Spectral properties of local gauge invariant composite operators in the SU(2) Yang–Mills–Higgs model
| Autor: | D. M. van Egmond, G. Peruzzo, Marcelo S. Guimaraes, Silvio P. Sorella, L. F. Palhares, David Dudal |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Computer Science::Machine Learning
Physics Physics and Astronomy (miscellaneous) High Energy Physics::Lattice High Energy Physics::Phenomenology lcsh:Astrophysics Yang–Mills existence and mass gap Gauge (firearms) Computer Science::Digital Libraries BRST quantization High Energy Physics::Theory Higgs field Physics and Astronomy lcsh:QB460-466 Computer Science::Mathematical Software Higgs boson Fundamental representation lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Invariant (mathematics) Engineering (miscellaneous) Special unitary group Mathematical physics |
| Zdroj: | European Physical Journal C: Particles and Fields, Vol 81, Iss 3, Pp 1-29 (2021) EUROPEAN PHYSICAL JOURNAL C European Physical Journal |
| ISSN: | 1434-6052 1434-6044 |
| Popis: | The spectral properties of a set of local gauge (BRST) invariant composite operators are investigated in theSU(2) Yang–Mills–Higgs model with a single Higgs field in the fundamental representation, quantized in the ’t Hooft$$R_{\xi }$$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$$\xi $$ξ, and can even exhibit positivity violating behaviour. In contrast, the BRST invariant local operators exhibit a well defined positive spectral density. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink