Vacuum states from a resolution of the lightcone singularity

The lightcone singularity at the origin is resolved by blowing up the singular point to CP1. The Lorentz group acts on the resolved lightcone and has CP1 as a special orbit. Using Wigner's method of associating unitary irreducible representations of the Poincaré group to particle states, we fin...

Full description

Saved in:
Bibliographic Details
Published inPhysics letters. B Vol. 820; p. 136507
Main Author Papadopoulos, G.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.09.2021
Elsevier
Online AccessGet full text

Cover

More Information
Summary:The lightcone singularity at the origin is resolved by blowing up the singular point to CP1. The Lorentz group acts on the resolved lightcone and has CP1 as a special orbit. Using Wigner's method of associating unitary irreducible representations of the Poincaré group to particle states, we find that the special orbit gives rise to new vacuum states. These vacuum states are labeled by the principal series representations of SL(2,C). Some remarks are included on the applications of these results to gauge theories and asymptotically flat spacetimes.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2021.136507