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Related papers: Vector and axial-vector correlators in a nonlocal …

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We calculate the nucleon form factors G_A and G_P of the isovector axial-vector current and the pion-nucleon form factor G_piN in manifestly Lorentz-invariant baryon chiral perturbation theory up to and including order O(p^4). In addition…

Nuclear Theory · Physics 2008-11-26 M. R. Schindler , T. Fuchs , J. Gegelia , S. Scherer

It is discussed how chiral symmetry restoration manifests itself through mixing of vector and axial-vector correlators. The vector correlator is directly accessible in relativistic heavy-ion collisions. Within models of the vector…

Nuclear Theory · Physics 2007-05-23 J. Wambach , R. Rapp

Gauge-invariant spatial correlations between two and three quarks inside a hadron are measured within quenched and unquenched QCD. These correlators provide information on the shape and multipole moments of the pion, the rho, the nucleon…

High Energy Physics - Lattice · Physics 2009-11-07 C. Alexandrou , Ph. de Forcrand , A. Tsapalis

We study the nonperturbative structure of the axial current and evaluate the two-point light-cone distribution amplitudes (DA) associated with the correlator \int d\xi exp(-iq\xi)<0|\bar{\psi}(x)\Gamma\psi(y)J_{\mu}^{5}(\xi)|0> within the…

High Energy Physics - Phenomenology · Physics 2013-10-16 B. Z. Kopeliovich , Ivan Schmidt , M. Siddikov

We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalisation of the nucleon matrix elements…

High Energy Physics - Lattice · Physics 2009-11-07 W. Detmold , W. Melnitchouk , A. W. Thomas

In this work we study the generalization of the problem, considered in [{\it Phys. Rev. E} {\bf 91}, 013002 (2015)], to the case of {\it finite} correlation time of the environment (velocity) field. The model describes a vector (e.g.,…

Statistical Mechanics · Physics 2015-10-27 N. V. Antonov , N. M. Gulitskiy

Using the resonance chiral theory Lagrangian, we perform a calculation of the vector and axial-vector two-point functions at the next-to-leading order (NLO) in the 1/N(C) expansion. We have analyzed these correlators within the…

High Energy Physics - Phenomenology · Physics 2009-01-06 A. Pich , I. Rosell , J. J. Sanz-Cillero

We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the…

High Energy Physics - Lattice · Physics 2018-01-17 Johan Bijnens , Johan Relefors

We calculate the small-momentum expansion of vector, axial-vector, scalar, and pseudo-scalar heavy-quark current correlators in the large-$\beta_0$ limit of QCD, extending the analysis of Grozin and Sturm beyond the vector current. Our…

High Energy Physics - Phenomenology · Physics 2021-09-01 Diogo Boito , Vicent Mateu , Marcus V. Rodrigues

The contribution of axial-vector mesons to the muon's anomalous magnetic moment through a light-by-light process is considered within a nonlocal quark model. The model is based on a four-quark interaction with scalar--pseudoscalar and…

High Energy Physics - Phenomenology · Physics 2023-08-09 A. E. Radzhabov , A. S. Zhevlakov , A. P. Martynenko , F. A. Martynenko

We explore the extension of chiral perturbation theory out of thermal equilibrium. The pion decay constant becomes then a time-dependent function and we work within the Schwinger-Keldysh contour technique. A useful connection with curved…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Gomez Nicola

The isovector--vector and the isovector--axial-vector current are related by a chiral transformation. These currents can be called chiral partners at the fundamental level. In a world where chiral symmetry was not broken, the corresponding…

Nuclear Theory · Physics 2009-11-13 Stefan Leupold , Markus Wagner

We investigate the isoscalar and isovector components of the axial vector coupling constants, $g_A^{(0)}$ and $g_A$, using algebraic models that lead to the correct symmetries of large-$N_c$ QCD. Results obtained previously in various…

High Energy Physics - Phenomenology · Physics 2009-10-28 Atsushi Hosaka , Niels R. Walet

A conformal invariant QED-inspired model is solved for a general covariant linear gauge using the Dyson-Schwinger equations for the propagators assuming a pure vector like interaction. The leading corrections to the asymptotic solutions and…

High Energy Physics - Theory · Physics 2024-08-27 O Oliveira , T Frederico , W de Paula

We discuss the vector meson masses within the context of Chiral Perturbation Theory performing an expansion in terms of the momenta, quark masses and 1/Nc. We extend the previous analysis to include isospin breaking effects and also include…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Bijnens , P. Gosdzinsky , P. Talavera

The axial vector coupling constants of the $\beta$ decay processes of neutron and hyperon are calculated in SU(3) chiral colour dielectric model (CCDM). Using these axial coupling constants of neutron and hyperon, in CCDM we calculate the…

Nuclear Theory · Physics 2008-11-26 Sarira Sahu

We study SU(3)$_L\timesSU(3)_R$ chiral quark model of mesons up to the next to leading order of $1/N_c$ expansion. Composite vector and axial-vector mesons resonances are introduced via non-linear realization of chiral SU(3) and vector…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Wang , Mu-Lin Yan

Relations connecting various zero momentum correlators of interpolating fields for pseudoscalar and scalar channel, containing one heavy and one light quark field, are derived from the Euclidean space formulation of the QCD functional…

High Energy Physics - Phenomenology · Physics 2010-11-01 Xuemin Jin , Thomas D. Cohen

The role of effective degrees of freedom on the vector and axial-vector susceptibilities and the pion velocity at chiral restoration is analyzed. We consider two possible scenarios, one in which pions are considered to be the only low-lying…

High Energy Physics - Phenomenology · Physics 2009-11-10 Mannque Rho

We present a complete analysis of the chiral extrapolation of lattice moments of all twist-2 isovector quark distributions, including corrections from N pi and Delta pi loops. Even though the Delta resonance formally gives rise to higher…

High Energy Physics - Lattice · Physics 2008-11-26 W. Detmold , W. Melnitchouk , A. W. Thomas