Scalar field theory on noncommutative Snyder spacetime

MV Battisti, S Meljanac - Physical Review D—Particles, Fields, Gravitation, and …, 2010 - APS
We construct a scalar field theory on the Snyder noncommutative space-time. The symmetry
underlying the Snyder geometry is deformed at the co-algebraic level only, while its …

-deformed complex fields and discrete symmetries

M Arzano, A Bevilacqua, J Kowalski-Glikman, G Rosati… - Physical Review D, 2021 - APS
We present a construction of κ-deformed complex scalar field theory with the objective of
shedding light on the way discrete symmetries and CPT invariance are affected by the …

Lie-Poisson gauge theories and κ-Minkowski electrodynamics

VG Kupriyanov, MA Kurkov, P Vitale - Journal of High Energy Physics, 2023 - Springer
A bstract We consider gauge theories on Poisson manifolds emerging as semiclassical
approximations of noncommutative spacetime with Lie algebra type noncommutativity. We …

Geometrizing the Klein–Gordon and Dirac equations in doubly special relativity

SA Franchino-Viñas, JJ Relancio - Classical and Quantum …, 2023 - iopscience.iop.org
In this work we discuss the deformed relativistic wave equations, namely the Klein–Gordon
and Dirac equations in a doubly special relativity scenario. We employ what we call a …

Electrodynamics on -Minkowski space-time

E Harikumar, T Jurić, S Meljanac - Physical Review D—Particles, Fields …, 2011 - APS
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 …

Noncommutativity and logarithmic correction to the black hole entropy

KS Gupta, T Jurić, A Samsarov, I Smolić - Journal of High Energy Physics, 2023 - Springer
A bstract We study the noncommutative corrections to the entropy of the Reissner-Nordström
black hole using a κ-deformed scalar probe within the brick-wall framework. The …

Multiparticle states in braided lightlike -Minkowski noncommutative QFT

G Fabiano, F Mercati - Physical Review D, 2024 - APS
In this study, we construct a 1+ 1-dimensional, relativistic, free, complex scalar quantum field
theory on the noncommutative spacetime known as lightlike κ-Minkowski. The associated κ …

Deformed quantum phase spaces, realizations, star products and twists

S Meljanac, R Štrajn - SIGMA. Symmetry, Integrability and Geometry …, 2022 - emis.de
We review deformed quantum phase spaces and their realizations in terms of undeformed
phase space. In particular, methods of calculation for the star product, coproduct of momenta …

Diffusion on -Minkowski space

M Arzano, T Trześniewski - Physical Review D, 2014 - APS
We study the spectral dimension associated with diffusion processes on Euclidean κ-
Minkowski space. We start by describing a geometric construction of the “Euclidean” …

Entropy of black holes, charged probes and noncommutative generalization

A Hrelja, T Jurić, F Požar - arXiv preprint arXiv:2407.13233, 2024 - arxiv.org
The brick wall model is a semi-classical approach to understanding the microscopic origin of
black hole entropy. We outline the formalism for the brick wall model in arbitrary number of …