Finite group discretization of Yang-Mills and Einstein actions

Leonardo Castellani; Chiara Pagani

doi:10.1006/aphy.2002.6247

Finite group discretization of Yang-Mills and Einstein actions

Leonardo Castellani, Chiara Pagani

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

Discrete versions of the Yang-Mills and Einstein actions are proposed for any finite group. These actions are invariant respectively under local gauge transformations and under the analogues of Lorentz and general coordinate transformations. The case Z_n x Z_n x ⋯ x Z_n is treated in some detail, recovering the Wilson action for Yang-Mills theories and a new discretized action for gravity.

Lingua originale	Inglese
pagine (da-a)	295-314
Numero di pagine	20
Rivista	Annals of Physics
Volume	297
Numero di pubblicazione	2
DOI	https://doi.org/10.1006/aphy.2002.6247
Stato di pubblicazione	Pubblicato - 1 mag 2002

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10.1006/aphy.2002.6247

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abstract = "Discrete versions of the Yang-Mills and Einstein actions are proposed for any finite group. These actions are invariant respectively under local gauge transformations and under the analogues of Lorentz and general coordinate transformations. The case Zn x Zn x ⋯ x Zn is treated in some detail, recovering the Wilson action for Yang-Mills theories and a new discretized action for gravity.",

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AB - Discrete versions of the Yang-Mills and Einstein actions are proposed for any finite group. These actions are invariant respectively under local gauge transformations and under the analogues of Lorentz and general coordinate transformations. The case Zn x Zn x ⋯ x Zn is treated in some detail, recovering the Wilson action for Yang-Mills theories and a new discretized action for gravity.

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Finite group discretization of Yang-Mills and Einstein actions

Abstract

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