Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-27
Phys.Rev. D65 (2002) 085023
Physics
High Energy Physics
High Energy Physics - Theory
Plain Tex, 23 pages, 4 figures
Scientific paper
10.1103/PhysRevD.65.085023
A new presentation of the Borchers-Buchholz result of the Lorentz-invariance of the energy-momentum spectrum in theories with broken Lorentz symmetry is given in terms of properties of the Green's functions of microcausal Bose and Fermi-fields. Strong constraints based on complex geometry phenomenons are shown to result from the interplay of the basic principles of causality and stability in Quantum Field Theory: if microcausality and energy-positivity in all Lorentz frames are satisfied, then it is unavoidable that all stable particles of the theory be governed by Lorentz-invariant dispersion laws: in all the field sectors, discrete parts outside the continuum as well as the thresholds of the continuous parts of the energy-momentum spectrum, with possible holes inside it, are necessarily represented by mass-shell hyperboloids (or the light-cone). No violation of this geometrical fact can be produced by spontaneous breaking of the Lorentz symmetry.
Bros Jacques
Epstein Henri
No associations
LandOfFree
Microcausality and Energy-Positivity in all frames imply Lorentz Invariance of dispersion laws does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Microcausality and Energy-Positivity in all frames imply Lorentz Invariance of dispersion laws, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Microcausality and Energy-Positivity in all frames imply Lorentz Invariance of dispersion laws will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-675081