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We address some criticisms by Eletsky and Ioffe on the extension of QCD sum rules to finite temperature. We argue that this extension is possible, provided the Operator Product Expansion and QCD-hadron duality remain valid at non-zero…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. A. Dominguez , M. Loewe

The non-diagonal correlators of vector and scalar currents are considered at three-loop order in QCD. The full mass dependence is computed in the case where one of the quarks is massless and the other one carries mass $M$. We exploit the…

High Energy Physics - Phenomenology · Physics 2014-11-17 K. G. Chetyrkin , M. Steinhauser

For the structure functions of the quark propagator, the asymptotic behavior is obtained for general, linear, covariant gauges, and in all directions of the complex $k^2$-plane. Asymptotic freedom is assumed. Corresponding previous results…

High Energy Physics - Theory · Physics 2009-10-30 Reinhard Oehme , Wentao Xu

Modifying the standard approaches to nonperturbative QCD based on Borel-transformed dispersive sum rules by allowing the effective continuum thresholds required for the implementation of quark-hadron duality to depend on the Borel…

High Energy Physics - Phenomenology · Physics 2011-02-01 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We show on the basis of an effective theory of QCD that a wide variety of observables in the hadron world is governed by the chiral symmetry together with an interplay between the axial anomaly and the explicit symmetry breaking due to the…

High Energy Physics - Phenomenology · Physics 2016-11-03 Teiji Kunihiro

The concept of QCD sum rules is extended to bound states composed of particles with finite mass such as scalar quarks or strange quarks. It turns out that mass corrections become important in this context. The number of relevant corrections…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Meyer-Hermann , A. Schäfer , W. Greiner

Constraints on the parameters in the one- and two-loop pion-pion scattering amplitudes of standard chiral perturbation theory are obtained from explicitly crossing-symmetric sum rules. These constraints are based on a matching of the chiral…

High Energy Physics - Phenomenology · Physics 2009-08-27 G. Wanders

We consider the Quasilocal Quark Model of NJL type including vector and axial-vector four-fermion interaction with derivatives. In the presence of a strong attraction in the scalar channel the chiral symmetry is spontaneously broken and as…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov , S. S. Afonin

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

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

The masses of excited heavy mesons are studied with sum rules in the heavy quark effective theory. A set of interpolating currents creating (annihilating) excited heavy mesons with arbitrary spin and parity are proposed and their properties…

High Energy Physics - Phenomenology · Physics 2015-06-25 Yuan-ben Dai , Chao-shang Huang , Ming-qiu Huang , Chun Liu

Within the realm of QCD sum rules, one of the most important areas of application of this nonperturbative approach is the prediction of the decay constants of heavy mesons. However, in spite of the fact that, indisputably, the adopted…

High Energy Physics - Phenomenology · Physics 2016-01-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

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

In the introduction, we will discuss the symmetries of QCD, its breaking in the physical vacuum and its restoration at finite temperature and/or density. Then we will discuss what exact relations can be made between chiral symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-31 Su Houng Lee

In response to Kim's comment (nucl-th/9903040) on the sum rules for pion-baryon coupling constants obtained in hep-ph/9512259 and hep-ph/9606471, we point out that our treatment of the continuum is consistent with duality and with the fact…

Nuclear Theory · Physics 2009-10-31 Boris Krippa , Michael C. Birse

Using quenched and unquenched chiral perturbation theory we compute vector and axial current two-point functions at finite volume and fixed gauge field topology, in the so-called \epsilon-regime of QCD. A comparison of these results with…

High Energy Physics - Lattice · Physics 2009-11-10 P. H. Damgaard , P. Hernandez , K. Jansen , M. Laine , L. Lellouch

We consider the Quasilocal Quark Model of NJL type (QNJLM) as an effective theory of non-perturbative QCD including scalar (S), pseudoscalar (P), vector (V) and axial-vector (A) four-fermion interaction with derivatives. In the presence of…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. A. Andrianov , V. A. Andrianov

We consider finite volume effects on the electromagnetic form factor of the pion. We compute the peudoscalar-vector-pseudoscalar correlator in the $\epsilon$ expansion of chiral perturbation theory up to the next-to-leading order and find a…

High Energy Physics - Lattice · Physics 2014-12-31 Hidenori Fukaya , Takashi Suzuki

It is noted that if large Nc continuum reduction applies to an observable, then that observable is independent of temperature for all temperatures below some critical value. This fact, plus the fact that mesons and glueballs are weakly…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas D. Cohen

We evaluate the pion-nucleon and the pion-Delta sigma terms by employing the method of quantum chromodynamics (QCD) sum rules. The obtained value of the pion-nucleon sigma term is compatible with the larger values already anticipated by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Erkol , M. Oka
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