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Related papers: Chiral transition via the Banks-Casher relation

200 papers

The Banks-Casher relation links the spectral density of the Dirac operator with the existence of a chiral condensate and spontaneous breaking of chiral symmetry. This relation receives corrections from a finite value of the quark mass, a…

High Energy Physics - Lattice · Physics 2013-02-25 S. Necco , A. Shindler

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

We investigate the real-time dynamics of the chiral phase transition in a soft-wall AdS/QCD model, of which the mass plane phase diagram from equilibrium calculation is qualitatively consistent with the so-called Columbia plot. By directly…

High Energy Physics - Phenomenology · Physics 2025-07-30 Han Tang , Bin Dong , Nanxiang Wen , Yidian Chen , Danning Li

We investigate the order of the QCD chiral transition in the limit of vanishing bare up/down quark masses and variations of the bare strange-quark mass $0 \le m_{\mathrm{s}} \le \infty$. In this limit and due to universality long range…

High Energy Physics - Phenomenology · Physics 2024-01-15 Julian Bernhardt , Christian S. Fischer

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

We report on investigations of the chiral and deconfinement aspects of the finite temperature transition in 2+1 flavor QCD using the Highly Improved Staggered Quark (HISQ) action on lattices with temporal extent $N_\tau=6$ and $N_\tau=8$.…

High Energy Physics - Lattice · Physics 2012-01-25 Alexei Bazavov , Peter Petreczky

We determine the chiral phase structure of $2+1$-flavour QCD in dependence of temperature and the light flavour quark mass with Dyson-Schwinger equations. Specifically, we compute the renormalised chiral condensate and its susceptibility.…

High Energy Physics - Phenomenology · Physics 2022-06-01 Fei Gao , Jan M. Pawlowski

We report on investigations of the chiral and deconfinement aspects of the finite temperature transition in 2+1 flavor QCD using the Highly Improved Staggered Quark (HISQ) action on lattices with temporal extent $N_\tau=6$ and $N_\tau=8$.…

High Energy Physics - Lattice · Physics 2014-11-20 Alexei Bazavov , Peter Petreczky

We present a detailed calculation of the transition temperature in QCD with two light and one heavier (strange) quark mass on lattices with temporal extent N_t =4 and 6. Calculations with improved staggered fermions have been performed for…

We show that for small values of the chemical potential the curvature of the phase transition line can be deduced from an analysis of scaling properties of the chiral condensate and its susceptibilities. We make use of a recent analysis of…

High Energy Physics - Lattice · Physics 2010-12-13 Christian Schmidt , Swagato Mukherjee

In this talk we present results on the chiral and the deconfinement transition of quenched QCD from Dyson-Schwinger equations. We determine the ordinary quark condensate signaling the chiral transition and the dual quark condensate…

High Energy Physics - Phenomenology · Physics 2014-11-20 Christian S. Fischer , Jens A. Mueller

The behaviour of the chiral condensate in QCD is investigated by means of a study of the distribution of the zeros of the partition function in the complex quark mass plane. Simulations are performed at fixed temperature on three different…

High Energy Physics - Lattice · Physics 2009-10-22 I. M. Barbour , A. J. Bell , E. G. Klepfish

We study the gauge dependence on the chiral phase transition of Quantum chromodynamics at finite temperature based on the quenched Schwinger-Dyson equation. We first solve the equations without approximations at finite temperature in…

High Energy Physics - Phenomenology · Physics 2016-01-19 Hiroaki Kohyama

QCD with heavy dynamical quarks exhibits a first order thermal transition which is driven by the spontaneous breaking of the global $\mathcal{Z}_3$ center symmetry. Decreasing the quark masses weakens the transition until the corresponding…

High Energy Physics - Lattice · Physics 2021-12-09 Ruben Kara , Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Paolo Parotto , Attila Pasztor , Denes Sexty

The QCD transition is studied on lattices up to $N_t=16$. The chiral condensate is presented as a function of the temperature, and the corresponding transition temperature is extracted. The equation of state is determined on lattices with…

We have simulated lattice QCD directly in the chiral limit of zero quark mass by adding an additional, irrelevant 4-fermion interaction to the standard action. Using lattices having temporal extent of six and spatial extents of twelve and…

High Energy Physics - Lattice · Physics 2009-10-31 J. B. Kogut , D. K. Sinclair

QCD under extreme conditions has been studied for a long time, and the chiral limit has been a grey area mostly. In this write-up of my talk, I review some of the recent developments made by the community to unveil various features of QCD…

High Energy Physics - Lattice · Physics 2021-12-16 Anirban Lahiri

We investigate the static scaling behavior of the chiral condensate near the two-flavor critical point within the framework of the soft-wall AdS/QCD. The scaling functions are extracted from the chiral order parameters and are found to…

High Energy Physics - Phenomenology · Physics 2025-07-31 Zhongzheng Zhang , Danning Li , Lang Yu , Zhibin Li , Xinyang Wang

Chiral phase transition for three-flavor $N_f=2+1$ QCD with $m_u=m_d\neq m_s$ is investigated in a modified soft-wall holographic QCD model. Solving temperature dependent chiral condensates from equations of motion of the modified soft-wall…

High Energy Physics - Phenomenology · Physics 2017-03-08 Danning Li , Mei Huang

We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for…

High Energy Physics - Phenomenology · Physics 2025-06-03 Arpan Chatterjee , Marco Frasca , Anish Ghoshal , Stefan Groote