The unitary representations of the Poincar\'e group in any spacetime dimension

Bekaert, Xavier; Boulanger, Nicolas

doi:10.21468/SciPostPhysLectNotes.30

SciPost Physics Lecture Notes

The unitary representations of the Poincar\'e group in any spacetime dimension

Xavier Bekaert, Nicolas Boulanger

SciPost Phys. Lect. Notes 30 (2021) · published 14 June 2021

doi: 10.21468/SciPostPhysLectNotes.30
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Abstract

An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented. An exhaustive treatment is performed of the two most important classes of unitary irreducible representations of the Poincar\'e group, corresponding to massive and massless fundamental particles. Covariant field equations are given for each unitary irreducible representation of the Poincar\'e group with non-negative mass-squared.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysLectNotes.30
TI  - The unitary representations of the Poincar\'e group in any spacetime dimension
PY  - 2021/06/14
UR  - https://scipost.org/SciPostPhysLectNotes.30
JF  - SciPost Physics Lecture Notes
JA  - SciPost Phys. Lect. Notes
SP  - 30
A1  - Bekaert, Xavier
AU  - Boulanger, Nicolas
AB  - An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented. An exhaustive treatment is performed of the two most important classes of unitary irreducible representations of the Poincar\'e group, corresponding to massive and massless fundamental particles. Covariant field equations are given for each unitary irreducible representation of the Poincar\'e group with non-negative mass-squared.
ER  -

@Article{10.21468/SciPostPhysLectNotes.30,
	title={{The unitary representations of the Poincar\'e group in any spacetime dimension}},
	author={Xavier Bekaert and Nicolas Boulanger},
	journal={SciPost Phys. Lect. Notes},
	pages={30},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhysLectNotes.30},
	url={https://scipost.org/10.21468/SciPostPhysLectNotes.30},
}

Cited by 4

Authors / Affiliations: mappings to Contributors and Organizations

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¹ Xavier Bekaert,
² Nicolas Boulanger

Funder for the research work leading to this publication

Fonds De La Recherche Scientifique - FNRS (FNRS) (through Organization: Fonds National de la Recherche Scientifique [FNRS])