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Article

Symmetry of Dressed Photon

Institute of Mathematics for Industry, Kyushu University, Fukuoka 819-0395, Japan
Academic Editor: Ignatios Antoniadis
Symmetry 2021, 13(7), 1283; https://doi.org/10.3390/sym13071283
Received: 1 July 2021 / Revised: 13 July 2021 / Accepted: 14 July 2021 / Published: 16 July 2021
(This article belongs to the Special Issue Quantum Fields and Off-Shell Sciences)
Motivated by describing the symmetry of a theoretical model of dressed photons, we introduce several spaces with Lie group actions and the morphisms between them depending on three integer parameters nrs on dimensions. We discuss the symmetry on these spaces using classical invariant theory, orbit decomposition of prehomogeneous vector spaces, and compact reductive homogeneous space such as Grassmann manifold and flag variety. Finally, we go back to the original dressed photon with n=4,r=2,s=1. View Full-Text
Keywords: dressed photon; Grassmann manifold; flag manifold; pre-homogeneous vector space; invariants dressed photon; Grassmann manifold; flag manifold; pre-homogeneous vector space; invariants
MDPI and ACS Style

Ochiai, H. Symmetry of Dressed Photon. Symmetry 2021, 13, 1283. https://doi.org/10.3390/sym13071283

AMA Style

Ochiai H. Symmetry of Dressed Photon. Symmetry. 2021; 13(7):1283. https://doi.org/10.3390/sym13071283

Chicago/Turabian Style

Ochiai, Hiroyuki. 2021. "Symmetry of Dressed Photon" Symmetry 13, no. 7: 1283. https://doi.org/10.3390/sym13071283

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