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A flavor SU(2) effective model for pions and quarks is derived by considering polarization effects departing from the usual quark-quark effective interaction induced by dressed gluon exchange, i.e. a global color model for QCD. For that,…

High Energy Physics - Phenomenology · Physics 2016-05-30 Fabio L. Braghin

In this work corrections to the usual flavor SU(2) Nambu-Jona-Lasinio coupling due to a weak external magnetic field are calculated by considering quark polarization in a (dressed) gluon exchange mechanism for quark interactions. The quark…

High Energy Physics - Phenomenology · Physics 2016-10-26 Fabio L. Braghin

The effective quark interactions that break explicitly the chiral SU(3)_L X SU(3)_R and U_A(1) symmetries by current-quark mass source terms are considered in NLO in $N_c$ counting. They are of the same order as the 't Hooft flavor…

High Energy Physics - Phenomenology · Physics 2014-11-11 A. A. Osipov , B. Hiller , A. H. Blin

In a long distance Lagrangian approach to the low lying meson phenomenology we present and discuss the most general spin zero multi-quark interaction vertices of non-derivative type which include a set of effective interactions proportional…

High Energy Physics - Phenomenology · Physics 2013-10-02 A. A. Osipov , B. Hiller , A. H. Blin

We construct the most general chiral effective Lagrangian for baryon-baryon contact interactions in flavor SU(3) up to order q^2 using a covariant power counting. A subset of these contact terms contributes to the baryon-baryon potential in…

Nuclear Theory · Physics 2013-09-24 Stefan Petschauer , Norbert Kaiser

Chiral perturbation theory in the two--flavour sector allows one to analyse Green functions in QCD in the limit where the strange quark mass is considered to be large in comparison to the external momenta and to the light quark masses m_u…

High Energy Physics - Phenomenology · Physics 2015-05-14 Juerg Gasser , Christoph Haefeli , Mikhail A. Ivanov , Martin Schmid

We compute the spectrum of SU(2) gauge theory with two, four or six Dirac fermions in the fundamental representation of the gauge group. We investigate the scaling of the meson masses as a function of the quark mass when approaching the…

High Energy Physics - Lattice · Physics 2018-06-20 Alessandro Amato , Viljami Leino , Kari Rummukainen , Kimmo Tuominen , Sara Tähtinen

The path integral formulation is given to obtain quark and antiquark distribution functions in the nucleon within the flavor SU(3) version of the chiral quark soliton model. The basic model action is a straightforward generalization of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Wakamatsu

The nonlocal version of the SU(2)xSU(2) symmetric four-quark interaction of the NJL type is considered. Each of the quark lines contains the form factors. These form factors remove the ultraviolet divergences in quark loops. The additional…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. E. Radzhabov , M. K. Volkov

Standard SU(2) Heavy Baryon Chiral Perturbation Theory is extended in order to include the case of small or even vanishing quark condensate. The effective lagrangian is given to ${\cal O}(p^2)$ in its most general form and to ${\cal…

High Energy Physics - Phenomenology · Physics 2011-09-13 Robert Baur , Joachim Kambor

We call attention to a class of current-quark mass dependent multi-quark interaction terms which break explicitly the chiral $SU(3)_L\times SU(3)_R$ and $U_A(1)$ symmetries. They complete the set of effective quark interactions that…

High Energy Physics - Phenomenology · Physics 2013-09-23 A. A. Osipov , B. Hiller , A. H. Blin

If the SM Higgs boson does not exist, electroweak symmetry breaking may be realized via a strong interaction with a typical scale Lambda > 1 TeV. Resonances from the strong sector may help to unitarize WW scattering, which becomes strong in…

High Energy Physics - Phenomenology · Physics 2011-11-22 Francesco Bernardini , Francesco Coradeschi , Daniele Dominici

A nonlinear realization of SU(2) chiral symmetry spontaneous breaking approach is developed in the composite operator formalism. A Lagrangian including quark, gluon and Goldstone boson degrees of freedom of the chiral quark model is…

Nuclear Theory · Physics 2007-05-23 Xiao-Fu Lu , Bao-Xi Sun , Yu-Xin Liu , Hua Guo , En-Guang Zhao

The most general Lagrangian consistent with chiral, heavy quark, and strong interaction symmetries to order $1/M$ and to linear order in the SU(3) vector and axial currents is presented. Two new dimensionful and five dimensionless couplings…

High Energy Physics - Phenomenology · Physics 2010-11-01 C. G. Boyd , B. Grinstein

Vertex symmetry for interacting fermions will be shown to lead to a Lagrangian exhibiting $SU(2N)_W$ invariance associated with the subgroup $SU(2N)_q \times SU(2N)_{\bar{q}}$ generated by $C$-odd and $C$-even spin operators. Approximate…

High Energy Physics - Theory · Physics 2007-05-23 Sultan Catto

In this talk we first overview lattice results that have led to the observation of new SU(2)_{CS} and SU(2N_F) symmetries upon artificial truncation of the near-zero modes of the Dirac operator at zero temperature and at high temperature…

High Energy Physics - Lattice · Physics 2018-08-29 L. Ya. Glozman

We construct an effective Lagrangian for low energy hadronic interactions through an infinite expansion in inverse powers of the low energy cutoff $\Lambda_\chi$ of all possible chiral invariant non-renormalizable interactions between…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Pallante , R. Petronzio

Chiral effective theory of light diquarks is revisited. We construct an effective Lagrangian based on the linear representation of three-flavor chiral symmetry. Here, we focus on the effect of a chiral and $U(1)_A$ symmetric term originated…

High Energy Physics - Phenomenology · Physics 2025-02-18 Yonghee Kim , Makoto Oka , Kei Suzuki

Treating the strange quark mass as a heavy scale compared to the light quark mass, we perform a matching of the nucleon mass in the SU(3) sector to the two-flavor case in covariant baryon chiral perturbation theory. The validity of the $19$…

Nuclear Theory · Physics 2017-01-31 Xiu-Lei Ren , L. Alvarez-Ruso , Li-Sheng Geng , T. Ledwig , Jie Meng , M. J. Vicente Vacas

Applications imposing SU(3) chiral symmetry on non-relativistic field theory are considered. The first example is a calculation of the self-energy shifts of the spin-3/2 decuplet baryons in nuclear matter, from the chiral effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Ouellette
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