Limits on a Lorentz and parityviolating modification of electrodynamics
Abstract
The ChernSimons Lagrangian has been studied previously in (2+1)dimensional spacetime, where it is both gauge and Lorentz invariant. In 3+1 dimensions, this term couples the dual electromagnetic tensor to an external fourvector. If we take this fourvector to be fixed, the term is gauge invariant but not Lorentz invariant. In this paper, we examine both the theoretical consequences of such a modification and observational limits we can put on its magnitude. The ChernSimons term would rotate the plane of polarization of radiation from distant galaxies, an effect which is not observed. From the observations we deduce that the magnitude of the vector is <1.7×10^{42}h_{0} GeV, where h_{0} is the Hubble constant in units of 100 km sec^{1} Mpc^{1}.
 Publication:

Physical Review D
 Pub Date:
 February 1990
 DOI:
 10.1103/PhysRevD.41.1231
 Bibcode:
 1990PhRvD..41.1231C
 Keywords:

 12.90.+b;
 03.30.+p;
 11.90.+t;
 98.70.Dk;
 Miscellaneous theoretical ideas and models;
 Special relativity;
 Other topics in general theory of fields and particles;
 Radio sources