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The masses and the leptonic decay constants of vector and axial vector heavy-heavy mesons are calculated using the thermal QCD sum rules approach. While obtaining the QCD sum rules, additional operators in the Wilson expansion and also…

High Energy Physics - Phenomenology · Physics 2016-11-01 Enis Yazici

The hadronic mechanism which leads to chiral symmetry restoration is explored in the context of the rho-pi-a_1 system using Massive Yang-Mills, a hadronic effective theory which governs their microscopic interactions. In this approach,…

High Energy Physics - Phenomenology · Physics 2016-04-20 Paul M. Hohler , Ralf Rapp

The technique of Weinberg's spectral-function sum rule is a powerful tool for a study of models in which global symmetry is dynamically broken. It enables us to convert information on the short-distance behavior of a theory to relations…

High Energy Physics - Phenomenology · Physics 2013-05-30 Ryuichiro Kitano , Masafumi Kurachi , Mitsutoshi Nakamura , Naoto Yokoi

We generalize the sum rule approach to investigate the nonperturbative structure of QCD at high temperature. Salient features of the QCD phase above $T_c$ are discussed, and included in the form of power corrections or condensate…

High Energy Physics - Phenomenology · Physics 2021-10-26 Thors Hans Hansson , Ismail Zahed

Using lattice QCD simulations with $O(a)$-improved Wilson quarks and physical up, down and strange quark masses, we investigate the properties of thermal QCD matter at the temperatures $T=\{128,154,192\}\mathrm{MeV}$ with a fixed lattice…

High Energy Physics - Lattice · Physics 2024-07-03 Ardit Krasniqi , Marco Cè , Renwick J. Hudspith , Harvey B. Meyer

QCD sum-rules are related to an integral of a hadronic spectral function, and hence must satisfy integral inequalities which follow from positivity of the spectral function. Development of these Holder inequalities and their application to…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. G. Steele

QCD sum rules are based on the Operator Product Expansion of current correlators, and on QCD-hadron duality. An extension of this program to finite temperature is discussed. This allows for a study of deconfinement and chiral-symmetry…

High Energy Physics - Phenomenology · Physics 2010-11-01 C. A. Dominguez

Studies of quarkonium spectral functions at finite temperature, based on an approach combining QCD sum rules and the maximum entropy method are briefly reviewed. QCD sum rules for heavy quarkonia incorporate finite temperature effects in…

High Energy Physics - Phenomenology · Physics 2015-06-12 Philipp Gubler , Kei Suzuki , Kenji Morita , Makoto Oka

Borel transformed QCD sum rules conventionally use a real valued parameter (the Borel mass) for specifying the exponential weight over which hadronic spectral functions are averaged. In this paper, it is shown that the Borel mass can be…

High Energy Physics - Phenomenology · Physics 2014-07-09 Ken-Ji Araki , Keisuke Ohtani , Philipp Gubler , Makoto Oka

Thermodynamic properties of the QCD nonperturbative vacuum with two light quarks are studied. It is shown that at low temperatures T<M_\pi relativistic massive pions can be treated within the dilute gas approximation. Analytic temperature…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. O. Agasian

Pseudo-scalar and scalar $D$ mesons are considered within the QCD sum rule approach. We present an analysis of the mass splitting of the pseudo-scalar D - D-bar mesons and the relation to QCD condensates. Weinberg type sum rules are derived…

Nuclear Theory · Physics 2010-02-18 T. Hilger , B. Kampfer

The QCD sum rule calculation of the in-medium pion decay constants using pseudoscalar-axial vector correlation function, $i \int d^4x e^{ip\cdot x} < \rho| T[{\bar d}(x) i \gamma_5 u (x) {\bar u}(0) \gamma_\mu \gamma_5 d (0)] | \rho>$ is…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hungchong Kim , Makoto Oka

We study the issue of duality violations in the VV-AA vacuum polarization function in the chiral limit. This is done with the help of a model with an expansion in inverse powers of the number of colors, Nc, allowing us to consider…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. Cata , M. Golterman , S. Peris

We derive three exact sum rules for the spectral function of the electromagnetic current with zero spatial momentum at finite temperature. Two of them are derived in this paper for the first time. We explicitly check that these sum rules…

High Energy Physics - Phenomenology · Physics 2016-11-30 Philipp Gubler , Daisuke Satow

We report on a study of the finite-temperature QCD transition region for temperatures between 139 and 196 MeV, with a pion mass of 200 MeV and two space-time volumes: $24^3\times8$ and $32^3\times8$, where the larger volume varies in linear…

We use dispersive techniques to address the behavior of the pion form factor as $Q^2 \to \infty$ and $Q^2 \to 0$. We perform the matching with the constraints of perturbative QCD and chiral perturbation theory in the high energy and low…

High Energy Physics - Phenomenology · Physics 2011-07-19 John F. Donoghue , Euy Soo Na

Basic chiral QCD parameters (the pion decay constant, the quark and gluon condensates, the dynamically generated quark mass, etc) as well as the vacuum energy density (up to the sign, by definition, the bag constant) have been calculated…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Gogohia , Gy. Kluge , M. Prisznyák

A thermal Finite Energy QCD Sum Rule is used to determine the temperature behaviour of the $\omega \rho \pi$ strong coupling. This coupling decreases with increasing $T$ and vanishes at the critical temperature, a likely signal for quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , M. Loewe

We investigate a model QCD sum rule for the pion wave function $\varphi_{\pi}(x)$ based on the non-diagonal correlator whose perturbative spectral density vanishes and $\Phi(x,M^2)$, the theoretical side of the sum rule, consists of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Anatoly Radyushkin

A Finite Energy QCD sum rule at non-zero temperature is used to determine the $q^2$- and the T-dependence of the $\rho \pi \pi$ vertex function in the space-like region. A comparison with an independent QCD determination of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. A. Dominguez , M. S. Fetea , M. Loewe