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Related papers: Thermal QCD Sum Rules for sigma(600) Meson

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Exact sum rules for the longitudinal and transverse part of the vector channel spectral functions at nonzero momentum are derived in the first part of the paper. The sum rules are formulated for the finite temperature spectral functions,…

High Energy Physics - Phenomenology · Physics 2018-01-01 Philipp Gubler , Daisuke Satow

We introduce a novel procedure for computing the (mu,T)-dependent pressure in continuum QCD; and therefrom obtain a complex phase diagram and predictions for thermal properties of the system, providing the in-medium behaviour of the trace…

Nuclear Theory · Physics 2016-05-25 Fei Gao , Jing Chen , Yu-Xin Liu , Si-Xue Qin , Craig D. Roberts , Sebastian M. Schmidt

This paper is devoted to the evaluation of the pionic scalar density at finite temperature and baryonic density. We express the latter effect in terms of the nuclear response evaluated in the random phase approxima- tion. We discuss the…

Nuclear Theory · Physics 2015-06-26 G. Chanfray , D. Davesne , J. Delorme , M. Ericson , J. Marteau

A global fit to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$\Pi (1300)$] parameters is performed, leading to predictions for the pion-resonance mass and decay constant. This fit leads to…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. G. Steele , J. C. Breckenridge , M. Benmerrouche , V. Elias , A. H. Fariborz

We study energy weighted sum rules of the pion and kaon propagator in nuclear matter at finite temperature. The sum rules are obtained from matching the Dyson form of the meson propagator with its spectral Lehmann representation at low and…

Nuclear Theory · Physics 2013-05-29 D. Cabrera , A. Polls , A. Ramos , L. Tolos

The consistency of effective models with QCD is investigated through the use of the QCD sum rule. Taking the potential model for the heavy quark system, we apply the method to two phenomenologically successful parameter sets, and obtain the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Matsuki , K. Yazaki

We derive a holographic soft-wall approach in five dimensional AdS-Schwarzschild space for the description of mesons at finite temperature. In this first application we consider the small temperature limit and derive analytical expression…

High Energy Physics - Phenomenology · Physics 2019-04-02 Thomas Gutsche , Valery E. Lyubovitskij , Ivan Schmidt , Andrey Yu. Trifonov

The phase diagram of two-color QCD as a function of temperature and baryon chemical potential is considered. Using a low-energy chiral Lagrangian based on the symmetries of the microscopic theory, we determine, at the one-loop level, the…

High Energy Physics - Phenomenology · Physics 2015-06-25 K. Splittorff , D. Toublan , J. J. M. Verbaarschot

We present the non-perturbative computation of the entropy density in QCD for temperatures ranging from 3 GeV up to the electro-weak scale, using $N_f=3$ flavours of massless O$(a)$-improved Wilson fermions. We adopt a new strategy designed…

High Energy Physics - Lattice · Physics 2025-02-07 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

Firstly, I give a brief summary of the current understanding of QCD below and near $T_c$ (the critical temperature of the chiral transition). Some emphases are put on the qualitative difference between the Yukawa regime ($T \sim 0)$ and the…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tetsuo Hatsuda

We calculate the pion decay constant near the critical temperature of the $O(N)$ nonlinear sigma model in the large $N$ limit. Making use of the known low temperature behavior, we construct a Pad\'{e} approximant to obtain the behavior of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon , Joseph Kapusta

First we summarize the quark-level linear $\sigma$ model compositeness conditions and verify that indeed $m_\sigma = 2 m_q$ when $m_\pi = 0$ and $N_c=3$, rather than in the $N_c\to\infty$ limit, as is sometimes suggested. Later we show that…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. D. Scadron

We study the QCD phase diagram using the linear sigma model coupled to quarks. We compute the effective potential at finite temperature and quark chemical potential up to ring diagrams contribution. We show that, provided the values for the…

High Energy Physics - Phenomenology · Physics 2018-03-14 Alejandro Ayala , Jorge David Castaño-Yepes , José Antonio Flores , Saúl Hernández , Luis Hernández

We introduce a reweighting technique which allows for a continuous sampling of temperatures in a single simulation and employ it to compute the temperature dependence of the QCD topological susceptibility at high temperatures. The method…

High Energy Physics - Lattice · Physics 2021-07-14 P. Thomas Jahn , Parikshit M. Junnarkar , Guy D. Moore , Daniel Robaina

A visible improvement of the QCD sum-rule framework, achieved only recently by a slightly more sophisticated consideration of the hadron excitations and continuum, is applied to the extraction of the decay constants of heavy-light…

High Energy Physics - Phenomenology · Physics 2012-06-05 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We study the QCD phase diagram at finite temperature and baryon chemical potential by relating the behavior of the light-quark condensate to the threshold energy for the onset of perturbative QCD. These parameters are connected to the…

High Energy Physics - Phenomenology · Physics 2015-05-28 Alejandro Ayala , Adnan Bashir , C. A. Dominguez , Enif Gutierrez , M. Loewe , Alfredo Raya

In these lectures, I describe the techniques used within the QCD sum rule approach. The basic concepts of the approach are introduced using a simple model of quantum-mechanical oscillator in 2+1 dimensions. Then I discuss their…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Radyushkin

We analyze subtracted dispersion relations for meson correlators at finite baryon density and temperature. Such relations are needed for QCD sum rules. We point out the importance of scattering terms, as well as finite, well-defined…

Nuclear Theory · Physics 2009-10-31 W. Florkowski , W. Broniowski

In this article, we assume that the nonet scalar mesons below $1\,\rm{ GeV}$ are the two-quark-tetraquark mixed states and study their masses and pole residues using the QCD sum rules. In calculation, we take into account the vacuum…

High Energy Physics - Phenomenology · Physics 2016-08-02 Zhi-Gang Wang

We argue that in QCD near the chiral limit, at all temperatures below the chiral phase transition, the dispersion relation of soft pions can be expressed entirely in terms of three temperature-dependent quantities: the pion screening mass,…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov
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