Fields and quanta

Algebraic Quantum Field Theory

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)



field theory:

Lagrangian field theory


quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization



States and observables

Operator algebra

Local QFT

Perturbative QFT



In the plain minimally supersymmetric standard model (MSSM), baryon/lepton number would not need to be preserved. Since however experimental observation indicates that these quantum observables are preserved to high accuracy, a common ad hoc solution in bottom-up model-building is to impose a certain Z/2-action on the MSSM as a global symmetry, called R-parity, which does enforce baryon/lepton number conservation.

From a top-down model building-perspective there is the rough idea that R-parity may be thought of as a discrete remnant of R-symmetry (e.g. Chamseddine-Dreiner 96, p. 2, Frugiuele-Gregoire 11)

There remain speculations that even if MSSM-like models are realistic, R-parity might in fact be violated in nature after all, such as as possibly indicated by the apparent flavour anomalies (Wang-Yang-Yuan 19).


The original articles are

See also

Discussion of possible relation to R-symmetry:

  • Ali Chamseddine, Herbi Dreiner, Anomaly-Free Gauged R-Symmetry in Local Supersymmetry, Nucl.Phys. B458 (1996) 65-89 (arXiv:hep-ph/9504337)

  • Claudia Frugiuele, Thomas Gregoire, Making the Sneutrino a Higgs with a U(1) RU(1)_R Lepton Number, PhysRev D.85.015016 (arXiv:1107.4634)

In SemiSpin(32)-heterotic string phenomenology:

  • Saul Ramos-Sanchez, Section 5.4 of Towards Low Energy Physics from the Heterotic String, Fortsch. Phys. 10:907-1036, 2009 (arXiv:0812.3560)

Suggestion that the MSSM with R-parity violation could explain the flavour anomalies:

  • Dong-Yang Wang, Ya-Dong Yang, Xing-Bo Yuan, bcτν¯b \to c \tau \bar \nu decays in supersymmetry with R-parity violation (arXiv:1905.08784)

Last revised on July 28, 2019 at 17:33:01. See the history of this page for a list of all contributions to it.