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We analyze quark condensates and chiral (scalar) susceptibilities including isospin breaking effects at finite temperature $T$. These include $m_u\neq m_d$ contributions as well as electromagnetic ($e\neq 0$) corrections, both treated in a…

High Energy Physics - Phenomenology · Physics 2011-04-22 A. Gomez Nicola , R. Torres Andres

We compare analytic predictions of non-Hermitian chiral random matrix theory with the complex Dirac operator eigenvalue spectrum of two-colour lattice gauge theory with dynamical fermions at nonzero chemical potential. The Dirac eigenvalues…

High Energy Physics - Lattice · Physics 2009-11-11 G. Akemann , E. Bittner

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

We have simulated two-colour four-flavour QCD at non-zero chemical potential $\mu$ for quark number. Simulations were performed on $8^4$ and $12^3 \times 24$ lattices. Clear evidence was seen for the formation of a colourless diquark…

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

We employ a new self-consistent mean field approximation of NJL model, which introduces a free parameter $\alpha$ ($\alpha$ reflects the weight of different interaction channels), to study the effects of the chiral chemical potential…

Nuclear Theory · Physics 2019-11-20 Li-Kang Yang , Xiaofeng Luo , Hong-Shi Zong

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

Lattice QCD with staggered quarks is augmented by the addition of a chiral 4-fermion interaction. The Dirac operator is now non-singular at $m_q=0$, decreasing the computing requirements for light quark simulations by at least an order of…

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

We reconsider constraints on the eigenvalue density of the Dirac operator in the chiral symmetric phase of 2 flavor QCD at finite temperature. To avoid possible ultra-violet(UV) divergences, we work on a lattice, employing the overlap Dirac…

High Energy Physics - Lattice · Physics 2013-05-30 Sinya Aoki , Hidenori Fukaya , Yusuke Taniguchi

We find that the chiral phase transition (chiral crossover) in QCD at physical point is triggered by big imbalance among three fundamental quantities essential for the QCD vacuum structure: susceptibility functions for the chiral symmetry,…

High Energy Physics - Phenomenology · Physics 2022-06-22 Chuan-Xin Cui , Jin-Yang Li , Shinya Matsuzaki , Mamiya Kawaguchi , Akio Tomiya

Dynamical chiral symmetry breaking is a nonperturbative phenomenon that may be studied using QCD's gap equation. Model-independent results can be obtained with a nonperturbative and symmetry preserving truncation. The gap equation yields…

Nuclear Theory · Physics 2017-08-23 C. D. Roberts

We derive exact constraints relating QCD at nonzero baryon chemical potential and temperature to QCD at nonzero isospin chemical potential and temperature, a theory which can be simulated by conventional methods. These results challenge the…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Toublan , J. B. Kogut

Three dimensional Dirac semimetals are stable against weak potential disorder, but not against strong disorder. In the language of renormalization group, such stability stems from the irrelevance of weak disorder in the vicinity of the…

Disordered Systems and Neural Networks · Physics 2015-01-08 Bitan Roy , S. Das Sarma

In QCD with two flavors of massless quarks, the chiral phase transition is plausibly in the same universality class as the classical four component Heisenberg antiferromagnet. Therefore, renormalization group techniques developed in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Rajagopal , F. Wilczek

The phase diagram of QCD at finite temperature and density is discussed. Large numbers of quark colors, $N_{\rm c} >> 1$, is used to explain generic features of the phase diagram. For temperatures below $ T \le 160$~MeV at zero baryon…

High Energy Physics - Phenomenology · Physics 2026-04-07 Larry McLerran

The chemical potential ($\mu$) dependence of the topological susceptibility with two-color two-flavor QCD is studied. We find that at temperature $T \approx T_c /2$, where $T_c$ denotes the critical temperature at zero chemical potential,…

High Energy Physics - Lattice · Physics 2018-12-05 Etsuko Itou , Kei Iida , Tong-Gyu Lee

Two different matrix models for QCD with a non-vanishing quark chemical potential are shown to be equivalent by mapping the corresponding partition functions. The equivalence holds in the phase with broken chiral symmetry. It is exact in…

High Energy Physics - Theory · Physics 2007-05-23 G. Akemann

In a sector of fixed topological charge, the chiral condensate has a discontinuity given by the Banks-Casher formula also in the case of one-flavor QCD. However, at fixed \theta-angle, the chiral condensate remains constant when the quark…

High Energy Physics - Lattice · Physics 2014-12-18 Jacobus Verbaarschot , Tilo Wettig

The chiral phase transition in QCD can be supercooled in the thermal history of the universe to be instantaneously out-of equilibrium, if QCD is coupled to a dark QCD sector exhibiting the dark chiral phase transition of the first order. In…

High Energy Physics - Phenomenology · Physics 2024-08-28 Jimin Wang , Xin-Ru Wang , Shinya Matsuzaki

The finite temperature phase diagram of QCD with two massless quark flavors is not yet understood because of the subtle effects of anomalous $U_A(1)$ symmetry. In this work we address this issue by studying the fate of the anomalous…

High Energy Physics - Lattice · Physics 2021-12-07 Olaf Kaczmarek , Lukas Mazur , Sayantan Sharma

Using lattice simulations, we show that there is a phase of thermal QCD, where the spectral density $\rho(\lambda)$ of Dirac operator changes as $1/\lambda$ for the infrared eigenvalues $\lambda<T$. This behavior persists over the entire…

High Energy Physics - Lattice · Physics 2019-11-27 Andrei Alexandru , Ivan Horváth