Volume 114, Number 5, June 2016
|Number of page(s)||4|
|Published online||24 June 2016|
On the emergent dynamics of fermions in curved spacetime
Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University Leuvenlaan 4, 3584 CE Utrecht, The Netherlands
Received: 11 March 2016
Accepted: 5 June 2016
Relativistic spin-(1/2) particles in curved spacetime are naturally described by Dirac theory, which is a dynamical and Lorentz-invariant field theory. In this work, we propose a non-dynamical fermion theory in 3+1 dimensions dubbed spinor topological field theory, built in terms of a spinor field and a Cartan connection related to de Sitter group. We show that our model gives rise to the Dirac theory in curved spacetime when the local de Sitter gauge invariance of the model breaks down to the Lorentz gauge invariance, providing also a geometric origin to the fermion mass. Finally, we show that other gauge fields and suitable four-fermion interactions can be included in a straightforward way.
PACS: 04.62.+v – Quantum fields in curved spacetime / 02.40.-k – Geometry, differential geometry, and topology / 03.65.Vf – Phases: geometric; dynamic or topological
© EPLA, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.