Lorentz- And permutation-invariants of particles
| cam.issuedOnline | 2021-03-22 | |
| dc.contributor.author | Gripaios, B | |
| dc.contributor.author | Haddadin, W | |
| dc.contributor.author | Lester, CG | |
| dc.contributor.orcid | Haddadin, W [0000-0002-1217-4775] | |
| dc.date.accessioned | 2022-02-11T09:30:50Z | |
| dc.date.available | 2022-02-11T09:30:50Z | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2020-08-12 | |
| dc.date.updated | 2022-02-11T09:30:50Z | |
| dc.description.abstract | A theorem of Weyl tells us that the Lorentz (and parity) invariant polynomials in the momenta of $n$ particles are generated by the dot products. We extend this result to include the action of an arbitrary permutation group $P \subset S_n$ on the particles, to take account of the quantum-field-theoretic fact that particles can be indistinguishable. Doing so provides a convenient set of variables for describing scattering processes involving identical particles, such as $pp \to jjj$, for which we provide an explicit set of Lorentz and permutation invariant generators. | |
| dc.identifier.doi | 10.17863/CAM.81321 | |
| dc.identifier.eissn | 1751-8121 | |
| dc.identifier.issn | 1751-8113 | |
| dc.identifier.other | aabe58c | |
| dc.identifier.other | abe58c | |
| dc.identifier.other | jphysa-114741.r1 | |
| dc.identifier.uri | https://www.repository.cam.ac.uk/handle/1810/333905 | |
| dc.language | en | |
| dc.language.iso | eng | |
| dc.publisher | IOP Publishing | |
| dc.publisher.url | http://dx.doi.org/10.1088/1751-8121/abe58c | |
| dc.subject | mathematical physics | |
| dc.subject | invariant theory | |
| dc.subject | Hironaka decomposition | |
| dc.subject | minimal algebra generators | |
| dc.subject | invariant polynomial generators | |
| dc.title | Lorentz- And permutation-invariants of particles | |
| dc.type | Article | |
| dcterms.dateAccepted | 2021-02-11 | |
| prism.issueIdentifier | 15 | |
| prism.publicationName | Journal of Physics A: Mathematical and Theoretical | |
| prism.volume | 54 | |
| pubs.funder-project-id | Science and Technology Facilities Council (ST/P000681/1) | |
| pubs.funder-project-id | Science and Technology Facilities Council (ST/S505316/1) | |
| pubs.funder-project-id | STFC (ST/T000694/1) | |
| rioxxterms.licenseref.uri | https://creativecommons.org/licenses/by/4.0/ | |
| rioxxterms.version | VoR | |
| rioxxterms.versionofrecord | 10.1088/1751-8121/abe58c |
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