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Gauge-invariant spectral description of the $U(1)$ Higgs model from local composite operators
- Publication Year :
- 2019
-
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.<br />Comment: 33 pages, 16 figures
- Subjects :
- High Energy Physics - Theory
High Energy Physics - Lattice
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1912.11390
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP02(2020)188