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The importance of the spectral density of the Dirac operator in studying spontaneous chiral symmetry breaking and anomalous U(1) axial symmetry breaking are reviewed. It is shown that both types of symmetry breaking can be traced to effects…

Nuclear Theory · Physics 2007-05-23 Thomas D. Cohen

We present a phase diagram study of the O(4) model as an effective theory for 2-flavor QCD. In the chiral limit, both theories perform spontaneous symmetry breaking with isomorphic groups, which suggests that they belong to the same…

Using an integration formula recently derived by Conrey, Farmer and Zirnbauer, we calculate the expectation value of the phase factor of the fermion determinant for the staggered lattice QCD action in one dimension. We show that the…

High Energy Physics - Theory · Physics 2008-11-26 L. Ravagli , J. J. M. Verbaarschot

We present a method of simulating lattice QCD at nonzero chemical potential in the chiral limit. By adding a weak four-fermi interaction to the standard staggered fermion SU(3) QCD action, we produce an algorithm in which the limit of…

High Energy Physics - Lattice · Physics 2009-10-28 I. M. Barbour , S. E. Morrison , John B. Kogut

While pure Yang-Mills theory feature the centre symmetry, this symmetry is explicitly broken by the presence of dynamical matter. We study the impact of the centre symmetry in such QCD-like theories. In the analytically solvable Schwinger…

High Energy Physics - Lattice · Physics 2012-02-07 Kurt Langfeld , Andreas Wipf

We investigate baryon number fluctuations for finite temperature and density in two-flavor QCD. This is done within a QCD-improved low-energy effective theory in an extension of the approach put forward in [1,2]. In the present work we aim…

High Energy Physics - Phenomenology · Physics 2017-01-04 Wei-jie Fu , Jan M. Pawlowski , Fabian Rennecke , Bernd-Jochen Schaefer

At sufficiently high temperature and density, quantum chromodynamics (QCD) is expected to undergo a phase transition from the confined phase to the quark-gluon plasma phase. In the Lagrangian lattice formulation the Monte Carlo method works…

High Energy Physics - Lattice · Physics 2009-10-31 E. B. Gregory , S. Guo , H. Kroger , Xiang-Qian Luo

We use 2-color QCD as a model to study the effects of simultaneous presence of the so-called $\theta$ parameter, chemical potentials for baryon number, $\mu_B$ and for isospin charge, $\mu_I$. We pay special attention to $\theta$, $\mu_B$,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Max A. Metlitski , Ariel R. Zhitnitsky

We discuss the sign problem in QCD at nonzero chemical potential and its relation with chiral symmetry breaking and the spectrum of the Dirac operator using the framework of chiral random matrix theory. We show that the Banks-Casher formula…

High Energy Physics - Theory · Physics 2009-01-06 K. Splittorff , J. J. M. Verbaarschot

Lattice QCD simulations have shown unequivocally that the transition from hadrons to quarks and gluons is a crossover when the baryon chemical potential is zero or small. Many model calculations predict the existence of a critical point at…

Nuclear Theory · Physics 2022-08-17 J. I. Kapusta , C. Plumberg , T. Welle

QCD with three degenerate quark flavours at zero baryon density exhibits a first order thermal phase transition for small quark masses, which changes to a smooth crossover for some critical quark mass m^c_0, i.e. the chiral critical point.…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Owe Philipsen

Recently, a non-Hermitian chiral random matrix model was proposed to describe the eigenvalues of the QCD Dirac operator at nonzero chemical potential. This matrix model can be constructed from QCD by mapping it to an equivalent matrix model…

High Energy Physics - Lattice · Physics 2009-11-10 G. Akemann , T. Wettig

We investigate the chiral phase transition in the soft-wall model of AdS/QCD at zero chemical potential for two-flavor and three-flavor cases, respectively. We show that there is no spontaneous chiral symmetry breaking in the original…

High Energy Physics - Phenomenology · Physics 2016-05-04 Kaddour Chelabi , Zhen Fang , Mei Huang , Danning Li , Yue-Liang Wu

The chiral crossover of QCD at finite temperature and vanishing baryon density turns into a second order phase transition if lighter than physical quark masses are considered. If this transition occurs sufficiently close to the physical…

We calculate thermodynamic potentials and their derivatives for the three-dimensional $O(2)$ model using tensor-network methods to investigate the well-known second-order phase transition. We also consider the model at non-zero chemical…

High Energy Physics - Lattice · Physics 2021-11-30 Jacques Bloch , Raghav G. Jha , Robert Lohmayer , Maximilian Meister

As an extension of $QCD$, consider a theory with ``$2+1$'' flavors, where the current quark masses are held in a fixed ratio as the overall scale of the quark masses is varied. At nonzero temperature and baryon density it is expected that…

High Energy Physics - Phenomenology · Physics 2009-12-30 S. Gavin , A. Gocksch , R. D. Pisarski

The phase structure of two-color QCD is examined as a function of the chemical potential and the number of light quark flavors. We consider effective Lagrangians for two-color QCD containing the Goldstone excitations, spin-one particles and…

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

Superconductor based quantum computing has the major drawback of working temperatures which require liquid helium for cooling. A promising approach to overcome this obstacle for quantum technologies is based on deep level defects in…

Materials Science · Physics 2019-06-19 Michael Schöler , Maximilian W. Lederer , Philipp Schuh , Peter J. Wellmann

I propose a controlled approximation to QCD-like theories with massless quarks by employing supersymmetric QCD perturbed by anomaly-mediated supersymmetry breaking. They have identical massless particle contents. Thanks to the…

High Energy Physics - Theory · Physics 2021-06-30 Hitoshi Murayama

The order of the thermal chiral phase transition in lattice QCD is known to be strongly cutoff-dependent. A previous study using $N_\mathrm{f}\in[2,6]$ mass-degenerate, unimproved staggered quark flavours on $N_\tau\in\{4,6,8\}$ lattices…

High Energy Physics - Lattice · Physics 2025-12-18 Alfredo D'Ambrosio , Michael Fromm , Reinhold Kaiser , Owe Philipsen
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