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arXiv · 1912.11390

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

David Dudal·Duive Maria van Egmond·Marcelo Santos Guimaraes·Ozorio Holanda·Leticia F. Palhares·Giovani Peruzzo·Silvio Paolo Sorella
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Abstract

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.

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David Dudal, Duive Maria van Egmond, Marcelo Santos Guimaraes, Ozorio Holanda, Leticia F. Palhares, Giovani Peruzzo, Silvio Paolo Sorella. 2019-12-24. Gauge-invariant spectral description of the $U(1)$ Higgs model from local composite operators. https://doi.org/10.1007/jhep02(2020)188

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