Ultraviolet Modifications of Dispersion Relations in Effective Field Theory
Abstract
The existence of a fundamental ultraviolet scale, such as the Planck scale, may lead to modifications of the dispersion relations for particles at high energies in some scenarios of quantum gravity. We apply effective field theory to this problem and identify dimension5 operators that do not mix with dimensions 3 and 4 and lead to cubic modifications of dispersion relations for scalars, fermions, and vector particles. Further we show that, for electrons, photons and light quarks, clock comparison experiments bound these operators at 10^{5}/M_{Pl}.
 Publication:

Physical Review Letters
 Pub Date:
 May 2003
 DOI:
 10.1103/PhysRevLett.90.211601
 arXiv:
 arXiv:hepph/0301124
 Bibcode:
 2003PhRvL..90u1601M
 Keywords:

 11.30.Cp;
 04.60.m;
 11.10.Ef;
 Lorentz and Poincare invariance;
 Quantum gravity;
 Lagrangian and Hamiltonian approach;
 High Energy Physics  Phenomenology;
 Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 Version to appear in Phys.Rev.Lett