Lorentz breaking Effective Field Theory and observational tests
arXiv:1203.4105 · doi:10.1007/978-3-319-00266-8_13
Abstract
Analogue models of gravity have provided an experimentally realizable test field for our ideas on quantum field theory in curved spacetimes but they have also inspired the investigation of possible departures from exact Lorentz invariance at microscopic scales. In this role they have joined, and sometime anticipated, several quantum gravity models characterized by Lorentz breaking phenomenology. A crucial difference between these speculations and other ones associated to quantum gravity scenarios, is the possibility to carry out observational and experimental tests which have nowadays led to a broad range of constraints on departures from Lorentz invariance. We shall review here the effective field theory approach to Lorentz breaking in the matter sector, present the constraints provided by the available observations and finally discuss the implications of the persisting uncertainty on the composition of the ultra high energy cosmic rays for the constraints on the higher order, analogue gravity inspired, Lorentz violations.
47 pages, 4 figures. Lecture Notes for the IX SIGRAV School on "Analogue Gravity", Como (Italy), May 2011. V.3. Typo corrected, references added
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- Einstein-aether theory with a Maxwell field: General formalism
- Emergent physics on Mach's principle and the rotating vacuum
- Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
- Extension of the Einstein-Dirac-axion-aether theory based on an effective metric with a spinor kernel