Jena 2013 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Quanten+Gravitation 2

MP 9.1: Talk

Wednesday, February 27, 2013, 17:15–17:40, HS 8

Fermions in curved space — •Stefan Lippoldt and Holger Gies — Theoretisch-Physikalisches Institut, Jena, Deutschland

The Dirac equation gives rise to the Clifford algebra for the Dirac γ matrices, which holds also in curved spacetime. This algebra is invariant under diffeomorphisms as well as local spin base transformations SL(4, C). It is shown that there exists a formalism due to A. Weldon in which the necessary covariant derivative can be constructed from the γ matrices itself without recourse to a vierbein construction. The well-known vierbein formalism is included as a special gauge choice for the γ matrices. We use this formalism to study symmetry breaking transitions of fermion systems on curved space.