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I briefly discuss effective Lagrangians for strong interactions while concentrating on two specific lagrangians for QCD at large matter density. I then introduce spectral duality in QCD a la Montonen and Olive. The latter is already present…

High Energy Physics - Phenomenology · Physics 2007-05-23 Francesco Sannino

The diquark is a strongly correlated quark pair that plays an important role in hadrons and hadronic matter. In order to treat the diquak as a building block of hadrons, we formulate an effective theory of diquark fields with $SU(3)_R…

High Energy Physics - Phenomenology · Physics 2020-04-01 Masayasu Harada , Yan-Rui Liu , Makoto Oka , Kei Suzuki

In this paper we consider a general $SU(2)_L\otimes SU(2)_R$ invariant Lagrangian describing scalar, vector and axial-vector resonances. By expanding the WW and the ZZ scattering amplitude up to the fourth order in the external momenta we…

High Energy Physics - Phenomenology · Physics 2009-10-30 R. Casalbuoni , S. De Curtis , D. Dominici

In a local gauge-invariant theory with massless Dirac fermions a symmetry of the Lorentz-invariant fermion charge is larger than a symmetry of the Lagrangian as a whole. While the Dirac Lagrangian exhibits only a chiral symmetry, the…

High Energy Physics - Phenomenology · Physics 2019-01-14 L. Ya. Glozman

We constrain the $S$-wave baryon-baryon interaction using SU(6) symmetry within a nonrelativistic effective field theory. The most general leading-order Lagrangian contains two independent parameters, which we determine using physical $NN$…

Nuclear Theory · Physics 2026-01-22 Tao-Ran Hu , Feng-Kun Guo

A hyperon-nucleon potential for the strangeness $S=-1$ sector ($\Lambda N$, $\Sigma N$) up to third order in the chiral expansion is presented. SU(3) flavor symmetry is imposed for constructing the interaction, however, the explicit SU(3)…

Nuclear Theory · Physics 2023-04-07 Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga , Hoai Le

Truncating the low-lying modes of the lattice Dirac operator results in an emergence of the chiral-spin symmetry $SU(2)_{CS}$ and its flavor extension $SU(2N_F)$ in hadrons. These are symmetries of the quark - chromo-electric interaction…

High Energy Physics - Phenomenology · Physics 2019-06-05 Marco Catillo , Leonid Ya. Glozman , Christian B. Lang

Quark flavor mixing may originate in the soft breaking of horizontal symmetries. Those symmetries, which in the simplest case are three family U(1) groups, are obeyed only by the dimension-4 Yukawa couplings and lead, when unbroken, to the…

High Energy Physics - Phenomenology · Physics 2009-11-10 W. Grimus , L. Lavoura

In earlier publications we have analyzed the strong and radiative decays of heavy hadrons in a formalism which incorporates both heavy-quark and chiral symmetries. In particular, we have derived a heavy-hadron chiral Lagrangian whose…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Y. Cheng , C. Y. Cheung , G. L. Lin , Y. C. Lin , T. M. Yan , H. L. Yu

It has been found very recently on the lattice that at high temperature at vanishing chemical potential QCD is increasingly SU(2)_CS and SU(2N_F) symmetric. We demonstrate that the chemical potential term in the QCD Lagrangian has precisely…

High Energy Physics - Phenomenology · Physics 2018-08-01 L. Ya. Glozman

By considering the one loop background field method for a quark-antiquark interaction, mediated by one (non perturbative) gluon exchange, sixth order quark effective interactions are derived and investigated in the limit of zero momentum…

High Energy Physics - Phenomenology · Physics 2024-10-15 Fabio L. Braghin

We derive a master formula for chiral $SU(2)\times SU(2)$ breaking, based on the Veltman-Bell equations and the Peierls-Dyson relation. Our approach does not rely on the use of the soft pion limit or an expansion around the chiral limit,…

High Energy Physics - Phenomenology · Physics 2014-11-17 HIDENAGA YAMAGISHI , ISMAIL ZAHED

We elaborate on a recently found SU(5) relation confined to the up-(s)quark flavour space, that remains immune to large quantum corrections up to the TeV scale. We investigate the possibilities opened by this new window on the GUT scale in…

High Energy Physics - Phenomenology · Physics 2015-04-29 Sylvain Fichet , Björn Herrmann , Yannick Stoll

We try to understand the polarization puzzle in $B\to \phi K^*$ decays with a simple Higgs model associated with flavor changing neutral current at tree level. The new interactions can effectively reduce the longitudinal polarization…

High Energy Physics - Phenomenology · Physics 2009-11-11 Chuan-Hung Chen , Chao-Qiang Geng

Extensions of the NJL model which go beyond the original 4-quark interaction, which drives the dynamical mass generation, have proven to be quite successful in describing low energy hadronic phenomenology. The inclusion of 8-quark…

High Energy Physics - Phenomenology · Physics 2017-12-04 J. Moreira , J. Morais , B. Hiller , A. A. Osipov , A. H. Blin

A chiral Lagrangian with $ SU(3) $ breaking and higher resonances is proposed. In this model, the $ SU(3) $ breaking structure in vector-pseudoscalar sector is realized with the decay constants of pseudoscalar mesons and the masses of…

High Energy Physics - Phenomenology · Physics 2017-02-01 M. Hayakawa , T. Kurimoto , A. I. Sanda

We review heavy quark flavor and spin symmetries, their exploitation in heavy meson effective theories and the flavored couplings of charmed and light mesons in the definition of their effective Lagrangians. We point out how nonperturbative…

High Energy Physics - Phenomenology · Physics 2022-09-21 Bruno El-Bennich , Fernando E. Serna

A possible experimental observation of the chiral magnetic effect in heavy ion collisions at RHIC was recently reported by the STAR Collaboration. We study signatures of this effect in SU(2) lattice gluodynamics with the chirally invariant…

High Energy Physics - Lattice · Physics 2010-11-05 P. V. Buividovich , M. N. Chernodub , E. V. Luschevskaya , M. I. Polikarpov

We study supersymmetric QCD with N_f<N_c in the limit of small supersymmetry-breaking masses and smaller quark masses using the weak-coupling Kahler potential. We calculate the full spectrum of this theory, which manifests a chiral symmetry…

High Energy Physics - Theory · Physics 2016-08-25 Stephen P. Martin , James D. Wells

The spectrum of baryons containing heavy quarks of one flavor is described in terms of representations of the group SU(2) X SU(6), where the two factor groups refer to spin rotations of the heavy quarks and spin-flavor rotations of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Richard F. Lebed