Quantum Field Theory and the Standard Model by Schwartz M.D. z-lib.org · Problem 10.4

Spinors — Schwartz M.D. z-lib.org

Physics — QFT · majorana-representation

Problem

Majorana representation. (a) Write out the form of the Lorentz generators in the Majorana representation. (b) Compute

\vec{J}^2

in the Majorana representation, the left-handed Weyl representation and 4-vector representation. How do you interpret the eigenvalues of

\vec{J}^2

? (c) Calculate

\gamma^5 = i\gamma^0\gamma^1\gamma^2\gamma^3

in the Majorana representation.