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Noncommutative geometric gauge theory is reconstructed based on the superconnection concept. The bosonic action of the Connes-Lott model including the symmetry breaking Higgs sector is obtained by using a new generalized derivative, which…

High Energy Physics - Theory · Physics 2008-11-26 Chang-Yeong Lee

We initiate the systematic construction of gauged matter-coupled supergravity theories in two dimensions. Subgroups of the affine global symmetry group of toroidally compactified supergravity can be gauged by coupling vector fields with…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben , Martin Weidner

Gauge-invariance is a fundamental concept in physics---known to provide the mathematical justification for all four fundamental forces. In this paper, we provide discrete counterparts to the main gauge theoretical concepts, directly in…

Formal Languages and Automata Theory · Computer Science 2018-07-03 Pablo Arrighi , Giuseppe Di Molfetta , Nathanaël Eon

We show that if a gauge theory with dynamical symmetry breaking has non-trivial fixed points, they will correspond to extrema of the vacuum energy. This relationship provides a different method to determine fixed points.

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Natale , P. S. Rodrigues da Silva

Gauge bosons associated to new gauge symmetries under which the standard model particles are not charged are predicted in many extensions of the standard model of particles and interactions. We show that under very general conditions, the…

High Energy Physics - Phenomenology · Physics 2013-10-01 J. A. R. Cembranos , A. L. Maroto , S. J. Nunez Jareno

We construct a four dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental…

High Energy Physics - Lattice · Physics 2021-11-02 Nouman Butt , Simon Catterall , Goksu Can Toga

We construct "soft-collinear gravity", the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power expansion. Despite the absence of…

High Energy Physics - Phenomenology · Physics 2022-04-14 Martin Beneke , Patrick Hager , Robert Szafron

In the dynamical gauge-Higgs unification the 4D Higgs field is unified with gauge fields and the electroweak symmetry is dynamically broken by the Hosotani mechanism. Interesting phenomenology is obtained in the Randall-Sundrum warped…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yutaka Hosotani

It is well known that a typical Yang-Mills Gauge Field is mediated by massless Bosons. It is only through a symmetry breaking mechanism, as in the Salam-Weinberg model that the quanta of such an interaction field acquire a mass in the usual…

General Physics · Physics 2007-05-23 B. G. Sidharth

A mechanism is presented through which very light scalar degrees of freedom obeying the nonlinear sigma model equation can emerge in spontaneously broken gauge theories. The mechanism operates in extra dimensional theories in which a) there…

High Energy Physics - Phenomenology · Physics 2016-09-01 Neil Turok

We show that key results of supersymmetry can be achieved via conformal symmetry. We propose that the Higgs boson be a dynamical bound state rather than an elementary scalar, so that there is no quadratic divergence self-energy problem for…

High Energy Physics - Phenomenology · Physics 2017-06-07 Philip D. Mannheim

Scalar lattice gauge theories are models for scalar fields with local gauge symmetries. No fundamental gauge fields, or link variables in a lattice regularization, are introduced. The latter rather emerge as collective excitations composed…

High Energy Physics - Lattice · Physics 2015-06-12 C. Wetterich

The class of Divergence-free symmetric tensors is ubiquitous in Continuum Mechanics. We show its invariance under projective transformations of the independent variables. This action, which preserves the positiveness, extends Sophus Lie's…

Analysis of PDEs · Mathematics 2021-08-03 Denis Serre

We derive and solve the compositeness condition for the SU(N_c) gauge boson at the next-to-leading order in 1/N_f (N_f is the number of flavors) and the leading order in ln(\Lambda ^2) (\Lambda is the compositeness scale) to obtain an…

High Energy Physics - Phenomenology · Physics 2008-02-03 Keiichi Akama , Takashi Hattori

In this note, I show that the recently proposed subleading soft factor in massless gauge theory uniquely follows from conformal symmetry of tree-level gauge theory amplitudes in four dimensions.

High Energy Physics - Theory · Physics 2014-10-08 Andrew J. Larkoski

We construct supersymmetric gauge theories with new mechanisms of dynamical supersymmetry breaking. The models have flat directions at the classical level, and different mechanisms lift these flat directions in different regions of the…

High Energy Physics - Phenomenology · Physics 2016-08-25 Markus A. Luty , John Terning

Gauge theory defined on the orbifold $M^4 \times (S^1/Z_2)$ is investigated from the viewpoint of the Hosotani mechanism. Rearrangement of gauge symmetry takes place due to the dynamics of Wilson line phases. The physical symmetry of the…

High Energy Physics - Phenomenology · Physics 2012-01-16 Naoyuki Haba , Masatomi Harada , Yutaka Hosotani , Yoshiharu Kawamura

Motivated by the close connection of tensor models to the SYK model, we use representation theory to construct the complete set of gauge invariant observables for bosonic and fermionic tensor models. Correlation functions of the gauge…

High Energy Physics - Theory · Physics 2017-09-20 Robert de Mello Koch , David Gossman , Laila Tribelhorn

We elaborate on the dynamics of noncommutative two-dimensional gauge field theories. We consider U(N) gauge theories with fermions in either the fundamental or the adjoint representation. Noncommutativity leads to a rather non-trivial…

High Energy Physics - Theory · Physics 2015-05-28 Adi Armoni

A systematic procedure is proposed for deriving all the gauge symmetries of the general, not necessarily variational, equations of motion. For the variational equations, this procedure reduces to the Dirac-Bergmann algorithm for the…

Mathematical Physics · Physics 2015-05-13 S. L. Lyakhovich , A. A. Sharapov