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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

In the present work, higher-order mesonic interactions are included in the linear sigma model at a finite temperature. The effective potential is minimized in the calculations of the sigma and pion effective masses. The field equations have…

High Energy Physics - Phenomenology · Physics 2013-11-11 M. Abu-Shady , H. Mansour

We analyze the phase diagram of compact QED on the torus with a chirally symmetric four fermion interaction added to the usual Wilson action. Inside a mean field approximation for the four fermion term, a line of first order phase…

High Energy Physics - Lattice · Physics 2016-09-01 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Aurelio Grillo , Victor Laliena

In this work we present the results from numerical simulations of an interacting ensemble of instanton-dyons in the $SU(3)$ gauge group with $N_f=2$ flavors of massless quarks. Dynamical quarks are included via the effective interactions…

High Energy Physics - Phenomenology · Physics 2021-12-01 Dallas DeMartini , Edward Shuryak

The chiral condensate, which is constant in vacuum, may become spatially modulated at moderately high densities where in the traditional picture of the QCD phase diagram a first-order chiral phase transition occurs. We review the current…

High Energy Physics - Phenomenology · Physics 2015-06-19 Michael Buballa , Stefano Carignano

A brief introduction is given to the concept of the effective average action. Its dependence on the averaging or coarse graining scale is governed by an exact RG equation for which nonperturbative approximation schemes are described. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. -U. Jungnickel

The mass sensitivity of the chiral phase transition of QCD with and without axial $U_A(1)$-symmetry breaking at vanishing and finite quark chemical potential is investigated. To focus on the low-energy sector of QCD, a quark-meson model…

High Energy Physics - Phenomenology · Physics 2019-04-17 Simon Resch , Fabian Rennecke , Bernd-Jochen Schaefer

The order of the chiral phase transition of lattice QCD with unimproved staggered fermions is known to depend on the number of quark flavours, their masses and the lattice spacing. Previous studies in the literature for $N_f \in \{ 3,4 \}$…

High Energy Physics - Lattice · Physics 2021-12-21 Francesca Cuteri , Alfredo D'Ambrosio , Owe Philipsen , Alessandro Sciarra

Recent experiments on a one-dimensional chain of trapped alkali atoms [arXiv:1707.04344] have observed a quantum transition associated with the onset of period-3 ordering of pumped Rydberg states. This spontaneous $\mathbb{Z}_3$ symmetry…

Strongly Correlated Electrons · Physics 2018-08-14 Rhine Samajdar , Soonwon Choi , Hannes Pichler , Mikhail D. Lukin , Subir Sachdev

A mean field analysis of finite density QCD is presented including the effects of additional chiral invariant four-fermion interactions. A lattice regularization is used with N_f=4 flavors of staggered fermions. The use of the four-fermion…

High Energy Physics - Lattice · Physics 2016-09-01 Michael Chavel

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 present updated results on chiral phase structure in (2+1)-flavor ($N_f$=2+1) and 3-flavor ($N_f=3$) QCD based on the simulations using Highly Improved Staggered Quarks on lattices with temporal extent $N_\tau$ =6 at vanishing baryon…

High Energy Physics - Lattice · Physics 2019-08-14 Heng-Tong Ding , Prasad Hegde

We study the qualitative features of the QCD phase diagram in the context of the linear quark-meson model with two flavours, using the exact renormalization group. We identify the universality classes of the second-order phase transitions…

High Energy Physics - Theory · Physics 2010-04-05 N. Tetradis

We study QCD with two colors and quarks in the fundamental representation at finite baryon density in the limit of light quark masses. In this limit the free energy of this theory reduces to the free energy of a chiral Lagrangian which is…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Splittorff , D. Toublan , J. J. M. Verbaarschot

We propose direct tests of very high energy first-order phase transitions, which are elusive to collider physics, deploying the gravitational waves measurements. We show that first-order phase transitions lying into a large window of…

High Energy Physics - Phenomenology · Physics 2019-05-09 Andrea Addazi , Antonino Marciano , Roman Pasechnik

The phase transition from hadronic matter to chirally-symmetric quark-gluon plasma is expected to be a rapid crossover at zero quark chemical potential ($\mu$), becoming first order at some finite value of $\mu$, indicating the presence of…

High Energy Physics - Phenomenology · Physics 2018-04-25 Sean P. Bartz , Theodore Jacobson

The influence of a constant magnetic field on the order parameter of the four-dimensional Nambu and Jona-Lasinio model extended by the 't Hooft six-quark term and eight-quark interactions is considered. It is shown that the multi-quark…

High Energy Physics - Phenomenology · Physics 2009-10-14 A. A. Osipov , B. Hiller , A. H. Blin , J. da Providencia

We present studies of universal properties of the chiral phase transition in $N_f$=2+1 QCD based on the simulations using Highly Improved Staggered fermions on lattices with temporal extent $N_\tau$=6. We analyze the quark mass and volume…

High Energy Physics - Lattice · Physics 2013-12-03 H. -T. Ding , A. Bazavov , F. Karsch , Y. Maezawa , Swagato Mukherjee , P. Petreczky

The finite temperature QCD transition for physical quark masses is a crossover. For smaller quark masses a first-order phase transition is expected. Using Symanzik improved gauge and stout improved fermion action for 2+1 flavour staggered…

High Energy Physics - Lattice · Physics 2008-11-26 G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

Solutions of hydrodynamical equations are presented for the equation of state of the Var der Waals type allowing for the first order phase transition. Attention is focused on description of the hadron-quark phase transition in heavy ion…

Nuclear Theory · Physics 2009-11-10 V. V. Skokov , D. N. Voskresensky
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