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558224.pdf (102.05 KB)

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2007

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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/12525

General very special relativity is Finsler geometry

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Recurs relacionat

http://dx.doi.org/10.1103/PhysRevD.76.081701

Resum

We ask whether Cohen and Glashow’s very special relativity model for Lorentz violation might be modified, perhaps by quantum corrections, possibly producing a curved space-time with a cosmological constant. We show that its symmetry group ISIM(2) does admit a 2-parameter family of continuous deformations, but none of these give rise to noncommutative translations analogous to those of the de Sitter deformation of the Poincaré group: space-time remains flat. Only a 1-parameter family DISIM b ( 2 ) of deformations of SIM(2) is physically acceptable. Since this could arise through quantum corrections, its implications for tests of Lorentz violations via the Cohen-Glashow proposal should be taken into account. The Lorentz-violating point-particle action invariant under DISIM b ( 2 ) is of Finsler type, for which the line element is homogeneous of degree 1 in displacements, but anisotropic. We derive DISIM b ( 2 ) -invariant wave equations for particles of spins 0, 1 2 , and 1. The experimental bound, | b | < 10 − 26 , raises the question “Why is the dimensionless constant b so small in very special relativity?”

Matèries

Relativitat especial (Física), Geometria diferencial

Matèries (anglès)

Special relativity (Physics), Differential geometry

Citació

Col·leccions

Articles publicats en revistes (Física Quàntica i Astrofísica)

Citació

GIBBONS, G. W., GOMIS TORNÉ, Joaquim and POPE, C. N. General very special relativity is Finsler geometry. Physical Review D. 2007. Vol. 76, num. 8, pags. 081701-1-081701-5. ISSN 0556-2821. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/12525

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