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Quartic self--interacting fractional Klein--Gordon scalar massive and massless field theories on toroidal spacetime are studied. The effective potential and topologically generated mass are determined using zeta function regularization…

High Energy Physics - Theory · Physics 2008-11-26 S. C. Lim , L. P. Teo

We propose a modification of standard linear electrodynamics in four dimensions, where effective non-trivial interactions of the electromagnetic field with itself and with matter fields induce Lorentz violating Chern-Simons terms. This…

High Energy Physics - Theory · Physics 2009-01-07 Marcelo Botta Cantcheff

Finsler geometry naturally appears in the description of various physical systems. In this review I divide the emergence of Finsler geometry in physics into three categories: as dual description of dispersion relations, as most general…

General Relativity and Quantum Cosmology · Physics 2019-11-01 Christian Pfeifer

The formulation and some experimental implications of a general Lorentz-violating extension of the standard model are reviewed. The theory incorporates both CPT-preserving and CPT-breaking terms. It is otherwise a conventional quantum field…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

A simple mathematical procedure is introduced which allows redefining in an exact way divergent integrals and limits that appear in the basic equations of classical electrodynamics with point charges. In this way all divergences are at once…

Classical Physics · Physics 2015-06-26 Massimo Marino

We develop an axiomatic geometric approach and provide an unconventional review of modified gravity theories, MGTs, with modified dispersion relations, MDRs, encoding Lorentz invariance violations, LIVs, classical and quantum random…

General Physics · Physics 2018-01-22 Sergiu I. Vacaru

Recent ideas on modular localization in local quantum physics are used to clarify the relation between on- and off-shell quantities in particle physics; in particular the relation between on-shell crossing symmetry and off-shell Einstein…

High Energy Physics - Theory · Physics 2008-11-26 Bert Schroer

We demonstrate that perturbative algebraic QFT methods, as developed by Fredenhagen and Rejzner, naturally yields a factorization algebras of observables for a large class of Lorentzian theories. Along the way we carefully articulate…

Mathematical Physics · Physics 2023-11-14 Owen Gwilliam , Kasia Rejzner

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of scatterers, has been a useful model of deterministic diffusion and related statistical properties for over a century. This survey summarises…

Chaotic Dynamics · Physics 2017-06-29 Carl P. Dettmann

Coarse-grained Langevin-type effective field equations are derived for classical systems of particles. These equations include the effects of thermal fluctuation and dissipation which may arise from coupling to an external bath, as in the…

Nuclear Theory · Physics 2009-10-30 L. P. Csernai , S. Jeon , J. I. Kapusta

The low-energy approach to electric charge quantization predicts physics beyond the minimal standard model. A model-independent approach via effective Lagrangians is used examine the possible new physics, which may manifest itself…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Lew , R. R. Volkas

Scalar particles--i.e., scalar-field excitations--in de Sitter space exhibit behavior unlike either classical particles in expanding space or quantum particles in flat spacetime. Their energies oscillate forever, and their interactions are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ian H. Redmount

A number of approaches to fundamental physics can lead to the violation of Lorentz and CPT symmetry. This talk discusses the low-energy phenomenology associated with such effects and reviews various sample experiments within this context.

High Energy Physics - Phenomenology · Physics 2010-08-11 Ralf Lehnert

The central objects in a quantum field theory are its n-point correlation functions and matrix elements. Their structure is determined by Lorentz invariance and leads to tensor decompositions whose Lorentz-invariant coefficient functions…

High Energy Physics - Phenomenology · Physics 2026-03-03 Gernot Eichmann

The phenomenologically observed flatness - or near flatness - of spacetime cannot be understood as emerging from continuum Planck (or sub-Planck) scales using known physics. Using dimensional arguments it is demonstrated that any…

General Relativity and Quantum Cosmology · Physics 2013-06-14 D. Bennett , H. B. Nielsen

Recently, a scheme to analyse topological phases in Quantum Mechanics by means of the non-relativistic limit of fermions non-minimally coupled to a Lorentz-breaking background has been proposed. In this letter, we show that the fixed…

High Energy Physics - Theory · Physics 2008-11-26 H. Belich , T. Costa-Soares , M. M. Ferreira , J. A. Helayel-Neto , M. T. D. Orlando

In recent years several ideas for experimental searches of effects induced by quantum properties of space-time have been discussed. Some of these ideas concern the role in quantum spacetime of the ordinary Lorentz symmetry of classical flat…

Astrophysics · Physics 2007-05-23 Giovanni Amelino-Camelia

Finsler geometry is a natural and fundamental generalization of Riemann geometry, and is a tool to research Lorentz invariance violation. We find the connection between the most general modified dispersion relation and a pseudo-Finsler…

General Relativity and Quantum Cosmology · Physics 2023-05-02 Jie Zhu , Bo-Qiang Ma

A Lorentz invariant statistical model is presented for rotational fluctuations in the local inertial frame that arise from new quantum degrees of freedom of space-time. The model assumes invariant classical causal structure, and a Planck…

General Relativity and Quantum Cosmology · Physics 2017-06-09 Craig Hogan , Ohkyung Kwon , Jonathan Richardson

The appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is studied for a family of idealized models. In the…

Mathematical Physics · Physics 2022-06-29 Tristan Benoist , Martin Fraas , Jürg Fröhlich