Gauge-invariant spectral description of the $U(1)$ Higgs model from local composite operators

Autor:	Dudal, David, van Egmond, Duive Maria, Guimaraes, Marcelo Santos, Holanda, Ozorio, Palhares, Leticia F., Peruzzo, Giovani, Sorella, Silvio Paolo
Rok vydání:	2019
Předmět:	High Energy Physics - Theory High Energy Physics - Lattice
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP02(2020)188
Popis:	The spectral properties of a set of local gauge-invariant composite operators are investigated in the $U(1)$ Higgs model quantized in the 't Hooft $R_{\xi}$ gauge. These operators enable us to give a gauge-invariant description of the spectrum of the theory, thereby surpassing certain incommodities when using the standard elementary fields. The corresponding two-point correlation functions are evaluated at one-loop order and their spectral functions are obtained explicitly. As expected, the above mentioned correlation functions are independent from the gauge parameter $\xi$, while exhibiting positive spectral densities as well as gauge-invariant pole masses corresponding to the massive photon and Higgs physical excitations. Comment: 33 pages, 16 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1912.11390 Zobrazit plný text záznamu View this record from Arxiv