Quantum Gravity induced Lorentz invariance violation in the Standard Model:hadrons

TL;DR

This paper explores how quantum gravity may induce tiny Lorentz invariance violations in the Standard Model, affecting hadrons and potentially explaining phenomena like the GZK anomaly.

Contribution

It derives Lorentz invariance violation effects for mesons and nucleons within the Standard Model due to quantum gravity, introducing an arbitrary parameter to quantify these effects.

Findings

LIV effects depend on a single parameter α

Application to GZK anomaly shows potential explanations

Provides a framework for quantum gravity effects in particle physics

Abstract

The most important problem of fundamental Physics is the quantization of the gravitational field. A main difficulty is the lack of available experimental tests that discriminate among the theories proposed to quantize gravity. Recently we showed that the Standard Model(SM) itself contains tiny Lorentz invariance violation(LIV) terms coming from QG. All terms depend on one arbitrary parameter $\alpha$ that set the scale of QG effects. In this paper we obtain the LIV for mesons and nucleons and apply it to study several effects, including the GZK anomaly.