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We render a thorough, physicist's account of the formulation of the Standard Model (SM) of particle physics within the framework of noncommutative differential geometry (NCG). We work in Minkowski spacetime rather than in Euclidean space.…

High Energy Physics - Theory · Physics 2008-11-26 C. P. Martin , Jose M. Gracia-Bondia , Joseph C. Varilly

Gravitational field is the manifestation of space-time translational ($T_4$) gauge symmetry, which enables gravitational interaction to be unified with the strong and the electroweak interactions. Such a total-unified model is based on a…

High Energy Physics - Theory · Physics 2013-09-19 Jong-Ping Hsu

Correct identification of the true gauge symmetry of General Relativity being 3d spatial diffeomorphism invariant(3dDI) (not the conventional infinite tensor product group with principle fibre bundle structure), together with intrinsic time…

General Physics · Physics 2017-04-19 Hoi Lai Yu

We give a pedagogical introduction to the physics of large extra dimensions. We focus our discussion on minimal extensions of the Standard Model in which gauge fields may propagate in a single, compact extra dimension while the fermions are…

High Energy Physics - Phenomenology · Physics 2017-08-23 Alexander Mück , Apostolos Pilaftsis , Reinhold Rückl

We present an approach of mass generation for Standard Model particles in which fermions acquire masses from their interactions with physical vacuum and gauge bosons acquire masses from charge fluctuations of vacuum. A remarkable fact of…

High Energy Physics - Phenomenology · Physics 2011-09-08 C. Quimbay , J. Morales

I present a modified version of the Manogue-Dray-Wilson `octions' model of elementary particles, that overcomes some of the objections to that model that have been raised. In particular, I restore the compactness of the Standard Model gauge…

High Energy Physics - Phenomenology · Physics 2025-07-29 Robert A. Wilson

When joined the unified gauge picture of fundamental interactions, the gravitation theory leads to geometry of a space-time which is far from simplicity of pseudo-Riemannian geometry of Einstein's General Relativity. This is geometry of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Sardanashvily

The Hermitian matrix model with general linear symmetry is argued to decouple into a finite unitary matrix model that contains metastable multidimensional lattice configurations and a fermion determinant. The simplest metastable state is a…

High Energy Physics - Theory · Physics 2010-07-20 Chris Belyea

Many four-dimensional supersymmetric compactifications of F-theory contain gauge groups that cannot be spontaneously broken through geometric deformations. These "non-Higgsable clusters" include realizations of $SU(3)$, $SU(2)$, and $SU(3)…

High Energy Physics - Theory · Physics 2015-06-23 Antonella Grassi , James Halverson , Julius Shaneson , Washington Taylor

Randall Sundrum models provide a possible explanation of (gauge-gravity) hierarchy, whereas discrete symmetry flavor groups yield a possible description of the texture of Standard Model fermion masses. We use both these ingredients to…

High Energy Physics - Phenomenology · Physics 2013-05-30 Carlos Alvarado , Alfredo Aranda , Olindo Corradini , Alma D. Rojas , Eli Santos-Rodriguez

In arXiv:2508.02747 a theory that unifies gravity and the Standard Model was proposed. It is finite, unitary, and accurately predicts all parameters of the Standard Model in terms of only two input parameters. Here I point out one…

High Energy Physics - Phenomenology · Physics 2025-08-18 James M. Cline

We discuss the problem of determining the spacetime structure. We show that when we are using only topological methods the spacetime can be modelled as an R- or Q-compact space although the R-compact spaces seem to be more appropriate.…

High Energy Physics - Theory · Physics 2007-05-23 Jan Sladkowski

We present a non-relativistic fermionic field theory in 2-dimensions coupled to external gauge fields. The singlet sector of the $c=1$ matrix model corresponds to a specific external gauge field. The gauge theory is one-dimensional (time)…

High Energy Physics - Theory · Physics 2015-06-26 Sumit R. Das , Avinash Dhar , Gautam Mandal , Spenta R. Wadia

Among $T^7/\Gamma$ orbifold compactifications of $M$-theory, we examine models containing the particle physics Standard Model in four-dimensional spacetimes, which appear as fixed subspaces of the ten-dimensional spacetimes at each end of…

High Energy Physics - Theory · Physics 2009-08-17 Mohammad K. Ahsan , Tristan Hubsch

In orbifold family unification on the basis of $SU(N)$ gauge theory on the six-dimensional space-time $M^4\times T^2/Z_m$ ($m=2, 3, 4, 6$), enormous numbers of models with three families of the standard model matter multiplets are derived…

High Energy Physics - Phenomenology · Physics 2018-09-12 Yuhei Goto , Yoshiharu Kawamura

An extension of the Standard Model is presented that leads to the possible existence of new gauge bosons with masses in the range of a few TeV. Due to the fact that their couplings to Standard Model fermions are strongly suppressed, it is…

High Energy Physics - Phenomenology · Physics 2018-10-31 Carlos Alvarado , Alfredo Aranda

We consider the Standard Model on a non-commutative space and expand the action in the non-commutativity parameter theta. No new particles are introduced, the structure group is SU(3) x SU(2) x U(1). We derive the leading order action. At…

High Energy Physics - Phenomenology · Physics 2011-01-05 X. Calmet , B. Jurco , P. Schupp , J. Wess , M. Wohlgenannt

We consider non-supersymmetric quiver theories obtained by orbifolding the N=4 supersymmetric U(K) gauge theory by a discrete Z_\Gamma group embedded in the SU(4) R-symmetry group. We explicitly find that in such theories there are no…

High Energy Physics - Theory · Physics 2015-06-26 Philippe Brax , Adam Falkowski , Zygmunt Lalak , Stefan Pokorski

In the framework of the four dimensional heterotic superstring with free fermions we present a revised version of the rank eight Grand Unified String Theories (GUST) which contain the $SU(3)_H$-gauge family symmetry. We also develop some…

High Energy Physics - Phenomenology · Physics 2019-08-15 A. A. Maslikov , I. A. Naumov , G. G. Volkov

I investigate the role of nonrenormalizable terms, up to order N=8, in a superstring derived standard--like model. I argue that nonrenormalizable terms restrict the gauge symmetry, at the Planck scale, to be $SU(3)\times SU(2)\times…

High Energy Physics - Theory · Physics 2009-10-22 Alon E. Faraggi