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We have investigated the use of pure spin-3/2 propagator with consistent interaction Lagrangians to describe the property of spin-3/2 resonance. For this purpose we use the antisymmetric tensor spinor representation. By using the primary…

Nuclear Theory · Physics 2019-09-30 T. Mart , J. Kristiano , S. Clymton

The structure of the reported excitation spectra of the light unflavored baryons is described in terms of multi-spin valued Lorentz group representations of the so called Rarita-Schwinger (RS) type (K/2, K/2)* [(1/ 2,0)+ (0,1/2)] with…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Kirchbach , M. Moshinsky , Yu. F. Smirnov

We present the lattice formulation of effective Lagrangians in which chiral symmetry is realized nonlinearly on the fermion fields. In this framework both the Wilson term removing unphysical doubler fermions and the fermion mass term do not…

High Energy Physics - Lattice · Physics 2009-11-10 S. Chandrasekharan , M. Pepe , F. D. Steffen , U. -J. Wiese

A realization of the approximation of the SU(3) leading representation with the microscopic Hamiltonian and a nucleon-nucleon interaction is presented in detail. An effective Hamiltonian reproducing results of calculations with some known…

Nuclear Theory · Physics 2015-06-26 G. F. Filippov , K. Kato , S. V. Korennov , Yu. A. Lashko

The algebraic consistency of spin and isospin at the level of an unbroken SU(2) gauge theory suggests the existence of an additional angular momentum besides the spin and isospin and also produces a full quaternionic spinor operator. The…

High Energy Physics - Theory · Physics 2007-05-23 M. D. Maia

We consider the phase diagram of the most general SU(4)-symmetric two-site Hamiltonian for a system of two fermions per site (ie self-conjugate $\bf 6$ representation) on the square lattice. It is known that this model hosts magnetic phases…

Strongly Correlated Electrons · Physics 2020-10-27 Olivier Gauthé , Sylvain Capponi , Matthieu Mambrini , Didier Poilblanc

Electromagnetic (EM) interactions are incorporated in a recently proposed effective field theory of the nuclear many-body problem. Earlier work with this effective theory exhibited EM couplings that are correct only to lowest order in both…

Nuclear Theory · Physics 2008-11-26 Brian D. Serot

We conjecture how the particle content of the standard model can emerge starting with a supersymmetric Wess-Zumino model in 1+1 dimensions (d = 2) with three real boson and fermion fields. Considering SU(3) transformations, the lagrangian…

High Energy Physics - Phenomenology · Physics 2016-01-12 P. J. Mulders

The Standard Model of electroweak interactions is shown to include a gauge theory for the observed scalar and pseudoscalar mesons. This is done by exploiting the consequences of embedding the SU(2)left X U(1) group into the chiral group of…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Machet

In the context of the free-fermionic formulation of the heterotic superstring, we construct a three generation N=1 supersymmetric SU(4)xSU(2)LxSU(2)R model supplemented by an SU(8) hidden gauge symmetry and five Abelian factors. The…

High Energy Physics - Theory · Physics 2008-11-26 G. K. Leontaris , J. Rizos

A Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry and contains scalar and spinor fields that…

High Energy Physics - Theory · Physics 2009-07-09 Miguel A. Bandres , Arthur E. Lipstein , John H. Schwarz

In the context of a strongly coupled Electroweak Symmetry Breaking, composite triplet of heavy vectors degenerate in mass belonging to the $SU(2)_{L+R}$ adjoint representation may arise from a new strong interaction invariant under the…

High Energy Physics - Phenomenology · Physics 2014-11-21 Antonio Enrique Carcamo Hernandez

Wigner's unitary representation of the Lorentz group is extended to a representation of the complex orthosymplectic Lie super group OSp_C(1|2) acting on Minkowski (3,1|4)-dimensional super space essentially by Hermitean conjugation. The…

Geometric Topology · Mathematics 2023-04-18 Robert Penner

We explicitly relate effective meson-baryon Lagrangian models, chiral bags, and Skyrmions in the following way. First, effective Lagrangians are constructed in a manner consistent with an underlying large-N_c QCD. An infinite set of graphs…

High Energy Physics - Phenomenology · Physics 2010-11-01 Nicholas Dorey , Michael Mattis

The effective action with homogeneous valence (off-diagonal) gluons as background fields in the extended SU(2) model of QCD is obtained in one-loop approximation. We keep the manifest gauge and Lorentz invariance during whole calculation by…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho , Haewon Lee , D. G. Pak

The $SU(3)$ chiral effective lagrangian at next-to-leading order is applied to the S-wave meson-baryon interaction in the energy range around the $\eta N$ threshold. Potentials are derived from this lagrangian and used in a coupled channel…

Nuclear Theory · Physics 2009-10-28 N. Kaiser , P. B. Siegel , W. Weise

We perform the first convergent Bayesian global fits of 4D Composite Higgs Models with partially-composite third generation quarks and leptons based on the minimal $SO(5) \rightarrow SO(4)$ symmetry breaking pattern. We consider two models…

High Energy Physics - Phenomenology · Physics 2024-07-02 Ethan Carragher , Kenn Shern Goh , Wei Su , Martin White , Anthony G. Williams

We construct effective Lagrangians of the Veneziano-Yankielowicz (VY) type for two non-supersymmetric theories which are orientifold daughters of supersymmetric gluodynamics (containing one Dirac fermion in the two-index antisymmetric or…

High Energy Physics - Theory · Physics 2009-11-10 F. Sannino , M. Shifman

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

Composite Higgs models are promising candidate models to address the long-standing naturalness problem in the Standard Model. Among them, the most minimal one is the SU(2) with 2 flavours of fermions in the fundamental representation of the…

High Energy Physics - Lattice · Physics 2019-10-31 Tadeusz Janowski , Vincent Drach , Sasa Prelovsek