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We investigate the properties of QCD axion at low temperature and moderate density in the Nambu-Jona-Lasinio model with instanton induced interactions by simultaneously considering the scalar and pseudo-scalar condensates in both…

High Energy Physics - Phenomenology · Physics 2025-01-22 Zhao Zhang , Wenhao Zhao

The properties of the QCD partition function at finite chemical potential are studied within the instanton liquid model. It is shown that the density dependence of the quark-induced instanton-antiinstanton (I-A) interaction leads to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Rapp

We discuss the role of the U(1) axial symmetry for the phase structure of QCD at finite temperature. We expect that, above a certain critical temperature, also the U(1) axial symmetry will be (effectively) restored. We will try to see if…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Marchi , E. Meggiolaro

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 describe aspects of the role that diquark correlations play in understanding baryon structure and interactions. The significance of diquarks in that application motivates a study of the possibility that dense hadronic matter may exhibit…

Nuclear Theory · Physics 2010-03-04 M. B. Hecht , C. D. Roberts , S. M. Schmidt

The effect of perturbative QCD interactions on the high energy scattering of electroweak vector bosons, when the exchanged channel has pion quantum numbers, is considered. The chiral anomaly is shown to appear in the couplings of particular…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alan R. White

We investigate the effect of strange quark degrees of freedom on the formation of inhomogeneous chiral condensates in a three-flavor Nambu--Jona-Lasinio model in mean-field approximation. A Ginzburg-Landau study complemented by a stability…

High Energy Physics - Phenomenology · Physics 2020-02-11 Stefano Carignano , Michael Buballa

It is believed that there exists a rich phase structure of quantum chromodynamics (QCD) at finite temperature and baryon density, namely, the deconfinement process from hadron gas to quark-gluon plasma, the transition from chiral symmetry…

Nuclear Theory · Physics 2013-07-09 Rafael Cavagnoli , Debora P. Menezes , Constança Providência

Masses of positive-parity and negative-parity diquarks are investigated at finite temperature with a quark chemical potential. We employ the three-flavor Nambu-Jona-Lasinio model, in order to delineate chiral properties of the diquarks, in…

High Energy Physics - Phenomenology · Physics 2023-07-26 Daiki Suenaga , Makoto Oka

Despite recent advancements in the study and understanding of the phase diagram of strongly interacting matter, the region of high baryonic densities and low temperatures has remained difficult to reach in the lab. Things are expected to…

Nuclear Theory · Physics 2017-06-28 Vivian de la Incera

I review some aspects of the interplay between anomalies and chiral symmetry. The quantum anomaly that breaks the U(1) axial symmetry of massless QCD leaves behind a flavor-singlet discrete chiral invariance. When the mass is turned on this…

High Energy Physics - Phenomenology · Physics 2009-11-19 Michael Creutz

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 investigate the combined effects of rotation and finite quark chemical potential on inhomogeneous chiral condensation and the chiral phase diagram within the soft-wall holographic QCD model. Using the five-dimensional AdS-RN metric, we…

High Energy Physics - Phenomenology · Physics 2026-04-14 D. -Y. Long , S. -Q. Feng

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 finite density QCD in an approximation in which the interaction between quarks is modelled on that induced by instantons. We sketch the mechanism by which chiral symmetry restoration at finite density occurs in this model. At all…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Alford , K. Rajagopal , F. Wilczek

The QCD phase transition is studied on $16^3$ and $32^3 \times 4$ lattices both with and without quark loops. We introduce a new zero-flavor or quenched species of quark $\zeta$ and study the resulting chiral condensate, $\azbz$ as a…

High Energy Physics - Lattice · Physics 2009-10-28 Shailesh Chandrasekharan , Norman Christ

We discuss in this note simultaneous existence of chiral symmetry breaking and color superconductivity at finite temperature and density in a Nambu-Jona-Lasinio type model. The methodology involves an explicit construction of a variational…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hiranmaya Mishra , Jitendra C. Parikh

We investigate the Dirac eigenvalue spectrum ($\rho(\lambda,m_l)$) to study the microscopic origin of axial anomaly in high temperature phase of QCD. We propose novel relations between the derivatives ($\partial^n \rho(\lambda,m_l)/\partial…

High Energy Physics - Lattice · Physics 2021-12-08 Heng-Tong Ding , Sheng-Tai Li , Swagato Mukherjee , Akio Tomiya , Xiao-Dan Wang , Yu Zhang

The relation between the spectral density of the QCD Dirac operator at nonzero baryon chemical potential and the chiral condensate is investigated. We use the analytical result for the eigenvalue density in the microscopic regime which…

High Energy Physics - Theory · Physics 2009-11-11 J. C. Osborn , K. Splittorff , J. J. M. Verbaarschot

We will report recent progress on the QCD phase diagram at finite temperature and density. In particular, we discuss the universal scaling of the chiral transition in the limit of two massless quarks and one strange quark. We also discuss…

High Energy Physics - Lattice · Physics 2025-04-02 Christian Schmidt