Weyl-Dirac theory with torsion

1980 ◽  
Vol 56 (1) ◽  
pp. 21-38 ◽  
Author(s):  
D. Gregorash ◽  
G. Papini
Keyword(s):  
Dirac Theory

scholarly journals Moving Unstable Particles and Special Relativity

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Eugene V. Stefanovich
Keyword(s):  
Special Relativity ◽  
Reference Frame ◽  
Unstable Particle ◽  
Internal Variables ◽  
Dirac Theory ◽  
Decay Probability ◽  
Unstable Particles ◽  
Interacting Systems

In Poincaré-Wigner-Dirac theory of relativistic interactions, boosts are dynamical. This means that, just like time translations, boost transformations have a nontrivial effect on internal variables of interacting systems. In this respect, boosts are different from space translations and rotations, whose actions are always universal, trivial, and interaction-independent. Applying this theory to unstable particles viewed from a moving reference frame, we prove that the decay probability cannot be invariant with respect to boosts. Different moving observers may see different internal compositions of the same unstable particle. Unfortunately, this effect is too small to be noticeable in modern experiments.

scholarly journals Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1197
Author(s):  
João Alfíeres Andrade de Simões dos Reis ◽  
Marco Schreck
Keyword(s):  
Dispersion Equation ◽  
Lorentz Violation ◽  
Field Operator ◽  
Dirac Fermions ◽  
Dirac Theory ◽  
Standard Model Extension ◽  
Phenomenological Studies ◽  
Model Extension ◽  
The Matrix ◽  
Majorana Neutrinos

The current paper is a technical work that is focused on Lorentz violation for Dirac fermions as well as neutrinos, described within the nonminimal Standard-Model Extension. We intend to derive two theoretical results. The first is the full propagator of the single-fermion Dirac theory modified by Lorentz violation. The second is the dispersion equation for a theory of N neutrino flavors that enables the description of both Dirac and Majorana neutrinos. As the matrix structure of the neutrino field operator is very involved for generic N, we will use sophisticated methods of linear algebra to achieve our objectives. Our main finding is that the neutrino dispersion equation has the same structure in terms of Lorentz-violating operators as that of a modified single-fermion Dirac theory. The results will be valuable for phenomenological studies of Lorentz-violating Dirac fermions and neutrinos.

Sign in / Sign up

Export Citation Format

Share Document