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We present two examples of applications of the analytic continuation method for computing the hadronic vacuum polarization function in space- and time-like momentum regions. These examples are the Adler function and the leading order…

High Energy Physics - Lattice · Physics 2013-11-05 Xu Feng , Shoji Hashimoto , Grit Hotzel , Karl Jansen , Marcus Petschlies , Dru B. Renner

We study the manifestations of chiral symmetry restoration which have a significance for the parity mixing. Restricting to pions and nucleons we establish a formalism for the expression of the vector correlator, which displays the mixing of…

Nuclear Theory · Physics 2007-05-23 G. Chanfray , J. Delorme , M. Ericson , M. Rosa-Clot

The transverse part of the vector-axial vector flavor current correlator in the presence of weak external electric field is studied using holography. The correlator is calculated using a bottom-up model arxiv:1003.2377 {proposed recently},…

High Energy Physics - Phenomenology · Physics 2015-05-30 Ioannis Iatrakis , Elias Kiritsis

The method of analytic perturbation theory, which avoids the problem of ghost-pole type singularities and gives a self-consistent description of both spacelike and timelike regions, is applied to describe the "light" Adler function…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. A. Milton , I. L. Solovtsov , O. P. Solovtsova

We use the QCD instanton vacuum model to discuss the emergence of the light scalar and vector mesons on the light front. We take into account both the instanton and anti-instanton single and molecular interactions on the light quarks, in…

High Energy Physics - Phenomenology · Physics 2024-09-17 Wei-Yang Liu , Edward Shuryak , Ismail Zahed

The relations between the window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment $a^{\text{HVP}}_{\mu}$ in spacelike and timelike domains are studied. Two types of window functions (abrupt…

High Energy Physics - Phenomenology · Physics 2026-03-03 A. V. Nesterenko

We study the vector and axial-vector form factors of radiative kaon decay within the framework of the gauged nonlocal effective chiral action from the instanton vacuum, focusing on the effects of flavor SU(3) symmetry breaking. The general…

High Energy Physics - Phenomenology · Physics 2019-07-24 Sang-In Shim , Atsushi Hosaka , Hyun-Chul Kim

A momentum dependent quark mass may be incorporated into a quark model in a manner consistent with dynamically broken chiral symmetry. We use this to study the high $Q^2$ behavior of the vector, axialvector, scalar and pseudoscalar…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Holdom , Randy Lewis

It is shown, that the correct account of quark interaction generated by instanton medium gives the possibility of description on the same ground of both pseudoscalar channel and low lying bound states in the vector channel. It must be…

High Energy Physics - Theory · Physics 2007-05-23 S. V. Esaibegyan , S. N. Tamaryan

As a first step towards a realistic phenomenological description of vector and axial-vector mesons in nuclear matter, we calculate the spectral functions of the $\rho$ and the $a_1$ meson in a chiral baryon-meson model as a low-energy…

High Energy Physics - Phenomenology · Physics 2021-09-15 Ralf-Arno Tripolt , Christopher Jung , Lorenz von Smekal , Jochen Wambach

The nucleon axial vector form factor is investigated in a light-cone quark spectator diquark model, in which Melosh rotations are applied to both the quark and vector diquark. It is found that this model gives a very good description of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bo-Qiang Ma , Di Qing , Ivan Schmidt

We describe a new technique (published in Phys. Rev. D89 114501) to determine the contribution to the anomalous magnetic moment of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'e approximants…

Hadronic correlation functions at finite temperature in QCD, with four flavours of dynamical quarks, have been analyzed both above and below the chiral symmetry restoration temperature. We have used both point and extended sources for…

High Energy Physics - Lattice · Physics 2009-10-22 G. Boyd , Sourendu Gupta , F. Karsch , E. Laermann

The linear sigma model we present here describes the vacuum phenomenology of the $N_F=2$ scalar, pseudoscalar, vector and axial-vector mesons at energies $\simeq 1\text{ GeV}$. Together with a local $SU(2)_L\times U(1)_Y$ symmetry obtained…

High Energy Physics - Phenomenology · Physics 2014-12-01 Anja Habersetzer

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

A fermion can be chiral or vectorlike with respect to a given symmetry, depending on its coupling to the corresponding gauge boson. Vectorlike fermions have a distinct property that their left-handed and right-handed components behave in…

High Energy Physics - Phenomenology · Physics 2026-02-12 Sang Quang Dinh , Hieu Minh Tran

A new QCD sum rule determination of the leading order hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_{\mu}^{\rm hvp}$, is proposed. This approach combines data on $e^{+}e^{-}$ annihilation into…

High Energy Physics - Phenomenology · Physics 2017-10-25 C. A. Dominguez , H. Horch , B. Jäger , N. F. Nasrallah , K. Schilcher , H. Spiesberger , H. Wittig

We study hadronic correlation functions in the interacting instanton liquid model, both at zero and nonzero temperature $T$. At zero $T$ we investigate the dependence of the correlators on the instanton ensemble, in particular the effect of…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Schaefer , E. V. Shuryak

The axial form factor G_A of the nucleon is investigated for the Goldstone-boson-exchange constituent quark model using the point-form approach to relativistic quantum mechanics. The results, being covariant, show large contributions from…

Nuclear Theory · Physics 2009-11-07 L. Ya. Glozman , M. Radici , R. F. Wagenbrunn , S. Boffi , W. Klink , W. Plessas

We discuss the importance of the axialvector meson in chiral phase transition at finite temperature. We show that there exists a significant contribution in the vector spectral function from the axialvector meson through the…

High Energy Physics - Phenomenology · Physics 2011-08-11 C. Sasaki , M. Harada , W. Weise