelm , Dominik Smith , Björn Wellegehausen , Lorenz von Smekal

In this letter, we investigate the anomalous Hall effect in dense QCD matter. When the dual chiral density wave which is the spatially modulated chiral condensate appears in the medium, it gives rise to two Weyl points to the…

High Energy Physics - Phenomenology · Physics 2018-09-26 Toshitaka Tatsumi , Ryo Yoshiike , Kouji Kashiwa

We attempt to describe the interplay of confinement and chiral symmetry breaking in QCD by using the string model. We argue that in the quasi-abelian picture of confinement based on the condensation of magnetic monopoles and the dual…

High Energy Physics - Phenomenology · Physics 2015-06-19 Dmitri E. Kharzeev , Frasher Loshaj

We present a novel relativistic density-functional approach to modeling quark matter with a mechanism to mimic confinement. The quasiparticle treatment of quarks provides their suppression due to large quark selfenergy already at the…

Nuclear Theory · Physics 2022-04-05 Oleksii Ivanytskyi , David Blaschke , Konstantin Maslov

Recently it has been found that quantum chromodynamics (QCD) phase diagram possesses a duality between chiral symmetry breaking and pion condensation. For the first time this was revealed in the QCD motivated toy model. Then it was…

High Energy Physics - Phenomenology · Physics 2020-05-12 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov