Non-analyticity of the $S$-matrix with spontaneously broken Lorentz invariance
High Energy Physics - Theory
2024-09-11 v2 General Relativity and Quantum Cosmology
Abstract
We study the -matrix of Goldstones in the renormalizable theory of a complex scalar at finite charge, i.e. in a state that breaks Lorentz invariance. The theory is weakly coupled so that this -matrix exists at all energies. Unlike the Lorentz invariant case, the resulting -matrix is not analytic in the exchanged (complexified) four-momentum. The non-analyticities stem from the LSZ reduction formula, as a consequence of the energy-dependent mixing between the radial and Goldstone modes.
Keywords
Cite
@article{arxiv.2312.08441,
title = {Non-analyticity of the $S$-matrix with spontaneously broken Lorentz invariance},
author = {Paolo Creminelli and Matteo Delladio and Oliver Janssen and Alessandro Longo and Leonardo Senatore},
journal= {arXiv preprint arXiv:2312.08441},
year = {2024}
}
Comments
19+11 pages. Version published in J. High Energ. Phys. 2024, 201 (2024)