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The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of…

High Energy Physics - Theory · Physics 2023-02-14 B. Altschul , L. C. T. Brito , J. C. C. Felipe , S. Karki , A. C. Lehum , A. Yu. Petrov

Lorentz symmetry is the fundamental symmetry of Einstein's theory of Special Relativity and has been tested to great precision. Nevertheless, the possibility remains that it is violated at the Planck scale, as predicted by some theories of…

High Energy Physics - Phenomenology · Physics 2026-04-16 Fabian Kislat

A proposal for a power-counting renormalizable theory of quantum gravity at a Lifshitz point was recently put forth by Horava (arXiv:0901.3775), and has been since dubbed as Horava-Lifshitz gravity. The theory explicitly breaks Lorentz…

High Energy Physics - Theory · Physics 2009-11-05 Niayesh Afshordi

We study perturbative unitarity in the scalar sector of the Myers-Pospelov model. The model introduces a preferred four-vector $n$ which breaks Lorentz symmetry and couples to a five-dimension operator. When the preferred four-vector is…

High Energy Physics - Theory · Physics 2018-09-12 Leonardo Balart , Carlos M. Reyes , Sebastian Ossandon , Camilo Reyes

Time-of-flight measurements of high-energy astrophysical neutrinos can be used to probe Lorentz invariance, a pillar of modern physics. If Lorentz-invariance violation (LIV) occurs, it could cause neutrinos to slow down, with the delay…

High Energy Astrophysical Phenomena · Physics 2025-07-01 Mauricio Bustamante , John Ellis , Rostislav Konoplich , Alexander S. Sakharov

It is usually expected that quantum gravity corrections will modify somehow the symmetries of special relativity. In this paper we point out that the possibility of very low-energy (with respect to the Planck energy) modifications to…

High Energy Physics - Phenomenology · Physics 2018-10-12 G. Albalate , J. M. Carmona , J. L. Cortes , J. J. Relancio

Lorentz invariance plays a fundamental role in modern physics. However, tiny violations of the Lorentz invariance may arise in some candidate quantum gravity theories. Prominent signatures of the gravitational Lorentz invariance violation…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Ziming Wang , Lijing Shao , Chang Liu

We propose a minimal extension to the Standard Model by introducing a Lorentz Invariance Violation (LIV) term into the Z boson's dispersion relation, expressed as $p_\mu p^\mu = M_Z^2 + \delta_{LIV} (p_\mu n^\mu)^2$, where $\delta_{LIV}$…

High Energy Physics - Phenomenology · Physics 2026-04-10 Juansher Jejelava , Zurab Kepuladze

The Lorentz invariance and Einstein equivalence principle violating effects in the narrow 7.8 eV transition in 229Th nucleus may be 100 000 times larger than in atoms. This transition may be investigated using high precision laser…

Nuclear Theory · Physics 2015-11-17 V. V. Flambaum

In any quantum theory of gravity we do expect corrections to Einstein gravity to occur. Yet, at fundamental level, it is not apparent what the most relevant corrections are. We argue that the generic curvature square corrections present in…

High Energy Physics - Theory · Physics 2011-02-09 Ishwaree P. Neupane , Naresh Dadhich

Effective field theories which describe the coupling between gravity and matter fields have recently been extended to include terms with operators of non-minimal mass dimension. These terms preserve the usual gauge symmetries but may…

High Energy Physics - Phenomenology · Physics 2025-02-04 Hollis Williams

In this brief, and by no means complete, review I discuss situations in string theory, in which Lorentz Invariance Violation may occur in a way consistent with world-sheet conformal invariance, thereby leading to acceptable, in principle,…

High Energy Physics - Theory · Physics 2009-05-07 Nikolaos E. Mavromatos

Canonical quantum gravity provides insights into the quantum dynamics as well as quantum geometry of space-time by its implications for constraints. Loop quantum gravity in particular requires specific corrections due to its quantization…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Martin Bojowald

We study numerically the first order radiative corrections to the self-energy, in covariant loop quantum gravity. We employ the recently developed 'sl2cfoam-next' spinfoam amplitudes library, and some original numerical methods. We analyze…

General Relativity and Quantum Cosmology · Physics 2022-09-29 Pietropaolo Frisoni , Francesco Gozzini , Francesca Vidotto

The accelerating expansion of universe can be described by the non-zero cosmological constant or the dark energy. However, the origin of the dark energy remains a mystery of modern physics. The local Lorentz invariance is the most exact…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Jiayin Shen , Xun Xue

One of the most puzzling current experimental physics paradoxes is the arrival on Earth of Ultra High Energy Cosmic Rays with energies above the GZK threshold. The recent observation of 20TeV photons from Mk 501 is another somewhat similar…

Astrophysics · Physics 2014-10-13 Giovanni Amelino-Camelia , Tsvi Piran

Here we show that local scale invariance -- invariance under Weyl rescalings -- may safely coexist with broken electroweak symmetry if assume the Weyl geometric theory to govern the affine structure of spacetime. We find that within the…

General Relativity and Quantum Cosmology · Physics 2014-01-06 Israel Quiros

The existence of a minimal and fundamental length scale, say, the Planck length, is a characteristic feature of almost all the models of quantum gravity. The presence of the fundamental length is expected to lead to an improved ultra-violet…

High Energy Physics - Theory · Physics 2010-03-05 Dawood Kothawala , S. Shankaranarayanan , L. Sriramkumar

This study employs the effective field theory approach to quantum gravity to investigate a non-Abelian gauge theory involving scalar particles coupled to gravity. The study demonstrates explicitly that the Slavnov-Taylor identities are…

High Energy Physics - Theory · Physics 2023-06-14 Huan Souza , L. Ibiapina Bevilaqua , A. C. Lehum

Unified theories such as string theory and loop quantum gravity allow the Lorentz Invariance Violation (LIV) at the Planck Scale ($M_P \sim 10^{19}$ GeV). Using an effective field theory, this effect can be observed at low energies in terms…

High Energy Physics - Phenomenology · Physics 2023-08-15 Sanjib Kumar Agarwalla , Sudipta Das , Sadashiv Sahoo , Pragyanprasu Swain