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Hierarchies of Lagrangians of degree two, each only partly determined by the choice of leading terms and with some coefficients remaining free, are considered. The free coefficients they contain satisfy the most general differential…

Classical Analysis and ODEs · Mathematics 2022-05-03 Ranses Alfonso-Rodriguez , S. Roy Choudhury

The relativistic chiral SU(3) Lagrangian is used to describe kaon-nucleon scattering imposing constraints from the pion-nucleon sector and the axial-vector coupling constants of the baryon octet states. We solve the covariant…

Nuclear Theory · Physics 2010-12-16 M. F. M. Lutz , E. E. Kolomeitsev

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

Effective interactions, when defined in a coarse grained sense, such as Vlowk at the scale 450 MeV, display a remarkable symmetry pattern. Serber symmetry works with high accuracy for spin triplet states. Wigner SU(4) spin-isospin symmetry…

Nuclear Theory · Physics 2011-02-03 E. Ruiz Arriola , A. Calle Cordon

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

A brief discussion of the recent interest in light scalar mesons motivates the study of a generalized linear sigma model. In an SU(3) flavor invariant version of the model there is a prediction that the the lighter scalars have sizeable…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amir H. Fariborz , Renata Jora , Joseph Schechter

Composite Higgs models, together with partial compositeness, predict the existence of new scalars and vector-like quarks (partners) at and above the TeV scale. Generically, the presence of these additional scalars opens up new decay…

High Energy Physics - Phenomenology · Physics 2022-03-31 Avik Banerjee , Diogo Buarque Franzosi , Gabriele Ferretti

We present a systematic construction of effective lagrangians for the low energy and momentum region of ferromagnetic and antiferromagnetic spin waves in crystalline solids. We fully exploit the spontaneous symmetry breaking pattern…

Condensed Matter · Physics 2009-10-30 J. M. Roman , J. Soto

The accuracy of effective chiral lagrangians including vector-mesons as (hidden symmetry) gauge fields is shown to be improved by taking into account SU(3)-breaking in the vector-meson sector. The masses, $M_V$, and couplings to the photon…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Bramon , A. Grau , G. Pancheri

We investigate a new class of scalar multi-galileon models, which is not included in the commonly admitted general formulation of generalized multi-galileons. The Lagrangians of this class of models, some of them having already been…

High Energy Physics - Theory · Physics 2017-04-05 Erwan Allys

A simple gauged linear sigma model with several parameters to take the symmetry breaking and the mass differences between the vector meson and the axial vector meson into account is considered here as a possibly useful template for the role…

High Energy Physics - Phenomenology · Physics 2015-05-13 Amir H. Fariborz , N. W. Park , Joseph Schechter , M. Naeem Shahid

We study the Lagrangian for a sigma model based on the non-compact Heisenberg group. A unique feature of this model -- unlike the case for compact Lie groups -- is that the definition of the Lagrangian has to be regulated since the trace…

High Energy Physics - Theory · Physics 2007-05-23 Belal E. Baaquie , Yim Kok Kean

A generalized Lagrangian for the description of hadronic matter based on the linear $SU(3)_L \times SU(3)_R$ $\sigma$-model is proposed. Besides the baryon octet, the spin-0 and spin-1 nonets, a gluon condensate associated with broken scale…

Nuclear Theory · Physics 2009-10-30 P. Papazoglou , S. Schramm , J. Schaffner-Bielich , H. Stöcker , W. Greiner

We construct low energy effective Lagrangians for 3d N=4 supersymmetric Yang-Mills theory with any gauge group. They represent supersymmetric sigma models at hyper-Kahlerian manifolds of dimension 4r (r is the rang of the group). In the…

High Energy Physics - Theory · Physics 2009-11-10 K. G. Selivanov , A. V. Smilga

We give a model for composite quarks and leptons based on the semisimple gauge group SU(4), with the preons in the 10 representation; this choice of gauge gluon and preon multiplets is motivated by the possibility of embedding them in an…

High Energy Physics - Theory · Physics 2016-09-06 Stephen L. Adler

In this paper, we extend the collinear superspace formalism to include the full range of $\mathcal{N} = 1$ supersymmetric interactions. Building on the effective field theory rules developed in a companion paper - "Navigating Collinear…

High Energy Physics - Theory · Physics 2020-03-25 Timothy Cohen , Gilly Elor , Andrew J. Larkoski , Jesse Thaler

We study the nucleon and three N* resonances' properties in an effective linear realization chiral SU_L(2) x SU_R(2) and U_A(1) symmetric Lagrangian. We place the nucleon fields into the so-called "naive" (1/2,0) + (0, 1/2) and "mirror" (0,…

High Energy Physics - Phenomenology · Physics 2010-03-24 V. Dmitrasinovic , A. Hosaka , K. Nagata

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

In the four dimensional free fermionic formulation of the heterotic string, a semi-realistic $SU(4)\times SU(2)_L \times SU(2)_R$ model is proposed with three fermion generations in $(4,2,1)+(\bar 4,1,2)$ representations. The gauge symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. K. Leontaris

The couplings of the electroweak effective theory contain information on the heavy-mass scales which are no-longer present in the low-energy Lagrangian. We build a general effective Lagrangian, implementing the electroweak chiral symmetry…

High Energy Physics - Phenomenology · Physics 2017-07-24 Antonio Pich , Ignasi Rosell , Joaquin Santos , Juan Jose Sanz-Cillero