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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

Using an OPE modification, which takes non-perturbative non-locality into account, the difference and sum of vector and axial-vector correlators are evaluated in euclidean position space. For distances up to 0.8 fm the calculated behavior…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ralf Hofmann

We derive the the effective lagrangian that describes the interactions among vector, axial-vector mesons and pseudoscalars starting from the extended chiral quark model (ECQM). The results for the low-energy constants of this effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Giancarlo D'Ambrosio , Domenec Espriu

We employ a symmetry-preserving treatment of the contact interaction within the coupled for- malism of Schwinger-Dyson and Bethe-Salpeter equations to calculate the elastic form factors of axial-vector mesons. In this study, we present the…

High Energy Physics - Phenomenology · Physics 2026-05-06 R. J. Hernández-Pinto , L. X. Gutiérrez-Guerrero , M. A. Bedolla , J. P. Uribe-Ramírez , A. Bashir

We compute the axial vector current, form factor, and coupling for quarks in the instanton liquid model with two light flavors. Non-local current corrections are derived, as required by the effective 't Hooft interaction. We obtain a…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. W. Carter

The chiral invariant QHD-III model of Serot and Walecka is applied in the calculation of some meson properties. The electromagnetic interaction is included by extending the symmetry of the model to the local U(1) \times SU(2)_{R} \times…

Nuclear Theory · Physics 2009-11-10 A. Yu. Korchin , D. Van Neck , M. Waroquier

We present the result for the first moment of the scalar and axial-vector current correlator in third order of the strong coupling constant alpha_s and give the details of a recent evaluation of the pseudo-scalar correlator. The results can…

High Energy Physics - Phenomenology · Physics 2009-01-06 Christian Sturm

Calculation of ratio of the nucleon axial and vector coupling constants $G_A/G_V$ in the framework of the quasipotential quark model has been performed. It was shown that in this model $G_A/G_V$ is defined by the ratio of the corresponding…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. P. Ilichova

We show that the minimal Gaussian model of nonlocal vacuum quark and quark-gluon condensates in QCD generates the non-transversity of vector current correlators. We suggest the improved Gaussian model of the nonperturbative QCD vacuum,…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. P. Bakulev , A. V. Pimikov

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

The axial-vector mesons $a_1(1260)$, $b_1(1235)$, $f_1(1285)$, $h_1(1170)$, $h_1(1380)$, and $K_1(1270)$ are dynamically generated in the unitized chiral perturbation theory. Such a picture has been tested extensively in the past few years.…

Nuclear Theory · Physics 2015-06-19 Yu Zhou , Xiu-Lei Ren , Hua-Xing Chen , Li-Sheng Geng

We use results of fits to the OPAL spectral data, obtained from non-strange hadronic \tau decays, to evaluate the difference between the vector and axial current correlators, \Pi_{V-A}(Q^2). The behavior of \Pi_{V-A}(Q^2) near euclidean…

High Energy Physics - Phenomenology · Physics 2013-05-15 Diogo Boito , Maarten Golterman , Matthias Jamin , Kim Maltman , Santiago Peris

The mixed-isospin vector current correlator, $\langle 0\vert T(V^\rho_\mu V^\omega_\nu )\vert 0\rangle$ is evaluated using both QCD sum rules and Chiral Perturbation Theory (ChPT) to one-loop order. The sum rule treatment is a modification…

High Energy Physics - Phenomenology · Physics 2014-11-17 Kim Maltman

The theoretical and experimental status of the isovector axial-vector current form factors G_A(q^2) and G_P(q^2) of the nucleon is reviewed. We also describe a new calculation of these form factors in manifestly Lorentz-invariant chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. R. Schindler , S. Scherer

We report on effects of the q-$\bar{\rm q}$ vector interaction and/or the U(1)$_A$-anomaly-induced chiral-diquark coupling on the charge-neutral quark matter in $\beta$-equilibrium. We show that when the vector coupling is absent, there can…

High Energy Physics - Phenomenology · Physics 2015-06-03 Teiji Kunihiro , Zhao Zhang

The extended linear sigma model describes the vacuum phenomenology of scalar, pseudoscalar, vector and axial-vector mesons at energies \(\simeq 1\text{ GeV}\). We combine the chiral \(U(2)_L\times U(2)_R\) symmetry of this model with a…

High Energy Physics - Phenomenology · Physics 2015-06-24 A. Habersetzer , Francesco Giacosa

The interactions of $\rho$, $K^*$, $\phi$ and $\omega$ vector-mesons with low-momentum $\pi$, $K$ and $\eta$ pseudoscalar mesons are constrained by chiral symmetry. We derive a heavy vector-meson chiral Lagrangian in which the vector mesons…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins , Aneesh V. Manohar , Mark B. Wise

Chiral quark models with non-local covariant separable interactions at finite temperature and chemical potential are investigated. We develop a formalism in which the different quark properties are evaluated taking into account the analytic…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Gomez Dumm , N. N. Scoccola

We investigate the vector-current correlation Pi_{mu nu} (VCC) in the presence of a strong external magnetic field (B_0 in the z direction) at low temperature (T<T^chi_c) with C- and CP-violations, indicated by the nonzero chiral-chemical…

High Energy Physics - Phenomenology · Physics 2014-11-20 Seung-il Nam

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink