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Related papers: Low-energy constraints on kappa-Minkowski extensio…

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The theory of the $\kappa$-deformed Poincare algebra is applied to the analysis of various phenomena in special relativity, quantum mechanics and field theory. The method relies on the development of series expansions in $\kappa^{-1}$ of…

General Relativity and Quantum Cosmology · Physics 2009-11-05 J. P. Bowes , P. D. Jarvis

In this paper, we derive Lorentz force and Maxwell's equations on kappa-Minkowski space-time up to the first order in the deformation parameter. This is done by elevating the principle of minimal coupling to non-commutative space-time. We…

High Energy Physics - Theory · Physics 2012-02-10 E. Harikumar , T. Juric , S. Meljanac

We show that $\kappa$-Poincar\'e invariant gauge theories on $\kappa$-Minkowski space with physically acceptable commutative (low energy) limit must be 5-d. The gauge invariance requirement of the action fixes the dimension of the…

High Energy Physics - Theory · Physics 2021-04-06 Philippe Mathieu , Jean-Christophe Wallet

It is by now well established that the momentum space dual to the non-commutative $\kappa$-Minkowski space is a submanifold of de Sitter space. It has been noticed recently that field theories built on such momentum space suffer from a…

High Energy Physics - Theory · Physics 2010-01-15 M. Arzano , J. Kowalski-Glikman , A. Walkus

In this paper we have studied the nature of kinematical and dynamical laws in $\kappa $-Minkowski spacetime from a new perspective: the canonical phase space approach. We discuss a particular form of $\kappa$-Minkowski phase space algebra…

High Energy Physics - Theory · Physics 2008-11-26 Subir Ghosh , Probir Pal

We present a simple algebraic argument for the conclusion that the low energy limit of a quantum theory of gravity must be a theory invariant, not under the Poincare group, but under a deformation of it parameterized by a dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Giovanni Amelino-Camelia , Lee Smolin , Artem Starodubtsev

High sensitivity measurements in atomic spectroscopy were recently used in Amelino-Camelia et. al. to constraint the form of possible modifications of the energy-momentum dispersion relation resulting from Lorentz invariance violation…

High Energy Physics - Theory · Physics 2014-11-20 M. Arzano , J. Kowalski-Glikman , A. Walkus

We consider higher dimensional operators due to quantum gravity or spontaneous compactification of extra dimensions in Kaluza-Klein type theory and their effect in the $SO(10)$ Lagrangian. These operators change the boundary conditions at…

High Energy Physics - Phenomenology · Physics 2019-08-17 Alakabha Datta , Sandip Pakvasa , Utpal Sarkar

We construct a non-commutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 2008 (2020) 041. We obtain an exact (all orders in the non-commutativity parameter) expression for both…

High Energy Physics - Theory · Physics 2021-01-21 V. G. Kupriyanov , M. Kurkov , P. Vitale

In this article we use the noncommutative (NC) kappa-Minkowski phi^4 model based on the kappa-deformed star product, ({*}_h). The action is modified by expanding up to linear order in the kappa-deformation parameter a, producing an…

High Energy Physics - Theory · Physics 2015-06-03 S. Meljanac , A. Samsarov , J. Trampetic , M. Wohlgenannt

We describe the generalized kappa-deformations of D=4 relativistic symmetries with finite masslike deformation parameter kappa and an arbitrary direction in kappa-deformed Minkowski space being noncommutative. The corresponding bicovariant…

High Energy Physics - Theory · Physics 2016-08-16 P. Kosiński , P. Maślanka , J. Lukierski , A. Sitarz

This study of gauge field theories on kappa-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the…

High Energy Physics - Theory · Physics 2007-05-23 Marija Dimitrijevic , Frank Meyer , Lutz Möller , Julius Wess

Quantum-gravity effects are expected to be suppressed by the Planck mass. For experimental progress it is therefore important to identify potential signatures from Planck-scale physics that are amenable to ultrahigh-precision tests. It is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Lehnert

In the context of conventional quantum field theory, we present a general Lorentz-violating extension of the minimal SU(3) x SU(2) x U(1) standard model including CPT-even and CPT-odd terms. It can be viewed as the low-energy limit of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Alan Kostelecky

This work is dedicated to the study of both large-$N$ and perturbative quantum behaviors of Lifshitz nonlinear sigma models with dynamical critical exponent $z=2$ in 2+1 dimensions. We discuss renormalization and renormalization group…

High Energy Physics - Theory · Physics 2016-07-01 Pedro R. S. Gomes , M. Gomes

The study of generic, non-linear, deformations of Special Relativity parametrized by a high-energy scale $M$, which was carried out at first order in $M$ in Phys.Rev. D86, 084032 (2012), is extended to second order. This can be done…

High Energy Physics - Theory · Physics 2016-10-07 J. M. Carmona , J. L. Cortes , J. J. Relancio

It is often expected that one cannot treat spacetime as a continuous manifold as the Planck scale is approached, because of to possible effects due to a quantum theory of gravity. There have been several proposals to model such a deviation…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Andrea Bevilacqua

We consider $\kappa$-deformed relativistic quantum phase space and possible implementations of the Lorentz algebra. There are two ways of performing such implementations. One is a simple extension where the Poincar\'e algebra is unaltered,…

High Energy Physics - Theory · Physics 2019-06-26 D. Meljanac , S. Meljanac , S. Mignemi , R. Štrajn

We derive, in curved spacetime, the most general Lorentz-violating electromagnetic Lagrangian containing dimension-five operators with one more derivative than the Maxwell term in the hypothesis that Lorentz symmetry is broken by a…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Leonardo Campanelli

Horava's "Lifschitz point gravity" has many desirable features, but in its original incarnation one is forced to accept a non-zero cosmological constant of the wrong sign to be compatible with observation. We develop an extension of…

High Energy Physics - Theory · Physics 2009-07-22 Thomas P. Sotiriou , Matt Visser , Silke Weinfurtner
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