Quantum field theoretic properties of Lorentzviolating operators of nonrenormalizable dimension in the photon sector
Abstract
In the context of the nonminimal Standard Model extension a special subset of the CPTeven higherdimensional operators in the photon sector is discussed from a quantum field theoretical point of view. The modified dispersion laws, photon polarization vectors and the gauge field propagator are obtained and their properties are analyzed. It is demonstrated that for certain sectors of the modified theory a puzzle arises for the optical theorem at tree level. This is followed by a discussion of how it can be interpreted and resolved at first order Lorentz violation. Furthermore the commutator of two gauge fields that are evaluated at different spacetime points is obtained and discussed. The structure of the theory is shown to resemble the structure of the modification based on the corresponding dimension4 operator. However some properties are altered due to the nonrenormalizable nature of the theory considered. The results provide more insight into the characteristics of Lorentzviolating quantum field theories that rest upon contributions of nonrenormalizable dimension.
 Publication:

Physical Review D
 Pub Date:
 May 2014
 DOI:
 10.1103/PhysRevD.89.105019
 arXiv:
 arXiv:1312.4916
 Bibcode:
 2014PhRvD..89j5019S
 Keywords:

 11.30.Cp;
 14.70.Bh;
 03.70.+k;
 11.15.Bt;
 Lorentz and Poincare invariance;
 Photons;
 Theory of quantized fields;
 General properties of perturbation theory;
 High Energy Physics  Theory
 EPrint:
 25 pages, 2 figures