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We study chiral symmetry restoration by analyzing thermal properties of QCD's (pseudo-)Goldstone bosons, especially the pion. The meson properties are obtained from the spectral densities of mesonic imaginary-time correlation functions. To…

High Energy Physics - Phenomenology · Physics 2023-02-15 Yin-Zhen Xu , Si-Xue Qin , Hong-Shi Zong

Independent of assumptions about the form of the quark-quark scattering kernel, K, we derive the explicit relation between the flavour-nonsinglet pseudoscalar meson Bethe-Salpeter amplitude, Gamma_H, and the dressed-quark propagator in the…

Nuclear Theory · Physics 2008-11-26 P. Maris , C. D. Roberts

Properties and temperature behavior of pi and sigma bound states are studied in the framework of the nonlocal model with a separable interaction kernel based on the quark Dyson-Schwinger and the meson Bethe-Salpeter equations. M_pi(T),…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Blaschke , Yu. L. Kalinovsky , A. E. Radzhabov , M. K. Volkov

The coupled quark Dyson-Schwinger and meson Bethe-Salpeter equations in rainbow-ladder truncation for spin-0 mesons are solved in Wigner-Weyl phase in the chiral limit and beyond, retaining only the ultraviolet finite terms of the…

High Energy Physics - Phenomenology · Physics 2016-03-30 Thomas Hilger

In this article, we investigate the structures of the pseudoscalar charmonium and bottomonium in the framework of the coupled rainbow Schwinger-Dyson equation and ladder Bethe-Salpeter equation with the confining effective potential…

High Energy Physics - Phenomenology · Physics 2009-11-10 Zhi-Gang Wang , Wei-Min Yang , Shao-Long Wan

We investigate numerically chiral symmetry restoration at finite temperature in the planar limit in the deconfined phase, both when it is stable and when the system is supercooled. We find chiral symmetry restoration at $T_\chi = T_d$,…

High Energy Physics - Theory · Physics 2008-11-26 R. Narayanan , H. Neuberger

The temperature dependence of the mass, leptonic decay constant, and width of heavy-light quark peseudoscalar and vector mesons is obtained in the framework of thermal Hilbert moment QCD sum rules. The leptonic decay constants of both…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. A. Dominguez , M. Loewe , J. C. Rojas

The hadronic parameters of pseudoscalar ($\eta_c$) and scalar ($\chi_c$) charmonium are determined at finite temperature from Hilbert moment QCD sum rules. These parameters are the hadron mass, leptonic decay constant, total width, and…

High Energy Physics - Phenomenology · Physics 2011-03-23 C. A. Dominguez , M. Loewe , J. C. Rojas , Y. Zhang

The quark Dyson-Schwinger equation and meson Bethe-Salpeter equation are studied in a truncation scheme that extends the rainbow-ladder approximation such that, in the chiral limit, the isovector, pseudoscalar meson remains massless.…

Nuclear Theory · Physics 2010-03-04 A. Bender , C. D. Roberts , L. v. Smekal

We describe Scalar-Pseudoscalar partner degeneration at the QCD chiral transition in terms of the dominant low-energy physical states for the light quark sector. First, we obtain within model-independent one-loop Chiral Perturbation Theory…

High Energy Physics - Phenomenology · Physics 2013-10-30 A. Gomez Nicola , J. Ruiz de Elvira , R. Torres Andres

We introduce coupled channels of Bethe-Salpeter mesons both in the boundstate equation for mesons and in the mass gap equation for chiral symmetry. Consistency is insured by the Ward Identities for axial currents, which preserve the…

Nuclear Theory · Physics 2010-11-15 Pedro Bicudo

Finite temperature spatial $\bar q q$ correlation modes in the $\pi$ and $\rho$ channels are studied with the rainbow-ladder truncated quark Dyson-Schwinger equation and Bethe-Salpeter equation in the Matsubara formalism. To retain the…

Nuclear Theory · Physics 2009-11-06 D. Blaschke , G. Burau , Yu. L. Kalinovsky , P. Maris , P. C. Tandy

The combined Dyson-Schwinger--Bethe-Salpeter equations are employed at non-zero temperature. The truncations refer to a rainbow-ladder approximation augmented with an interaction kernel which facilitates a special temperature dependence. At…

Nuclear Theory · Physics 2019-05-01 S. M. Dorkin , L. P. Kaptari , B. Kämpfer

We explore the conditions for chiral symmetry breaking in reduced (or pseudo) quantum electrodynamics at finite temperature in connection with graphene and other 2D-materials with an underlying Dirac behavior of the charge carriers. By…

High Energy Physics - Theory · Physics 2020-09-30 Jean Báez , Alfredo Raya , J. C. Rojas

A simple confining separable interaction Ansatz for the rainbow-ladder truncated QCD Dyson-Schwinger equations is used to implement chiral restoration and quark deconfinement in a study of $\bar q q$ meson states at finite temperature. The…

Nuclear Theory · Physics 2007-05-23 D. Blaschke , P. C. Tandy

Deconfinement and chiral symmetry restoration are explored in a confining, renormalisable, Dyson-Schwinger equation model of two-flavour QCD. An order parameter for deconfinement is introduced and used to establish that, in the chiral…

Nuclear Theory · Physics 2010-03-04 Axel Bender , David Blaschke , Yuri Kalinovsky , Craig D. Roberts

We use the Bethe-Salpeter equation in rainbow-ladder truncation to calculate the ground state mesons from the chiral limit to bottomonium, with an effective interaction that was previously fitted to the chiral condensate and pion decay…

Nuclear Theory · Physics 2008-11-26 P. Maris

An hallmark of present-day Dyson-Schwinger equation applications in hadron physics is the existence of a systematic and symmetry preserving truncation scheme. This enables the proof of exact results; e.g., the leptonic decay constant of…

Nuclear Theory · Physics 2007-05-23 A. Hoell , A. Krassnigg , C. D. Roberts

Above a pseudocritical temperature of chiral symmetry restoration T_c the energy and the pressure are very far from the quark-gluon-plasma limit (i.e. ideal gas of free quarks and gluons). At the same time very soon above T_c fluctuations…

High Energy Physics - Phenomenology · Physics 2020-07-22 L. Ya. Glozman

The temperature behaviour of meson condensates $<\sigma_0>$ and $<\sigma_8>$ is calculated in the $SU(3)\times SU(3)$-linear sigma model. The couplings of the Lagrangian are fitted to the physical $\pi,K,\eta,\eta'$ masses, the pion decay…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. Metzger , H. Meyer--Ortmanns , H. --J. Pirner
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