Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-12-18
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
We show that the Lagrangian of the free spin-5/2 field in the spinor-tensor representation with the auxiliary spinor field depends on the three arbitrary parameters. The first two parameters are associated with the spin-3/2 and -1/2 sector of the theory while the latter one is related to the auxiliary degrees of freedom. We derive a corresponding propagator of the system which represents (2 x 2) matrix in the $(\psi_{\mu\nu},\xi)$ space. The diagonal terms stand for the propagation of the spin-5/2 and auxiliary fields whereas the non-diagonal ones correspond to the $\psi_{\mu\nu}-\xi$ mixing. The resulting spin-5/2 propagator contains non-pole contributions coming from the spin-3/2 and -1/2 sector of the spinor-tensor representation. A general form of the interaction vertex involving spin-5/2 field is discussed on the example of the $\pi N N^*_{5/2}$ coupling. It is demonstrated that lower spin degrees of freedom can be removed from the theory by using higher order derivative coupling.
Lenske Horst
Mosel Ulrich
Shklyar Vitaliy
No associations
LandOfFree
Spin-5/2 fields in hadron physics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spin-5/2 fields in hadron physics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin-5/2 fields in hadron physics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-350125