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In [8], M.Daumens and M.Perroud studied a two Galilean free particles system by realizing the three dimensional Galilei group on its maximal coadjoint orbit. In this paper we realize a similar study for the one spatial dimesnional Galilei…

Mathematical Physics · Physics 2007-05-23 Joachim Nzotungicimpaye

We examine the renormalizability problem of spontaneously broken non-Abelian gauge theory on noncommutative spacetime. We show by an explicit analysis of the U(2) case that ultraviolet divergences can be removed at one loop level with the…

High Energy Physics - Theory · Physics 2010-02-03 Yi Liao

Supersymmetric quantum mechanics is formulated on a two dimensional noncommutative plane and applied to the supersymmetric harmonic oscillator. We find that the ordinary commutative supersymmetry is partially broken and only half of the…

High Energy Physics - Theory · Physics 2011-06-02 J Ben Geloun , F G Scholtz

The Gauss law plays a basic role in gauge theories, enforcing gauge invariance and creating edge states and superselection sectors. This article surveys these aspects of the Gauss law in QED, QCD and nonlinear $G/H$ models. It is argued…

High Energy Physics - Theory · Physics 2020-08-12 A. P. Balachandran , A. F. Reyes-Lega

We predict the exact gaugino mass relation near the electroweak scale at one loop for gravity mediated supersymmetry breaking in F-theory SU(5) and SO(10) models with U(1)_Y and U(1)_{B-L} fluxes, respectively. The gaugino mass relation…

High Energy Physics - Phenomenology · Physics 2015-03-13 Tianjun Li , James A. Maxin , Dimitri V. Nanopoulos

E. Noether's general analysis of conservation laws has to be completed in a Lagrangian theory with local gauge invariance. Bulk charges are replaced by fluxes of superpotentials. Gauge invariant bulk charges may subsist when distinguished…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Julia , S. Silva

It is well known that anomaly cancellation {\it almost} determines the hypercharges in the standard model. A related (and somewhat more stronger) phenomenon takes place in Connes' NCG framework: unimodularity (a technical condition on…

High Energy Physics - Theory · Physics 2019-08-17 Enrique Alvarez , J. M. Gracia-Bondía , C. P. Martín

On basis of an algebraic analysis of symmetry breaking in general and the Higgs mechanism in the standard model of elementary particles we generalize the concept of symmetry breaking to systems with non-compact groups but not necessarily…

High Energy Physics - Theory · Physics 2007-05-23 Martin Haft

We investigate how the predictions of the Minimal Supersymmetric Standard Model are modified by D-term contributions to soft scalar masses, which arise whenever the rank of the gauge group at very high energies is greater than four. We give…

High Energy Physics - Phenomenology · Physics 2009-10-28 Chris Kolda , Stephen P. Martin

Using the superfield formalism and implementing the canonical noncommutativity, the Kahlerian effective superpotential is evaluated in the three-dimensional noncommutative supersymmetric Chern--Simons-matter model at the two-loop order. The…

High Energy Physics - Theory · Physics 2012-06-21 A. C. Lehum

Galileon theories are of considerable interest since they allow for stable violations of the null energy condition. Since such violations could have occurred during a high-energy regime in the history of our universe, we are motivated to…

High Energy Physics - Theory · Physics 2015-05-27 Justin Khoury , Jean-Luc Lehners , Burt A. Ovrut

Hybrid $SU(2) \times U(1)$ models are the models in which $SU(2) \times U(1)$ symmetry is broken down not only spontaneously (as in the Standard Model), but also explicitely by adding a hard mass term for the U(1) field in the lagrangian.…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Yu. Ignatiev , G. C. Joshi

Supersymmetric (SUSY) models, even those described by relatively few parameters, generically allow many possible SUSY particle (sparticle) mass hierarchies. As the sparticle mass hierarchy determines, to a great extent, the collider…

High Energy Physics - Phenomenology · Physics 2015-04-17 James S. Gainer , Konstantin T. Matchev , Myeonghun Park

The connection between symmetries and conservation laws is a cornerstone of physics. It underlies Bloch's theorem which explains wave phenomena in all linear periodic systems. Here we demonstrate that, in a nonlinear grating with memory,…

We gauge the central charge of the N=2 supersymmetry algebra in rigid superspace. The Fayet Sohnius hypermultiplet with gauged central charge coincides on-shell with N=2 supersymmetric electrodynamics. The gauge couplings of the…

High Energy Physics - Theory · Physics 2007-05-23 N. Dragon , U. Theis

Spontaneously broken Abelian gauge symmetries can explain the fermion mass hierarchies of the minimal supersymmetric standard model. In most cases it is assumed that the $U(1)_H$ symmetry is anomalous. However, non-anomalous models are also…

High Energy Physics - Phenomenology · Physics 2007-05-23 Enrico Nardi

In a recent letter [Phys. Rev. Lett. {\bf 100}, 164101 (2008)] and within the context of quantized chaotic billiards, random plane wave and semiclassical theoretical approaches were applied to an example of a relatively new class of…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Denis Ullmo , Steven Tomsovic , Arnd Baecker

We report on a non-perturbative study of two dimensional $\cN=(2,2)$ super QCD. Our lattice formulation retains a single exact supersymmetry at non-zero lattice spacing, and contains $N_f$ fermions in the fundamental representation of a…

High Energy Physics - Lattice · Physics 2015-09-11 Simon Catterall , Aarti Veernala

A manifestly diffeomorphism invariant exact renormalization group requires extra diffeomorphism invariant ultraviolet regularisation at some effective cutoff scale $\Lambda$. This motivates construction of a `Parisi-Sourlas' supergravity,…

High Energy Physics - Theory · Physics 2020-08-04 Matthew Kellett , Tim R. Morris

The usual derivation of the Lagrangian of a model for massive vector bosons, by spontaneous symmetry breaking of a gauge theory, implies that the prefactors of the various interaction terms are uniquely determined functions of the coupling…

High Energy Physics - Theory · Physics 2016-01-01 Michael Duetsch