Spectral properties of local gauge invariant composite operators in the SU(2) Yang–Mills–Higgs model

The spectral properties of a set of local gauge (BRST) invariant composite operators are investigated in the SU (2) Yang–Mills–Higgs model with a single Higgs field in the fundamental representation, quantized in the ’t Hooft R ξ -gauge. These operators can be thought of as a BRST invariant version...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2021-03, Vol.81 (3), p.1-29, Article 222
Hauptverfasser: Dudal, D., Egmond, D. M. van, Guimarães, M. S., Palhares, L. F., Peruzzo, G., Sorella, S. P.
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Sprache:eng
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Zusammenfassung:The spectral properties of a set of local gauge (BRST) invariant composite operators are investigated in the SU (2) Yang–Mills–Higgs model with a single Higgs field in the fundamental representation, quantized in the ’t Hooft R ξ -gauge. These operators can be thought of as a BRST invariant version of the elementary fields of the theory, the Higgs and gauge fields, with which they share a gauge independent pole mass. The two-point correlation functions of both BRST invariant composite operators and elementary fields, as well as their spectral functions, are investigated at one-loop order. It is shown that the spectral functions of the elementary fields suffer from a strong unphysical dependence from the gauge parameter ξ , and can even exhibit positivity violating behaviour. In contrast, the BRST invariant local operators exhibit a well defined positive spectral density.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-021-09008-9