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In one-dimensional (1D) non-perturbative many-electron problems such as the 1D Hubbard model the electronic charge and spin degrees of freedom separate into exotic quantum objects. However, there are two different representations for such…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo , K. E. Hibberd , N. Andrei

The application of fermion-boson symmetry to the standard model leads to the following: first, there are three generations of scalar quarks and scalar leptons in addition to the known quarks and leptons, and, secondly, the divergences in…

General Physics · Physics 2018-12-06 Sau Lan Wu , Tai Tsun Wu , Chen Zhou

We show that the leading coupling between a shift symmetric inflaton and the Standard Model fermions leads to an induced electroweak symmetry breaking due to particle production during inflation, and as a result, a unique oscillating…

High Energy Physics - Phenomenology · Physics 2020-01-29 Anson Hook , Junwu Huang , Davide Racco

We review some fractional free boundary problems that were recently considered for modeling anomalous phase-transitions. All problems are of Stefan type and involve fractional derivatives in time according to Caputo's definition. We survey…

Analysis of PDEs · Mathematics 2020-02-18 Andrea N. Ceretani

In several self-coupled quantum field theories when treated in semi-classical limit one obtains solitonic solutions determined by topology of the boundary conditions. Such solutions, e.g. magnetic monopole in unified theories…

High Energy Physics - Phenomenology · Physics 2007-05-23 Abhijit Gadde , Narendra Sahu , Urjit A. Yajnik

We review the factorization of the $S$-matrix elements in the context of particle scattering off an external field, which can serve as a model for the field of a large nucleus. The factorization takes the form of a convolution of light cone…

High Energy Physics - Phenomenology · Physics 2025-03-12 Athanasia-Konstantina Angelopoulou , Anh Dung Le , Stéphane Munier

We show how, using multipartite entanglement, the symmetries among bosons and fermions of the Standard Model of particle physics emerge. Fermions belong to tripartite maximally entangled classes starting with basic chiral right and left…

High Energy Physics - Phenomenology · Physics 2018-11-14 P. J. Mulders

The Carroll algebra is constructed as the $c\to0$ limit of the Poincare algebra and is associated to symmetries on generic null surfaces. In this paper, we begin investigations of Carrollian fermions or fermions defined on generic null…

High Energy Physics - Theory · Physics 2023-04-19 Arjun Bagchi , Aritra Banerjee , Rudranil Basu , Minhajul Islam , Saikat Mondal

Could one use supersymmetry to relate the fermions, constituants of matter, with the bosons messengers of the interactions? This is, ideally, what a symmetry between fermions and bosons would be expected to do. However many obstacles…

High Energy Physics - Phenomenology · Physics 2009-11-07 Pierre Fayet

Robust topological edge modes may evolve into complex-frequency modes when a physical system becomes non-Hermitian. We show that, while having negligible forward optical extinction cross section, a conjugate pair of such complex topological…

Mesoscale and Nanoscale Physics · Physics 2016-12-02 C. W. Ling , Ka Hei Choi , T. C. Mok , Z. Q. Zhang , Kin Hung Fung

A field model of two-component fermions is described, the consequences of which coincide in the main with primary postulates of the standard model. Such a model can be constructed for 4 generations at the minimum. Peculiarities of the…

High Energy Physics - Theory · Physics 2008-11-26 Michael A. Ivanov

In several models of beyond Standard Model physics (BSM) discrete symmetries play an important role. For instance, in order to avoid flavor changing neutral currents (FCNC), a discrete $Z_2$ symmetry is imposed on Two-Higgs-Doublet-Models…

High Energy Physics - Phenomenology · Physics 2023-11-16 Mohamed Younes Sassi , Gudrid Moortgat-Pick

Symmetry fractionalization describes the fascinating phenomena that excitations in a 2D topological system can transform under symmetry in a fractional way. For example in fractional quantum Hall systems, excitations can carry fractional…

Strongly Correlated Electrons · Physics 2017-04-25 Xie Chen

Frustrated magnets can elude the paradigm of conventional symmetry breaking and instead exhibit signatures of emergent symmetries at low temperatures. Such symmetries arise from "accidental" degeneracies within the ground state manifold and…

Strongly Correlated Electrons · Physics 2025-08-25 Sagar Ramchandani , Simon Trebst , Ciarán Hickey

We investigate the dynamics of pairs of Fermions and Bosons released from a box and find that their populations have unique generic properties ensuing from the axioms of quantum statistics and symmetries. These depend neither on the…

Quantum Physics · Physics 2013-03-20 Avi Marchewka , Er'el Granot

We discuss a test of the Standard Model fermion mass origin in models of dynamical electroweak symmetry breaking. The couplings of composite pseudoscalar resonances to top quarks allow to distinguish high-scale Extended-Technicolor-type…

High Energy Physics - Phenomenology · Physics 2016-11-02 Tommi Alanne , Diogo Buarque Franzosi , Mads T. Frandsen

In this short note we use the geometric approach to (topological) field theory to address the question: Does an odd number of quantum mechanical fermions make sense?

High Energy Physics - Theory · Physics 2024-01-10 Daniel S. Freed , Michael J. Hopkins , Constantin Teleman

Supersymmetry is an algebraic property of a quantum Hamiltonian that, by giving every boson a fermionic superpartner and vice versa, may underpin physics beyond the Standard Model. Fractional bosonic and fermionic quasiparticles are…

It is shown that the quarks and leptons of the standard model, including a right-handed neutrino, can be obtained by gauging the holonomy groups of complex projective spaces of complex dimensions two and three. The spectrum emerges as…

High Energy Physics - Theory · Physics 2009-11-07 Brian P. Dolan , C. Nash

Fermion mass models usually contain a horizontal symmetry and therefore fail to predict the exponential mass spectrum of the Standard Model in a natural way. In dynamical symmetry breaking there are different concepts to introduce a fermion…

High Energy Physics - Phenomenology · Physics 2009-10-28 Andreas Blumhofer , Marcus Hutter