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Related papers: Anomalous Behavior in the Massive Schwinger Model

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We investigate correlations of the Polyakov loop fluctuations with eigenmodes of the lattice Dirac operator. Their analytic relations are derived on the temporally odd-number size lattice with the normal non-twisted periodic boundary…

High Energy Physics - Lattice · Physics 2015-11-09 Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki , Hideo Suganuma

Using the nonperturbative Schwinger-Dyson equation, we show that chiral symmetry is dynamically broken in QED at weak couplings when an external magnetic field is present, and that chiral symmetry is restored at temperatures above $T_c…

High Energy Physics - Theory · Physics 2016-09-06 D. -S. Lee , C. N. Leung , Y. J. Ng

The mixing between the chiral condensate and the density in hot and dense QCD matter is familiar. We show that the mixing relevant for the ground state is considerably more extensive, and in particular also involves gluonic degrees of…

High Energy Physics - Phenomenology · Physics 2024-08-06 Maximilian Haensch , Fabian Rennecke , Lorenz von Smekal

We investigate the Polyakov loop effects on the QCD phase diagram by using the strong-coupling (1/g^2) expansion of the lattice QCD (SC-LQCD) with one species of unrooted staggered quark, including O}(1/g^4) effects. We take account of the…

High Energy Physics - Lattice · Physics 2017-06-27 Kohtaroh Miura , Noboru Kawamoto , Takashi Z. Nakano , Akira Ohnishi

The effect of perturbative QCD interactions on the high energy scattering of electroweak vector bosons, when the exchanged channel has pion quantum numbers, is considered. The chiral anomaly is shown to appear in the couplings of particular…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alan R. White

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

We discuss SU(N) gluo-dynamics at finite temperature and on a spatial circle. We show that the effective action for the Polyakov Loop operator is a one dimensional gauged SU(N) principle chiral model with variables in the loop space and…

High Energy Physics - Theory · Physics 2016-09-06 G. Grignani , G. Semenoff , P. Sodano

The Schwinger model with $N_f \geq 2$ flavors is a simple example for a fermionic model with zero chiral condensate Sigma (in the chiral limit). We consider numerical data for two light flavors, based on simulations with dynamical chiral…

High Energy Physics - Lattice · Physics 2020-07-14 David Landa-Marbán , Wolfgang Bietenholz , Ivan Hip

In the $\epsilon$-domain of QCD we have obtained exact analytical expressions for the eigenvalue density of the Dirac operator at fixed $\theta \ne 0$ for both one and two flavors. These results made it possible to explain how the different…

High Energy Physics - Lattice · Physics 2018-07-31 Mario Kieburg , Jacobus Verbaarschot , Tilo Wettig

We use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We…

High Energy Physics - Theory · Physics 2015-11-06 Leandro O. Nascimento , Van Sérgio Alves , Francisco Peña , C. Morais Smith , E. C. Marino

We analyze the mass dependence of the chiral condensate for QCD at nonzero $\theta$-angle and find that in general the discontinuity of the chiral condensate is not on the support of the Dirac spectrum. To understand this behavior we…

High Energy Physics - Theory · Physics 2019-05-08 M. Kieburg , J. J. M. Verbaarschot , T. Wettig

We investigate detailed properties of imaginary rotating matter with gluons and quarks at high temperature. Previously, we showed that imaginary rotation induces perturbative confinement of gluons at the rotation center. We perturbatively…

High Energy Physics - Phenomenology · Physics 2024-11-07 Shi Chen , Kenji Fukushima , Yusuke Shimada

We discuss a new type of QCD phenomenon induced in curved space. In the QCD vacuum, a mass-gap of Dirac fermions is attributed to the spontaneous breaking of chiral symmetry. If the curvature is positive large, the chiral condensate melts…

High Energy Physics - Theory · Physics 2015-06-01 Antonino Flachi , Kenji Fukushima

We study the shift of the chiral condensate in a constant electromagnetic field in the context of chiral perturbation theory. Using the Schwinger proper-time formalism, we derive a one-loop expression correct to all orders in $m_{\pi}^2 /…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas D. Cohen , David A. McGady , Elizabeth S. Werbos

Unquenching of the Polyakov-loop potential showed to be an important improvement for the description of the phase structure and thermodynamics of strongly-interacting matter at zero quark chemical potentials with Polyakov-loop extended…

High Energy Physics - Phenomenology · Physics 2016-05-25 Rainer Stiele , Juergen Schaffner-Bielich

In lattice QCD formalism, we derive an analytical gauge-invariant relation between the Polyakov loop $\langle L_P \rangle$ and the Dirac eigenvalues $\lambda_n$ in QCD, i.e., $\langle L_P \rangle \propto \sum_n \lambda_n^{N_t -1} \langle…

High Energy Physics - Lattice · Physics 2014-03-18 Hideo Suganuma , Takahiro M. Doi , Takumi Iritani

The effects of the Polyakov loop and of a regularization procedure that allows the presence of high momentum quark states at finite temperature is investigated within the Polyakov-loop extended Nambu--Jona-Lasinio model. The characteristic…

High Energy Physics - Phenomenology · Physics 2010-09-17 M. C. Ruivo , Pedro Costa , C. A. de Sousa , H. Hansen , W. M. Alberico

We analyze the consequences of the inclusion of the gluonic Polyakov loop in chiral quark models at finite temperature. Specifically, the low-energy effective chiral Lagrangian from two such quark models is computed. The tree level vacuum…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

The response of the QCD vacuum to a constant external (electro)magnetic field is studied through the tensor polarization of the chiral condensate and the magnetic susceptibility at zero and at finite temperature. We determine these…

High Energy Physics - Lattice · Physics 2013-05-30 G. S. Bali , F. Bruckmann , M. Constantinou , M. Costa , G. Endrodi , S. D. Katz , H. Panagopoulos , A. Schaefer

We address a possible relation between the expectation value of the Polyakov loop in pure gluodynamics and full QCD based on Polyakov Chiral Quark Models where constituent quarks and the Polyakov loop are coupled in a minimal way. To this…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo