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One of the main features of unified models, based on affine geometries, is that all possible interactions and fields naturally arise under the same standard. Here, we consider, from the effective Lagrangian of the theory, the torsion…

High Energy Physics - Theory · Physics 2014-04-09 Diego Julio Cirilo-Lombardo , Salvatore Capozziello , Alexander Dorokhov

We assign the chiral fermion fields of the Standard model to triplets of flavor (family, generation, horizontal) $SU(3)_f$ symmetry, for anomaly freedom add one triplet of sterile right-handed neutrino fields, and gauge that symmetry. First…

High Energy Physics - Phenomenology · Physics 2016-12-01 Jiri Hosek

We study relativistic fermions in three euclidean dimensions with four- and six-fermion interactions of the Gross-Neveu type. In the limit of many fermion flavors, and besides the isolated free fixed point, the theory displays a line of…

High Energy Physics - Theory · Physics 2023-05-04 Charlie Cresswell-Hogg , Daniel F. Litim

We consider a string inspired non-supersymmetric extension of the standard model with gauged anomalous U(1) flavor symmetries. Consistency requires the Green-Schwarz mechanism to cancel mixed anomalies. The additional required scalars…

High Energy Physics - Theory · Physics 2013-05-29 David Berenstein , Erik Perkins

(N=2)-superspace without torsion is described, which is equivalent to an 8-space with a discrete internal subspace. A number and a character of ties determine now an internal symmetry group, while in the supersymmetrical models this one is…

High Energy Physics - Theory · Physics 2007-05-23 Michael A. Ivanov

The Thirring model in 2+1 spacetime dimensions, in which $N$ flavors of relativistic fermion interact via a contact interaction between conserved fermion currents, is studied using lattice field theory simulations employing domain wall…

High Energy Physics - Lattice · Physics 2019-02-20 Simon Hands

The standard wisdom on the origin of massless bosons in the spectrum of a Quantum Field Theory $(QFT)$ describing the interaction of gauge fields coupled to matter fields is based on two well known features: gauge symmetry, and spontaneous…

High Energy Physics - Lattice · Physics 2019-10-30 Vicente Azcoiti

K\"ahler's geometric approach in which relativistic fermion fields are treated as differential forms is applied in three spacetime dimensions. It is shown that the resulting continuum theory is invariant under global U($N)\otimes$U($N)$…

High Energy Physics - Lattice · Physics 2021-08-31 Simon Hands

We present a class of models based on a gauged $U(1)_F$ flavor symmetry that explains the hierarchical structure of fermion masses and mixings via the Froggatt-Nielsen (FN) mechanism, while also solving the strong CP problem by the…

High Energy Physics - Phenomenology · Physics 2026-03-02 K. S. Babu , Sai Charan Chandrasekar , Zurab Tavartkiladze

For all the success of the Standard Model (SM), it is on the verge of being surpassed. In this regard we argue, by showing a minimal flavor-structured model based on the non-Abelian discrete $SL_2(F_3)$ symmetry, that $U(1)$…

High Energy Physics - Phenomenology · Physics 2019-02-20 Y. H. Ahn

The observed small, positive cosmological constant may originate from a four-fermion interaction generated by the spin-torsion coupling in the Einstein-Cartan-Sciama-Kibble gravity if the fermions are condensing. In particular, such a…

General Relativity and Quantum Cosmology · Physics 2012-02-28 Nikodem J. Poplawski

In a chiral $U_L(N)\times U_R(N)$ fermion model of NJL-form, we prove that, if all the fermions are assumed to have equal masses and equal chemical potentials, then at the finite temperature $T$ below the symmetry restoration temperature…

High Energy Physics - Theory · Physics 2018-01-17 Bang-Rong Zhou

Decaying vacuum models are a class of models that incorporate the vacuum energy density as a time-evolving entity that has the potential to explain the entire evolutionary history of the universe in a single framework. A general solution to…

General Relativity and Quantum Cosmology · Physics 2021-03-30 Sarath N , Titus K. Mathew

Starting from an anomaly-free Abelian Higgs model coupled to gravity in a 6-dimensional space-time we construct an effective four-dimensional theory of charged fermions interacting with U(1) Abelian gauge field and gravity, both localised…

High Energy Physics - Theory · Physics 2009-11-10 Seif Randjbar-Daemi , Mikhail Shaposhnikov

Interacting theories of N relativistic fermion flavors in reducible spinor representations in 2+1 spacetime dimensions are formulated on a lattice using domain wall fermions (DWF), for which a U(2N) global symmetry is recovered in the limit…

High Energy Physics - Lattice · Physics 2016-11-23 Simon Hands

Propagation of fermions in spacetime requires a spin connection, which can be split into a universal gravitational part and a non-universal ``contorsion'' part. The latter is non-dynamical and can be eliminated from the theory, leaving an…

High Energy Physics - Phenomenology · Physics 2025-06-24 Riya Barick , Indrajit Ghose , Amitabha Lahiri

We consider a dark sector model containing stable fermions charged under an unbroken $U(1)$ gauge interaction, with a massless dark photon as force carrier, and interacting with ordinary matter via scalar messengers. We study its early…

High Energy Physics - Phenomenology · Physics 2020-10-14 Jan Tristram Acuña , Marco Fabbrichesi , Piero Ullio

We study a generic one-dimensonal quantum model of two flavors (pseudospins) chiral complex fermions by exact diagonalization, which can have local interflavor interaction and superconducting pairings (with all irrelevant terms ignored).…

Strongly Correlated Electrons · Physics 2022-09-15 Biao Lian

Motivated by the problem of N coupled Hubbard chains, we investigate a generalisation of the Schulz-Shastry model containing two species of one-dimensional fermions interacting via a gauge field that depends on the positions of all the…

Statistical Mechanics · Physics 2010-09-16 Ranjan Kumar Ghosh , P. K. Mohanty , Sumathi Rao

If the gravitino is light and all the other supersymmetric particles are heavy, we can consider the effective theory describing the interactions of its goldstino components with ordinary matter. To discuss the model-dependence of these…

High Energy Physics - Theory · Physics 2014-11-18 Andrea Brignole , Ferruccio Feruglio , Fabio Zwirner
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