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It is shown that the field equations derived from an effective interaction hamiltonian for Maxwell and gravitational fields in the semiclassical approximation of loop quantum gravity using rotational invariant states (such as weave states)…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. N. Kozameh , M. F. Parisi

This talk discusses theoretical aspects of tests of CPT and Lorentz Symmetry that will in principle be possible with trapped antihydrogen. The framework is the standard-model extension, which admits minuscule violations of CPT and Lorentz…

High Energy Physics - Phenomenology · Physics 2007-05-23 Neil Russell

Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. In this review we discuss quantum gravity phenomenological models and their possible…

General Relativity and Quantum Cosmology · Physics 2012-12-14 Florian Girelli , Franz Hinterleitner , Seth A. Major

The noncommutative standard model apparently violates the Lorentz symmetry. We compare the Lorentz violating terms in the Higgs sector of the noncommutative standard model with their counterparts in the standard model extension. We show…

High Energy Physics - Phenomenology · Physics 2015-06-15 S. Aghababaei , M. Haghighat , A. Kheirandish

Violations of spacetime symmetries have recently been identified as promising signatures for physics underlying the Standard Model. The present talk gives an overview over various topics in this field: The motivations for spacetime-symmetry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ralf Lehnert

Space-based experiments offer sensitivity to numerous unmeasured effects involving Lorentz and CPT violation. We provide a classification of clock sensitivities and present explicit expressions for time variations arising in such…

High Energy Physics - Phenomenology · Physics 2009-09-25 Robert Bluhm , Alan Kostelecky , Charles Lane , Neil Russell

Charge conjugation, parity transformation and time reversal symmetry (CPT) violation and Lorentz invariance can coexist in the framework of non-local field theory. In this article we have proposed a class of Charge conjugation, parity…

High Energy Physics - Theory · Physics 2014-12-31 Pinaki Patra , Jyoti Prasad Saha

In this work, we consider a theoretical model that presents violation of the Lorentz symmetry in the approach of Quantum Field Theory. The theoretical model adopted consists of a real massive scalar quantum field confined in the region…

High Energy Physics - Theory · Physics 2023-06-28 E. R. Bezerra de Mello , M. B. Cruz

The three original publications in this thesis encompass various aspects in the still developing area of noncommutative quantum field theory, ranging from fundamental concepts to model building. One of the key features of noncommutative…

High Energy Physics - Theory · Physics 2009-09-17 Sami Saxell

We carry out an investigation into the possibility of developing a Bohmian interpretation based on the continuous motion of point particles for noncommutative quantum mechanics. The conditions for such an interpretation to be consistent are…

High Energy Physics - Theory · Physics 2009-11-10 G. D. Barbosa , N. Pinto-Neto

If quantum gravity violates Lorentz symmetry, the prospects for observational guidance in understanding quantum gravity improve considerably. This article briefly reviews previous work on Lorentz violation (LV) and discusses aspects of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ted Jacobson , Stefano Liberati , David Mattingly

A general technique is presented for treating CPT violation in neutral-meson oscillations. The effective field theory for a complex scalar with CPT-violating operators of arbitrary mass dimension is incorporated in the formalism for the…

High Energy Physics - Phenomenology · Physics 2019-07-12 Benjamin R. Edwards , Alan Kostelecky

The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density…

High Energy Physics - Phenomenology · Physics 2009-09-02 Alan Kostelecky , Matthew Mewes

Quantum systems governed by non-Hermitian Hamiltonians with $\PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We argue that $\PT$ symmetry may also be important and present at the level…

High Energy Physics - Theory · Physics 2021-03-30 Carl M Bender , Alexander Felski , S P Klevansky , Sarben Sarkar

It is shown that the neutron-antineutron oscillation per se does not necessarily imply CP violation in an effective local Lorentz invariant description of the neutron which preserves CPT, contrary to a recent analysis in the literature. A…

High Energy Physics - Phenomenology · Physics 2015-10-06 Kazuo Fujikawa , Anca Tureanu

Harmonic oscillator in noncommutative two dimensional lattice are investigated. Using the properties of non-differential calculus and its applications to quantum mechanics, we provide the eigenvalues and eigenfunctions of the corresponding…

High Energy Physics - Theory · Physics 2019-04-11 Dine Ousmane Samary , Sêcloka Lazare Guedezounme , Antonin Danvidé Kanfon

We investigate the breakdown of Lorentz symmetry in QED by a CPT violating interaction term consisting of the coupling of an axial fermion current with a constant vector field $b$, in the framework of algebraic renormalization -- a…

High Energy Physics - Theory · Physics 2010-05-25 Oswaldo M. Del Cima , Jakson M. Fonseca , Daniel H. T. Franco , Olivier Piguet

We consider the $\mathcal{PT}$-symmetric quantum field theory on the noncommutative spacetime with angular twist and construct its pseudo-Hermitian interpretation. We explore the differences between internal and spatial parities in the…

High Energy Physics - Theory · Physics 2019-10-25 Oleg O. Novikov

Based on the motivation that some quantum gravity theories predicts the Lorentz Invariance Violation (LIV) around Planck-scale energy levels, this paper proposes a new formalism that addresses the possible effects of LIV in the…

High Energy Physics - Theory · Physics 2019-11-15 T. A. M. Sampaio , E. Passos

In a nonperturbative formulation, radiative corrections arising from Lorentz and CPT violation in the fermion sector induce a definite and nonzero Chern-Simons addition to the electromagnetic action. If instead a perturbative formulation is…

High Energy Physics - Phenomenology · Physics 2009-09-25 Roman Jackiw , Alan Kostelecky