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

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	295-314
Number of pages	20
Journal	Annals of Physics
Volume	297
Issue number	2
DOIs	https://doi.org/10.1006/aphy.2002.6247
Publication status	Published - 1 May 2002

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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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U2 - 10.1006/aphy.2002.6247

DO - 10.1006/aphy.2002.6247

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JO - Annals of Physics

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Finite group discretization of Yang-Mills and Einstein actions

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