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The notion of uniform and/or constant tensor fields of rank $>0$ is incompatible with general curved spacetimes. This work considers the consequences of certain tensor-valued coefficients for Lorentz violation in the Standard-Model…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Charles D. Lane

We study two (massless free field) models, a photon/photino model with a vector gauge field and a Majorana spinor field, and a Wess-Zumino model. They each exhibit Lorentz symmetry violation but retain, in an appropriate way, the…

High Energy Physics - Theory · Physics 2023-06-22 I. T. Drummond

We consider a model in which the neutrino is kinetically coupled to a scalar field and study its implications for environmentally dependent neutrino velocities. Following the usual effective field theory logic, this coupling is expected to…

High Energy Physics - Phenomenology · Physics 2013-01-22 Emilio Ciuffoli , Jarah Evslin , Jie Liu , Xinmin Zhang

Inspired by quantum gravity frameworks predicting Planck-scale deviations from Lorentz invariance, we probe Lorentz symmetry violation via modified dispersion relations $\omega_{|\textbf{k}|}$. Departing from conventional approaches, we…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Hao Xu

We study an extension of QED involving a light pseudoscalar (an axion-like particle), together with a very massive fermion which has Lorentz-violating interactions with the photon and the pseudoscalar, including a nonminimal…

High Energy Physics - Phenomenology · Physics 2016-07-26 Alysson Fabio Ferrari

Spacetime nonmetricity can be studied experimentally through its couplings to fermions and photons. We use recent high-precision searches for Lorentz violation to deduce first constraints involving the 40 independent nonmetricity components…

General Relativity and Quantum Cosmology · Physics 2017-04-24 Joshua Foster , Alan Kostelecky , Rui Xu

A general formalism is presented for violations of Lorentz and CPT symmetry in the neutrino sector. The effective hamiltonian for neutrino propagation in the presence of Lorentz and CPT violation is derived, and its properties are studied.…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alan Kostelecky , Matthew Mewes

We examine the (2+1)-dimensional Dirac equation in a homogeneous magnetic field under the non-relativistic anti-Snyder model which is relevant to deformed special relativity (DSR) since it exhibits an intrinsic upper bound of the momentum…

General Relativity and Quantum Cosmology · Physics 2017-01-09 Chee Leong Ching , Cheng Xun Yeo , Wei Khim Ng

Quantitative bounds on Lorentz symmetry violation in the neutrino sector have been obtained by analyzing existing laboratory data on neutron $\beta$ decay and pion leptonic decays. In particular some parameters appearing in the…

High Energy Physics - Phenomenology · Physics 2009-11-11 E. Di Grezia , S. Esposito , G. Salesi

We study a flavour-violating four-fermion interaction in the Lifshitz context, in 3+1 dimensions and with a critical exponent z=3. This model is renormalizable, and features dynamical mass generation, as well as asymptotic freedom. At…

High Energy Physics - Phenomenology · Physics 2013-05-30 J. Alexandre , J. Brister , N. Houston

The well-known analogy between a special limit of General Relativity and electromagnetism is explored in the context of the Lorentz-violating Standard-Model Extension (SME). An analogy is developed for the minimal SME that connects a limit…

General Relativity and Quantum Cosmology · Physics 2012-02-07 Quentin G. Bailey

Radiative corrections in Lorentz violating (LV) models have already received a lot of attention in the literature in recent years, with many instances where a LV operator in one sector of the Standard Model Extension (SME) generates, via…

High Energy Physics - Theory · Physics 2020-05-25 A. F. Ferrari , J. R. Nascimento , A. Yu. Petrov

A relativistic theory for neutrino superluminality is presented (in principle, the same mechanism applies also to other fermions). The theory involves the standard-model particles and one additional heavy sterile neutrino with an…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. R. Klinkhamer

Lorentz violation has been a popular field in recent years in the search for new physics beyond the Standard Model. We present a general method to build all Lorentz-violating terms in gauge field theories, including ones involving operators…

High Energy Physics - Phenomenology · Physics 2019-10-01 Zonghao Li

In this work, we analyze a gravity model with higher derivatives including a CPT-even Lorentz-violating term. In principle, the model could be a low-energy limit of a Lorentz-invariant theory presenting the violation of Lorentz symmetry as…

High Energy Physics - Theory · Physics 2014-09-22 C. Hernaski , H. Belich

Lorentz Invariance violation is a common feature of new physics beyond the standard model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz Invariance violation. The…

High Energy Physics - Theory · Physics 2008-04-07 Zhe Chang , Xin Li

A dense neutrino medium can support flavor oscillation waves which are coherent among different momentum modes of the neutrinos. The dispersion relation (DR) branches of such a wave with complex frequencies and/or wave numbers can lead to…

High Energy Physics - Phenomenology · Physics 2019-03-13 Changhao Yi , Lei Ma , Joshua D. Martin , Huaiyu Duan

We address the question whether a violation of Lorentz symmetry can explain the tension between the measurement and the Standard-Model prediction of the anomalous magnetic moment of the muon ($(g-2)_{\mu}$) and whether it can significantly…

High Energy Physics - Phenomenology · Physics 2022-11-30 Andreas Crivellin , Fiona Kirk , Marco Schreck

We analyze the consequences of Lorentz violation (LV) to three-generation neutrino oscillation in the massless neutrino sector. We present a general formalism of three-family neutrino oscillation with neutrino flavor states being mixing…

High Energy Physics - Phenomenology · Physics 2010-01-15 Shimin Yang , Bo-Qiang Ma

A simple model is constructed which allows to compute modified dispersion relations with effects from loop quantum gravity. Different quantization choices can be realized and their effects on the order of corrections studied explicitly. A…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Martin Bojowald , Hugo A. Morales-Tecotl , Hanno Sahlmann
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