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The recent introduction of a deformed non-minimal version of the noncommutative Standard Model in the enveloping-algebra approach, having a one-loop renormalisable gauge sector involving a higher order gauge term, motivates us to consider…

High Energy Physics - Theory · Physics 2010-04-30 C. Tamarit , J. Trampetic

Physics beyond the Fermi scale could show up through deviations of the gauge couplings predicted by the electroweak Yang-Mills sector. This possibility is explored in the context of the International Linear Collider (ILC) through the…

High Energy Physics - Phenomenology · Physics 2015-06-16 J. I. Aranda , F. Ramirez-Zavaleta , D. A. Rosete , F. J. Tlachino , J. J. Toscano , E. S. Tututi

We describe an extension of special relativity characterized by {\it three} invariant scales, the speed of light, $c$, a mass, $\kappa$ and a length $R$. This is defined by a non-linear extension of the Poincare algerbra, $\cal A$, which we…

High Energy Physics - Theory · Physics 2009-11-10 J. Kowalski-Glikman , Lee Smolin

In math.AC/9608214 it was shown that fields of generalized power series cannot admit an exponential function. In this paper, we construct fields of generalized power series with bounded support which admit an exponential. We give a natural…

Logic · Mathematics 2007-05-23 Salma Kuhlmann , Saharon Shelah

We use the mathematical framework of loop quantum gravity (LQG) to study the quantization of three dimensional (Riemannian) gravity with positive cosmological constant (Lambda>0). We show that the usual regularization techniques (successful…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alejandro Perez , Daniele Pranzetti

We introduce and define the phenomenological parameter $\kappa$, defined by $\Delta a/g = \kappa \, \Delta(q/m)$, to quantify potential linear coupling between electric charge and gravitational acceleration. A synthesis of existing…

High Energy Physics - Phenomenology · Physics 2026-05-13 Renato Vieira dos Santos

We construct a manifestly gauge invariant Lagrangian in 3+1 dimensions for N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example, if the bulk is 4+1, the effective theory is \Pi_{i=1}^{N+1} SU(m)_i with N chiral (\bar{m},m)…

High Energy Physics - Theory · Physics 2009-11-07 Christopher T. Hill , Stefan Pokorski , Jing Wang

We present the quantum and classical mechanics formalisms for a particle with position-dependent mass in the context of a deformed algebraic structure (named $\kappa$-algebra), motivated by the Kappa-statistics. From this structure we…

Quantum Physics · Physics 2020-07-23 Bruno G. da Costa , Ignacio S. Gomez , Mariela Portesi

We discuss the applicability of the argument of Collins, P\'erez, Sudarsky, Urrutia and Vucetich to loop quantum gravity. This argument suggests that Lorentz violations, even ones that only manifest themselves at energies close to the…

General Relativity and Quantum Cosmology · Physics 2012-02-13 Rodolfo Gambini , Saeed Rastgoo , Jorge Pullin

The CP-violating charge asymmetry in decays K+- --> \pi+- \gamma\gamma, which is induced by the electromagnetic penguin operators, has been studied both in thestandard model and in its extensions. Because of a large enhancement of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Dao-Neng Gao

We propose to deploy limits that arise from different tests of the Pauli Exclusion Principle in order: i) to provide theories of quantum gravity with an experimental guidance; ii) to distinguish among the plethora of possible models the…

High Energy Physics - Theory · Physics 2019-01-04 Andrea Addazi , Pierluigi Belli , Rita Bernabei , Antonino Marciano

All quantum gravity approaches lead to small modifications in the standard laws of physics which lead to violations of Lorentz invariance. One particular example is the extended standard model (SME). Here, a general phenomenological…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Claus Laemmerzahl , Alfredo Macias , Holger Mueller

We construct an complex scalar field theory in $\kappa$-Minkowksi spacetime, which respects $\kappa$-deformed Poincar\'e symmetry. One-loop calculation shows that the theory is finite and needs finite renormalization to be compatible with…

High Energy Physics - Theory · Physics 2008-02-27 Chaiho Rim

Bluhm-Kostelecky (BK) Lagrangian to test Lorentz violation with spin-polarised test bodies is shown to be transformed to a torsion-coupling constant Lagrangian by taking into account the Fock-Ivanenko coefficients in spinor form. In this…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. C. Garcia de Andrade

We study extensions of the Standard Model with general new vector bosons. The full Standard Model gauge symmetry is used to classify the extra vectors and constrain their couplings. We derive the corresponding effective Lagrangian, valid at…

High Energy Physics - Phenomenology · Physics 2025-02-05 F. del Aguila , J. de Blas , M. Perez-Victoria

Quantum gravity effects of zeroth order in the Planck constant are investigated in the framework of the low-energy effective theory. A special emphasis is placed on establishing the correspondence between classical and quantum theories, for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kirill A. Kazakov

The non-Leibniz formalism is introduced in this article. The formalism is based on the generalized differentiation operator (kappa-operator) with a non-zero Leibniz defect. The Leibniz defect of the introduced operator linearly depends on…

General Physics · Physics 2017-12-06 V. Kobelev

The non-commutative geometry offers an effective framework for describing physics at the Planck scale, incorporating generic quantum-gravitational effects through an intrinsic minimal length and the $\kappa$-deformed space-time stands out…

High Energy Physics - Theory · Physics 2025-11-17 Vishnu Rajagopal , Puxun Wu

We explore the properties of a new Maxwell electrodynamics coupled to a Lorentz-violating background through the presence of higher-derivative terms. Physical implications of this alternative effective theory modified by Lorentz-violating…

High Energy Physics - Theory · Physics 2019-05-03 Patricio Gaete , José Abdalla Helayël-Neto

We consider the Kato problem and extensions for degenerate elliptic operators of arbitrary order $2m$ ($m\geq 1$), whose coefficients are measurable, complex-valued and satisfy the G$\mathring{a}$rding inequality with respect to a…

Analysis of PDEs · Mathematics 2025-11-07 Guoming Zhang