Sayandeb Basu and David Mattingly 2005 Class. Quantum Grav. 22 3029 doi:10.1088/0264-9381/22/14/012
Sayandeb Basu and David Mattingly
Show affiliationsIn this paper we analyse the radiation loss from a high-energy cosmic ray proton propagating in a spacetime with non-systematic Lorentz violation. From an effective field theory perspective, we illuminate flaws in previous attempts that use threshold approaches to analyse this problem. We argue that in general such approaches are of rather limited use when dealing with non-systematic Lorentz violating scenarios. The main issues we raise are (a) the limited applicability of threshold energy conservation rules when translation invariance is broken and (b) the large amount of proton particle production due to the time dependence of the fluctuations. Ignoring particle production, we derive a constraint on the magnitude of velocity fluctuation |vf| < 10−6.5, much weaker than has been previously argued. However, we show that in fact particle production makes any such constraint completely unreliable.
11.30.Cp Lorentz and Poincare invariance
Issue 14 (21 July 2005)
Received 18 March 2005, in final form 18 May 2005
Published 4 July 2005
Sayandeb Basu and David Mattingly 2005 Class. Quantum Grav. 22 3029
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