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Gauge-invariant quantum fields are constructed in an Abelian power-counting renormalizable gauge theory with both scalar, vector and fermionic matter content. This extends previous results already obtained for the gauge-invariant…

高能物理 - 理论 · 物理学 2024-10-08 Andrea Quadri

In this review we present some of the fundamental mathematical structures which permit to define noncommutative gauge field theories. In particular, we emphasize the theory of noncommutative connections, with the notions of curvatures and…

数学物理 · 物理学 2015-06-03 Thierry Masson

Endomorphisms algebras can replace the concept of principal fiber bundle. Gauge theories are reformulated within this algebraic framework and further generalized to unify ordinary connections and Higgs fields. A 'noncommutative Maxwell'…

数学物理 · 物理学 2007-05-23 Emmanuel Serie

The possibility of non-trivial representations of the gauge group on wavefunctionals of a gauge invariant quantum field theory leads to a generation of mass for intermediate vector and tensor bosons. The mass parameters m show up as central…

高能物理 - 理论 · 物理学 2009-10-31 M. Calixto , V. Aldaya

We show that after the Seiberg-Witten map is performed the action for noncommutative field theories can be regarded as a coupling to a field dependent gravitational background. This gravitational background depends only on the gauge field.…

高能物理 - 理论 · 物理学 2009-11-07 Victor O. Rivelles

We present a reformulation of gauge theories in terms of gauge invariant fields. Focusing on Abelian theories, we show that the gauge and matter covariant fields can be recombined to introduce new gauge invariant degrees of freedom.…

量子物理 · 物理学 2021-12-17 Pierpaolo Fontana , Joao C. Pinto Barros , Andrea Trombettoni

Consistent interactions that can be added to a free, Abelian gauge theory comprising a BF model and a finite set of massless real scalar fields are constructed from the deformation of the solution to the master equation based on specific…

高能物理 - 理论 · 物理学 2016-07-06 Constantin Bizdadea , Solange-Odile Saliu

The aim of the present article is to give physical meaning to the ingredients of standard gauge field theory in the framework of the scale relativity theory. Owing to the principle of the relativity of scales, the scale-space is not…

高能物理 - 理论 · 物理学 2007-05-23 L. Nottale , M. N. Celerier , T. Lehner

Non-standard topics underlying a partly original approach to gauge field theory are concisely introduced, expressing ideas that were broached in several papers and, eventually, exposed in an organized form in a recently published book. By…

数学物理 · 物理学 2020-11-16 Daniel Canarutto

The construction of a gauge field theory for elementary particles usually starts by promoting global invariance of the matter action to a local one, this in turn implying the introduction of gauge fields. We present here a procedure that…

数学物理 · 物理学 2011-10-19 C. A. Garcia Canal , F. A. Schaposnik

We reconsider a scenario in which photons and other gauge fields appear as the composite vector bosons made of the fermion pairs that may happen with or without spontaneous violation of Lorentz invariance. The class of composite models for…

高能物理 - 唯象学 · 物理学 2021-04-14 J. L. Chkareuli

We review some recent work by Carone, Erlich and Vaman on composite gravitons in metric-independent quantum field theories, with the aim of clarifying a number of basic issues. Focusing on a theory of scalar fields presented previously in…

高能物理 - 理论 · 物理学 2020-02-19 Christopher D. Carone

Gauge theories with finite gauge groups have applications to quantum simulation and quantum gravity. Recently, the exact number of gauge-invariant states was computed for pure gauge theories on arbitrary lattices. In this work, we…

量子物理 · 物理学 2025-11-20 Alessandro Mariani

Using the formalism of noncommutative geometric gauge theory based on the superconnection concept, we construct a new type of vector gauge theory possessing a shift-like symmetry and the usual gauge symmetry. The new shift-like symmetry is…

高能物理 - 理论 · 物理学 2009-10-30 Chang-Yeong Lee

Starting from a standard noncommutative gauge theory and using the Seiberg-Witten map we propose a new version of a noncommutative gravity. We use consistent deformation theory starting from a free gauge action and gauging a killing…

高能物理 - 理论 · 物理学 2014-11-20 Ignacio Cortese , J Antonio García

In this paper, we discuss a gravitational theory based on the generalized gauge field. Our Lagrangian is invariant not only under local Lorentz transformation and the ordinary gauge transformation but also under a new gauge transformation.…

高能物理 - 理论 · 物理学 2012-07-03 Kouzou Nishida

On the lattice some of the salient features of pure gauge theories and of gauge theories with fermions in complex representations of the gauge group seem to be lost. These features can be recovered by considering part of the theory in the…

高能物理 - 格点 · 物理学 2009-10-22 M. Goeckeler , A. S. Kronfeld , G. Schierholz , U. -J. Wiese

New method for construction of gauge-invariant deformed theory from an initial gauge theory proposed in our previous papers [1], [2] for closed/open gauge algebras is extended to the case of reducible gauge algebras. The deformation…

高能物理 - 理论 · 物理学 2022-05-16 P. M. Lavrov

The concept of perturbative gauge invariance formulated exclusively by means of asymptotic fields is used to construct massive gauge theories. We consider the interactions of $r$ massive and $s$ massless gauge fields together with $(r+s)$…

高能物理 - 理论 · 物理学 2009-10-31 Günter Scharf

A very simple field theory in noncommutative phase space X^{M},P^{M} in d+2 dimensions, with a gauge symmetry based on noncommutative u*(1,1), furnishes the foundation for the field theoretic formulation of Two-Time Physics. This leads to a…

高能物理 - 理论 · 物理学 2009-11-07 Itzhak Bars
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