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The contributions to the muon anomalous magnetic moment from hadronic vacuum polarization and from hadronic light-by-light scattering are reexamined within the frame work of chiral perturbation theory; the $1/N_c$-expansion; and the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Eduardo de Rafael

The chiral phase structure of the Nambu-Jona-Lasinio/Gross-Neveu model at finite temperature T and finite chemical potential \mu is investigated using (Wilsonian) Non-Perturbative Renormalization Group (NPRG). In the large N_c limit, the…

High Energy Physics - Theory · Physics 2009-10-31 Hiroaki Kodama , Jun-Ichi Sumi

The hadrodynamics of the instantaneous weak interactions (IWI) in Standard Model is considered supposing the resonance nature of the chiral hadronization of quark currents in QCD. Exploiting this supposition and QCD symmetries the IWI…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Z. Dubnickova , S. Dubnicka , V. N. Pervushin , M. Secansky

The Nambu--Jona-Lasinio model is the simplest field theory of a composite scalar boson, consisting of a pair of chiral fermions. A bound state emerges from an assumed point-like 4-fermion interaction and is described by local effective…

High Energy Physics - Phenomenology · Physics 2024-02-27 Christopher T. Hill

The recently developed Nambu-Jona-Lasinio (NJL) - Jet model is used as an effective chiral quark theory to calculate the quark fragmentation functions to pions, kaons, nucleons, and antinucleons. The effects of the vector mesons rho, K* and…

High Energy Physics - Phenomenology · Physics 2011-06-13 Hrayr H. Matevosyan , Anthony W. Thomas , Wolfgang Bentz

We give an overview of the current theoretical status of proper time renormalization group flow equations applied to QCD. These equations give the evolution of coupling constants in an effective QCD Lagrangian as a function of an infra-red…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. Pirner

We study QED corrections to the chiral symmetry breaking in Nambu-Jona-Lasinio (NJL) model with two flavors of quarks. In the model the isospin symmetry is broken by differences of the current quark masses and the electromagnetic charges…

High Energy Physics - Phenomenology · Physics 2017-08-23 Takahiro Fujihara , Tomohiro Inagaki , Daiji Kimura

The use of the equations of motion and meson field redefinitions allows the development of a simplified resonance chiral theory lagrangian: terms including resonance fields and a large number of derivatives can be reduced into corresponding…

High Energy Physics - Phenomenology · Physics 2010-04-28 J. J. Sanz-Cillero

The Nambu--Jona-Lasinio (NJL) model has been extensively studied by many researchers. In previous work we have generalized the NJL model to include a covariant model of confinement. In the present work we consider further modification of…

Nuclear Theory · Physics 2007-05-23 Bing He , Hu Li , Qing Sun , C. M. Shakin

We employ the Nambu Jona--Lasinio model to determine the vacuum pressure on the quarks in a baryon and hence their density inside. Then we estimate the baryonic masses by implementing the local density approximation for the mean field quark…

Nuclear Theory · Physics 2014-11-18 W. M. Alberico , F. Giacosa , M. Nardi , C. Ratti

A nonlocal chiral quark model is consistently extended beyond mean field using a strict 1/Nc expansion scheme. The parameters of the nonlocal model are refitted so that the physical values of the pion mass and the weak pion decay constant…

High Energy Physics - Phenomenology · Physics 2015-03-17 A. E. Radzhabov , D. Blaschke , M. Buballa , M. K. Volkov

We study aspects of the pion condensation in two-flavor neutral quark matter using the Nambu--Jona-Lasinio model of QCD at finite density. We investigate the role of electric charge neutrality, and explicit symmetry breaking via quark mass,…

High Energy Physics - Phenomenology · Physics 2010-04-21 H. Abuki , R. Anglani , R. Gatto , M. Pellicoro , M. Ruggieri

A representation of the two-loop contribution to the pion decay constant in $SU(3)$ chiral perturbation theory is presented. The result is analytic upto the contribution of the three (different) mass sunset integrals, for which an expansion…

High Energy Physics - Phenomenology · Physics 2017-10-06 B. Ananthanarayan , Johan Bijnens , Shayan Ghosh

We study the lattice cutoff ($a$) and quark mass dependences of pion masses and decay constants in the $N_f = 2$ twisted mass QCD, using the Wilson chiral perturbation theory to the next leading order (NLO). In order to investigate the…

High Energy Physics - Lattice · Physics 2011-11-02 Satoru Ueda , Sinya Aoki

Rapid rotation may exist in physical systems such as non-central heavy ion collisions and neutron stars. Using functional renormalization group analysis of the quark-meson model, we investigate the effects of real and imaginary rotation on…

High Energy Physics - Phenomenology · Physics 2024-03-01 Hao-Lei Chen , Zhi-Bin Zhu , Xu-Guang Huang

We present a novel analysis of the $\pi N$ scattering amplitude in Lorentz covariant baryon chiral perturbation theory renormalized in the extended-on-mass-shell scheme. This amplitude, valid up to $\mathcal{O}(p^3)$ in the chiral…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. M. Alarcon , J. Martin Camalich , J. A. Oller

A short-distance heavy quark mass depends on two parameters, the renormalization scale mu controlling the absorption of ultraviolet fluctuations into the mass, and a scale R controlling the absorption of infrared fluctuations. 1/R can be…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andre H. Hoang , Ambar Jain , Ignazio Scimemi , Iain W. Stewart

We discuss the low-energy analysis of models involving quarks and four-fermion couplings. The relation with QCD and with other models of mesons and meson plus quarks at low energies is discussed. A short description of how the heat-kernel…

High Energy Physics - Phenomenology · Physics 2015-06-25 Johan Bijnens

Schemes for describing the light quark mass dependence of the nucleon mass calculated in lattice QCD are compared. The three schemes in consideration include a fully relativistic and Lorentz covariant scheme, one that is fully relativistic…

High Energy Physics - Phenomenology · Physics 2024-06-28 Shiryo Owa , Derek B. Leinweber , Anthony W. Thomas , Xuan-Gong Wang

The baryonic form factor of charged pions is studied in detail in the Nambu--Jona-Lasinio model with constituent quarks, where the spontaneously broken chiral symmetry is the key dynamical ingredient guaranteeing the would-be Goldstone…

High Energy Physics - Phenomenology · Physics 2022-08-17 Wojciech Broniowski , Enrique Ruiz Arriola , Pablo Sanchez-Puertas