Non-analyticity of the $S$-matrix with spontaneously broken Lorentz invariance

Autor:	Creminelli, Paolo, Delladio, Matteo, Janssen, Oliver, Longo, Alessandro, Senatore, Leonardo
Rok vydání:	2023
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	We study the $S$-matrix of Goldstones in the renormalizable theory of a $U(1)$ complex scalar at finite charge, i.e. in a state that breaks Lorentz invariance. The theory is weakly coupled so that this $S$-matrix exists at all energies. Unlike the Lorentz invariant case, the resulting $S$-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. Comment: 19+11 pages. Version published in J. High Energ. Phys. 2024, 201 (2024)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.08441 Zobrazit plný text záznamu View this record from Arxiv