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The QCD vacuum shows the dynamical breaking of chiral symmetry. In the hot/dense QCD medium, the chiral order parameter such as $ < \bar q q > $ is expected to change as function of temperature $T$ and density $\rho$ of the medium, and its…

Nuclear Experiment · Physics 2011-02-02 Ryugo S. Hayano , Tetsuo Hatsuda

We calculate the masses and leptonic decay constants of the heavy vector quarkonia, $J/\psi$ and $\Upsilon$ mesons at finite temperature. In particular, considering the thermal spectral density as well as additional operators coming up at…

High Energy Physics - Phenomenology · Physics 2015-05-27 E. Veli Veliev , K. Azizi , H. Sundu , G. Kaya , A. Turkan

We extend our previous studies [PhysRevD.90.054509, PhysRevD.92.094510] of the pion quasiparticle in the low-temperature phase of two-flavor QCD with support from chiral effective theory. This includes the analysis performed on a finite…

High Energy Physics - Lattice · Physics 2018-04-18 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Daniel Robaina , Kai Zapp

We perform a systematic study of dilepton emission in a hot QCD medium based on three different scenarios of chiral mixing, each of which yields a characteristic structure in the vector spectral function. The in-medium spectral functions…

Nuclear Theory · Physics 2023-08-08 Azumi Sakai , Masayasu Harada , Chiho Nonaka , Chihiro Sasaki , Kenta Shigaki , Satoshi Yano

We study the extraction of the ground-state parameters from vacuum-to-vacuum correlators. We work in quantum-mechanical potential model which provides the only possibility to probe the reliability and the actual accuracy of this method: one…

High Energy Physics - Phenomenology · Physics 2010-02-05 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The pion-baryon sigma terms and the strange-quark condensates of the octet and the decuplet baryons are calculated by employing the method of quantum chromodynamics (QCD) sum rules. We evaluate the vacuum-to-vacuum transition matrix…

High Energy Physics - Phenomenology · Physics 2010-04-21 G. Erkol , M. Oka , G. Turan

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 have been calculated from first principles within a recently proposed…

High Energy Physics - Phenomenology · Physics 2008-02-03 V. Gogohia , Gy. Kluge , M. Prisznyák

Recently, Son and Stephanov have considered an "open moose" as a possible dual model of a QCD-like theory of chiral symmetry breaking. In this note we demonstrate that although the Weinberg sum rules are satisfied in any such model, the…

High Energy Physics - Phenomenology · Physics 2010-02-03 R. Sekhar Chivukula , Masafumi Kurachi , Masaharu Tanabashi

An exhaustive number of QCD finite energy sum rules for $\tau$-decay together with the latest updated ALEPH data is used to test the assumption of global duality. Typical checks are the absence of the dimension $d=2$ condensate, the…

High Energy Physics - Phenomenology · Physics 2016-10-12 C. A. Dominguez , L. A. Hernandez , K. Schilcher , H. Spiesberger

Standard QCD sum-rule analyses of the nucleon mass give results that are inconsistent with chiral perturbation theory due to an overly simple continuum ansatz on the phenomenological side of the sum rule. We show that a careful treatment of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Su Houng Lee , Seungho Choe , Thomas D. Cohen , David K. Griegel

We construct a random matrix model that, in the large $N$ limit, reduces to the low energy limit of the QCD partition function put forward by Leutwyler and Smilga. This equivalence holds for an arbitrary number of flavors and any value of…

High Energy Physics - Theory · Physics 2016-09-06 E. V. Shuryak , J. J. M. Verbaarschot

The generalized Weinberg sum rules containing the difference of isovector vector and axial-vector spectral functions saturated by both finite and infinite number of narrow resonances are considered. We summarize the status of these sum…

High Energy Physics - Phenomenology · Physics 2009-05-07 S. S. Afonin

We construct QCD sum rules for nonperturbative studies without assuming the quark-hadron duality for the spectral density at low energy on the hadron side. Instead, both resonance and continuum contributions to the spectral density are…

High Energy Physics - Phenomenology · Physics 2021-01-04 Hsiang-nan Li , Hiroyuki Umeeda

We present a method to evaluate the pion structure functions from a box diagram calculation. Pion and constituent quark fields are coupled through the simplest pseudoscalar coupling. The gamma^* pi -> q \bar q cross-section is evaluated and…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , M. Jaminon , P. Stassart

The QCD vacuum condensates and various vacuum susceptibilities are all important parameters which characterize the nonperturbative properties of the QCD vacuum. In the QCD sum rules external field formula, various QCD vacuum…

High Energy Physics - Phenomenology · Physics 2015-05-05 Zhu-Fang Cui , Feng-Yao Hou , Yuan-Mei Shi , Yong-Long Wang , Hong-Shi Zong

Spontaneous chiral symmetry breaking is one of the most important features in low-energy QCD. The chiral symmetry is expected to be restored at very high temperature and/or density. Accompanied by the chiral phase transition, properties of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chihiro Sasaki

Starting from the QCD sum rules with nonlocal condensates for the pion distribution amplitude, we derive another sum rule for its derivative and its "integral" derivatives---defined in this work. We use this new sum rule to analyze the fine…

High Energy Physics - Phenomenology · Physics 2014-11-21 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

Like the even chirality correlation functions of, say, the two vector currents, one can also consider odd chirality correlation functions to write thermal QCD sum rules. They contain fewer non-perturbative corrections, at least to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Mallik , Krishnendu Mukherjee

Sum rules for products of two, three and four QCD currents are derived using chiral symmetry at infinite momentum in the large-N limit. These exact relations among meson decay constants, axialvector couplings and masses determine the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Silas R. Beane

The difference between the charged and neutral pion masses can be predicted from a well-known dispersion relation involving an infinite-energy integral over experimental data, the pion sum rule. This relation, however, holds only in the…

High Energy Physics - Phenomenology · Physics 2026-02-06 Johan Bijnens , Nils Hermansson-Truedsson , Antonio Rodríguez-Sánchez
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