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The Schwinger-Dyson equation for the quark in the rainbow approximation at finite temperature (T) is solved numerically without introducing any ansatz for the dressed quark propagator. The dymanical quark mass-function and the wave-function…

High Energy Physics - Phenomenology · Physics 2014-11-17 Takashi Ikeda

In this article, we calculate the dressed quark propagator with the flat bottom potential in the framework of the rain-bow Schwinger-Dyson equation, which is determined by mean field approximation of the global colour model lagrangian. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Z. G. Wang

The quark number susceptibility is expressed as an integral in terms of dressed quark propagator and dressed vector vertex. It is then investigated with the latter two- and three-point functions confronted with a Dyson-Schwinger equation…

High Energy Physics - Phenomenology · Physics 2010-04-28 Min He , Jian-Feng Li , Wei-Min Sun , Hong-Shi Zong

In this article, we calculate the dressed quark propagator with the flat bottom potential in the framework of the rain-bow Schwinger-Dyson equation. Then based on the nonperturbative dressed quark propagator, we calculate the $\pi$ decay…

High Energy Physics - Phenomenology · Physics 2014-11-17 Z. G. Wang , S. L. Wan

We propose a chemical potential dependent effective gluon propagator and study the chiral quark condensate in strongly interacting matter in the framework of Dyson-Schwinger equation approach. The obtained results manifest that, as the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lei Chang , Huan Chen , Bin Wang , Wei Yuan , Yu-xin Liu

The dependence of the dressed quark propagator on the quark chemical potential is investigated in various models based on the Dyson-Schwinger equations. We find that the critical chemical potential of the chiral symmetry restoration…

High Energy Physics - Phenomenology · Physics 2010-02-17 A. Bender , W. Detmold , A. W. Thomas

In these proceedings I review the status of an ongoing project that aims at solving the quark propagator Dyson-Schwinger equation in the complex domain. The novel aspect of the approach is that the non-analyticities arising throughout the…

High Energy Physics - Phenomenology · Physics 2017-07-17 Andreas Windisch

A condensate of $\pvec = 0$ partons in the perturbative vacuum gives rise to a term $\propto\delta^4(p)$ in the free PQCD propagators. The leading condensate contribution to the quark propagator can be exactly summed since there is a factor…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Hoyer , Stephane Peigne

We propose a practical procedure to extrapolate the space-like quark propagator onto the complex plane, which follows the Schlessinger Point Method and the spectral representation of the propagator. As a feasible example, we employ quark…

Nuclear Theory · Physics 2021-02-17 Zehao Zhu , Khépani Raya , Lei Chang

In view of the properties of mesons in hot strongly interacting matter the properties of the solutions of the truncated Dyson-Schwinger equation for the quark propagator at finite temperatures within the rainbow-ladder approximation are…

Nuclear Theory · Physics 2016-12-21 S. M. Dorkin , M. Viebach , L. P. Kaptari , B. Kampfer

By means of a formal expression of the Cornwall-Jackiw-Tomboulis effective potential for quark propagator at finite temperature and finite quark chemical potential, we derive the real-time thermal Schwinger-Dyson equation for quark…

High Energy Physics - Theory · Physics 2014-11-18 Zhou Bang-Rong

We employ the Dyson-Schwinger equations for quark and gluon propagators in order to study QCD with 2+1 flavours at finite temperature and density. In a suitable truncation for these equations, we determine the position of the critical…

High Energy Physics - Phenomenology · Physics 2013-08-22 Jan Luecker , Christian S. Fischer , Leonard Fister , Jan M. Pawlowski

We report on an analysis of the quark spectral representation at finite temperatures based on the quark propagator determined from its Dyson-Schwinger equation in Landau gauge. In Euclidean space we achieve nice agreement with recent…

High Energy Physics - Phenomenology · Physics 2010-12-15 Jens A. Mueller , Christian S. Fischer , Dominik Nickel

In a confining, renormalisable, Dyson-Schwinger equation model of two-flavour QCD we explore the chemical-potential dependence of the dressed-quark propagator, which provides a means of determining the behaviour of the chiral and…

Nuclear Theory · Physics 2010-02-17 A. Bender , G. I. Poulis , C. D. Roberts , S. Schmidt , A. W. Thomas

We investigate the quark number fluctuations up to the fourth order in the matter composed of two light flavor quarks with isospin symmetry and at finite temperature and finite chemical potential using the Dyson-Schwinger equation approach…

High Energy Physics - Phenomenology · Physics 2021-09-22 Xian-yin Xin , Si-xue Qin , Yu-xin Liu

The Dyson-Schwinger equation for the quark self energy is solved in rainbow approximation using an infrared (IR) vanishing gluon propagator that introduces an IR mass scale $b$. There exists a $b$ dependent critical coupling indicating the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Axel Bender , Reinhard Alkofer

In view of the mass spectrum of heavy mesons in vacuum the analytical properties of the solutions of the truncated Dyson-Schwinger equatio for the quark propagator within the rainbow approximation are analysed in some detail. In Euclidean…

High Energy Physics - Phenomenology · Physics 2014-04-02 S. M. Dorkin , L. P. Kaptari , T. Hilger , B. Kampfer

We investigate the phase structure of QCD at finite temperature and chemical potential by solving a coupled set of truncated Dyson-Schwinger equations for the quark and gluon propagator. In contrast to previous calculations we take into…

High Energy Physics - Phenomenology · Physics 2013-01-31 Christian S. Fischer , Jan Luecker

A method for obtaining the low chemical potential dependence of the dressed quark propagator from an effective quark-quark interaction model is developed. From this the chemical potential dependence of the chiral quark condensate and bag…

Nuclear Theory · Physics 2009-11-07 Hong-shi Zong , Jia-lun Ping , Wei-min Sun , Fang Wang , Chao-hsi Chang

QCD-like theories provide testing grounds for truncations of functional equations at non-zero density, since comparisons with lattice results are possible due to the absence of the sign problem. As a first step towards such a comparison, we…

High Energy Physics - Phenomenology · Physics 2017-04-05 Romain Contant , Markus Q. Huber
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