A Note on Spontaneously Broken Lorentz Invariance
Akikazu Hashimoto
TL;DR
This paper examines a relativistic vector boson theory with spontaneous Lorentz invariance breaking, highlighting its inconsistency with ultraviolet completion as per recent diagnostic criteria.
Contribution
It analyzes a specific model of Lorentz symmetry breaking and demonstrates its obstruction to consistent ultraviolet completion using recent diagnostic methods.
Findings
The model exhibits spontaneous Lorentz invariance breaking.
It is obstructed from ultraviolet completion.
The diagnostic by Adams et al. applies to this model.
Abstract
We consider a relativistic effective field theory of vector boson whose vacuum exhibits spontaneous breaking of Lorentz invariance. We argue that a simple model of this type, considered recently by Kraus and Tomboulis, is obstructed from having a consistent ultraviolet completion according to the diagnostic recently suggested by Adams, Arkani-Hamed, Dubovsky, Nicolis, and Rattazzi.
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