2020/08/18 by David Dudal, Duifje Maria van Egmond, Dudal, D. +9
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2008.07813
openalex publication_date 2020/08/18 · openalex created_date 2020/08/24 · openalex updated_date 2026/07/28
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 Rξ-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.