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A methodology is given to test the QCD $N_f$=2 chiral transition, presently conjectured to be second order. Scaling forms for the correlation length, susceptibilities and equation of state are given which account for finite lattice spacing.…

High Energy Physics - Phenomenology · Physics 2015-06-25 Arjun Berera

We investigate to which extent we can exploit the dependence of the order of the chiral transition on the number of light degenerate flavors $N_\text{f}$, re-interpreted as continuous parameter in the path integral formulation, as a means…

High Energy Physics - Lattice · Physics 2018-11-12 Francesca Cuteri , Owe Philipsen , Alessandro Sciarra

We introduce a random matrix model with the symmetries of QCD at finite temperature and chemical potentials for baryon number and isospin. We analyze the phase diagram of this model in the chemical potential plane for different temperatures…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Klein , D. Toublan , J. J. M. Verbaarschot

We investigate the finite-temperature and -density chiral Gross-Neveu model with an axial U$_A$(1) symmetry in $1+1$ dimensions on the lattice. In the limit where the number of flavors $N_\mathrm{f}$ tends to infinity the continuum model…

High Energy Physics - Lattice · Physics 2022-03-03 Julian J. Lenz , Michael Mandl , Andreas Wipf

In mean field approximation, we study a chiral soliton of the linear sigma model with two flavors at finite temperature and density. The stable soliton solutions are calculated with some appropriate boundary conditions. Energy and radius of…

High Energy Physics - Phenomenology · Physics 2013-09-06 Hong Mao , Tianzhen Wei , Jinshuang Jin

We study patterns of chiral symmetry breaking at zero temperature and its subsequent restoration at nonzero temperature within the $SU(3)_{r} \times SU(3)_{\ell}$ linear sigma model. Gap equations for the masses of the scalar and…

Nuclear Theory · Physics 2011-07-19 J. T. Lenaghan , D. H. Rischke , J. Schaffner-Bielich

We employ non-perturbative flow equations to compute the equation of state for two flavor QCD within an effective quark meson model. This yields the temperature and quark mass dependence of quantities like the chiral condensate or the pion…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Berges

We propose a new way of understanding how chiral symmetry is realized in the high temperature phase of QCD. Based on the finding that a simple free instanton gas precisely describes the details of the lowest part of the spectrum of the…

High Energy Physics - Lattice · Physics 2024-05-24 Tamas G. Kovacs

The topological Lifshitz phase transition is studied systematically within an effective model of QCD, in which the chiral symmetry, broken at zero temperature, is not restored at high temperature and/or baryon chemical potential. It is…

High Energy Physics - Phenomenology · Physics 2013-12-02 Tran Huu Phat , Phung Thi Thu Ha , Nguyen Tuan Anh

We review the results of a phenomenological model for cold and dense nuclear matter exhibiting a chiral phase transition. The idea is to model the quark-hadron phase transition under neutron star conditions within a single model, but…

Nuclear Theory · Physics 2022-11-30 Eduardo S. Fraga , Rodrigo da Mata , Savvas Pitsinigkos , Andreas Schmitt

We discuss the interplay between chiral and center sector phase transitions that occur in QCD with an imaginary quark chemical potential $\mu=i(2n+1) \pi T/3$. Based on a finite size scaling analysis in (2+1)-flavor QCD using HISQ fermions…

High Energy Physics - Lattice · Physics 2022-08-17 F. Cuteri , J. Goswami , F. Karsch , Anirban Lahiri , M. Neumann , O. Philipsen , Christian Schmidt , A. Sciarra

We use the linear sigma model coupled to quarks to explore the location of the phase transition lines in the QCD phase diagram from the point of view of chiral symmetry restoration at high temperature and baryon chemical potential. We…

High Energy Physics - Phenomenology · Physics 2020-03-18 Alejandro Ayala , Luis A. Hernandez , Marcelo Loewe , J. C. Rojas , Renato Zamora

We determine the topological susceptibility $ \chi_t $ in the trivial topological sector generated by lattice simulations of two-flavor QCD with overlap Dirac fermion, on a $16^3 \times 32$ lattice with lattice spacing $\sim$ 0.12 fm, at…

High Energy Physics - Lattice · Physics 2011-02-16 T. W. Chiu , S. Aoki , H. Fukaya , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , K. Ogawa , T. Onogi , N. Yamada

We combine the recently introduced Non-Abelian Quasi-Particle Model (NAQPM) for gluons with an ideal Fermi gas of three quark species with the aim to describe the equation of state (energy density vs. temperature) of $2+1$ - flavour…

High Energy Physics - Phenomenology · Physics 2025-12-09 Eleftherios P. Politis , Antonis Tsapalis , Fotios K. Diakonos

We develop a chiral anomalous fermion hamiltonian proposal to study the higher order topological (HOT) phase with chiral symmetry $\mathcal{C}$ fractionalized like $\mathcal{C}_{x}\mathcal{C}_{y}\mathcal{C}_{z}$. First, we solve the…

Mesoscale and Nanoscale Physics · Physics 2022-11-07 L. B. Drissi , S. Lounis , E. H. Saidi

We perform a lattice study of the ($2+1$)-dimensional Gross-Neveu model in a background magnetic field $B$ and at non-zero chemical potential $\mu$. The complex-action problem arising in our simulations using overlap fermions is under…

High Energy Physics - Lattice · Physics 2023-10-16 Julian J. Lenz , Michael Mandl , Andreas Wipf

We study the chemical potential effects on the chiral phase transition in a simply improved soft-wall AdS/QCD model, which can realize consistently the properties of linear confinement and spontaneous chiral symmetry breaking. The $\mu-T$…

High Energy Physics - Phenomenology · Physics 2019-03-06 Zhen Fang , Yue-Liang Wu , Lin Zhang

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

We study scaling behavior of a chiral order parameter performing a simulation of two-flavor QCD with improved Wilson quarks. It has been shown that the scaling behavior of the chiral order parameter defined by a Ward-Takahashi identity…

High Energy Physics - Lattice · Physics 2015-03-18 S. Ejiri , Y. Nakagawa , S. Aoki , K. Kanaya , H. Ohno , H. Saito , T. Hatsuda , Y. Maezawa , T. Umeda

The phase structure of QCD with various number of flavors is studied for Wilson quarks. For the case of $N_F=3$ we find that the finite temperature deconfining transition is of first order in the chiral limit on an $N_t=4$ lattice. Together…

High Energy Physics - Lattice · Physics 2016-08-14 Y. Iwasaki , K. Kanaya , S. Sakai , T. Yoshié
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