Vacuum states from a resolution of the lightcone singularity

G. Papadopoulos

doi:10.1016/j.physletb.2021.136507

Vacuum states from a resolution of the lightcone singularity

G. Papadopoulos

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Abstract

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.

Original language	English
Article number	136507
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	820
Early online date	19 Jul 2021
DOIs	https://doi.org/10.1016/j.physletb.2021.136507
Publication status	Published - 10 Sept 2021

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10.1016/j.physletb.2021.136507Licence: CC BY

Vacuum states_PAPADOPOULOS_Accepted 5 Jul 2021_GOLD_VoRAccepted author manuscript, 246 KBLicence: CC BY

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abstract = "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 Poincar{\'e} 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.",

author = "G. Papadopoulos",

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N2 - 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.

AB - 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.

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ER -

Vacuum states from a resolution of the lightcone singularity

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