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The unitary representations of the Poincar\'e group in any spacetime dimension
by Xavier Bekaert and Nicolas Boulanger
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Submission summary
| Authors (as registered SciPost users): | Nicolas Boulanger |
| Submission information | |
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| Preprint Link: | scipost_202105_00025v1 (pdf) |
| Date accepted: | June 7, 2021 |
| Date submitted: | May 18, 2021, 11:27 a.m. |
| Submitted by: | Nicolas Boulanger |
| Submitted to: | SciPost Physics Lecture Notes |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
Published as SciPost Phys. Lect. Notes 30 (2021)