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It is demonstrated how in the absence of solutions for QCD under conditions deep inside compact stars an equation of state can be obtained within a model that is built on the basic symmetries of the QCD Lagrangian, in particular chiral…

High Energy Astrophysical Phenomena · Physics 2014-10-07 David Blaschke

Recent developments and open issues in chiral dynamics with strange quarks are reviewed. Topics include: Order parameters of chiral symmetry breaking, the flavor dependence of these order parameters, speculations about the phase structure…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ulf-G. Meißner

We reveal that the criticality of the chiral phase transition in QCD at the macroscale arises from the microscopic energy levels of its fundamental constituents, the quarks. We establish a novel relation between cumulants of the chiral…

High Energy Physics - Lattice · Physics 2024-02-28 Heng-Tong Ding , Wei-Ping Huang , Swagato Mukherjee , Peter Petreczky

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 quantum anomaly that breaks the U(1) axial symmetry of massless multi-flavored QCD leaves behind a discrete flavor-singlet chiral invariance. With massive quarks, this residual symmetry has a close connection with the strong…

High Energy Physics - Phenomenology · Physics 2011-07-14 Michael Creutz

Results are presented of a Monte Carlo simulation of a 2+1 dimensional Gross-Neveu model with SU(2)xSU(2) chiral symmetry at non-zero baryon chemical potential, corresponding to non-zero baryon density. The phenomenon of quark pair…

High Energy Physics - Lattice · Physics 2009-10-31 Susan Morrison

A simple holographic model is presented and analyzed that describes chiral symmetry breaking and the physics of the meson sector in QCD. This is a bottom-up model that incorporates string theory ingredients like tachyon condensation which…

High Energy Physics - Phenomenology · Physics 2010-12-09 Ioannis Iatrakis , Elias Kiritsis , Angel Paredes

The chiral anomaly is a fundamental quantum mechanical phenomenon which is of great importance to both particle physics and condensed matter physics alike. In the context of QED it manifests as the breaking of chiral symmetry in the…

Strongly Correlated Electrons · Physics 2021-05-12 Colin Rylands , Alireza Parhizkar , Anton A. Burkov , Victor Galitski

The instanton approach to spontaneous chiral symmetry breaking is reviewed, with emphasis on the connection to chiral random matrix theory. We extend the approach to discuss the finite density, zero-temperature behaviour of quark matter.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gregory W. Carter , Dmitri Diakonov

We use a hadron resonance gas model to calculate the quark-antiquark condensates for light (up and down) and strange quark flavors at finite temperatures and chemical potentials. At zero chemical potentials, we find that at the temperature…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Tawfik , D. Toublan

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

The response of the QCD vacuum to quark chemical potentials on the order of the pion mass is studied within the context of chiral perturbation theory. For two colour QCD diquark condensation sets in when the baryon chemical potential…

High Energy Physics - Lattice · Physics 2007-05-23 K. Splittorff

We study the effects of small chemical potentials associated with the three light quark flavors in QCD. We use a low-energy effective field theory that solely relies on the symmetries of the QCD partition function. We find three different…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. B. Kogut , D. Toublan

We derive the dimensional non-perturbative part of the QCD effective action for scalar and pseudoscalar meson fields by means of chiral and conformal bosonization. The related structural coupling constants L_5 and L_8 of the chiral…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Andrianov , V. A. Andrianov , D. Ebert , Th. Feldmann , .

The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study light mesons. The parameters in the effective interaction are constrained by the chiral condensate and f_\pi; the current quark masses are fitted to…

Nuclear Theory · Physics 2007-05-23 P. Maris

We present a solution to the strong CP problem in which a simple chiral U(1) gauge symmetry gives rise to an accidental Peccei-Quinn symmetry that is both explicitly and spontaneously broken by mirror QCD dynamics, yielding a framework…

High Energy Physics - Phenomenology · Physics 2026-04-29 Hajime Fukuda , Keisuke Harigaya

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

We study the effect of a large magnetic field on the chiral and diquark condensates in a regime of moderately dense quark matter. Our focus is on the inter-dependence of the two condensates through non-perturbative quark mass and strong…

Nuclear Theory · Physics 2009-12-11 Tanumoy Mandal , Prashanth Jaikumar , Sanatan Digal

The chiral phase transition of a hot and dense system of quarks is studied within a modified SU(3) NJL lagrangian that implements the QCD scale anomaly. The u- and s-quark condensates can feel or not the same chiral restoration depending on…

Nuclear Theory · Physics 2009-10-30 J. Cugnon , M. Jaminon , B. Van den Bossche

We investigate the thermal properties of hadrons in two-color quantum chromodynamics (QC$_2$D) using the functional renormalization group (FRG) method, with particular focus on modifications of the $U(1)$ axial anomaly effects. The hadrons…

High Energy Physics - Phenomenology · Physics 2025-12-22 Gergely Fejős , Daiki Suenaga