Finite group discretization of Yang-Mills and Einstein actions

Leonardo CASTELLANI; C. PAGANI

Finite group discretization of Yang-Mills and Einstein actions

Leonardo CASTELLANI, C. PAGANI

Department of Science and Technological Innovation

Research output: Contribution to journal › Article

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)	295-295
Number of pages	295
Journal	Annals of Physics
Volume	297
Publication status	Published - 2002

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title = "Finite group discretization of Yang-Mills and Einstein actions",

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.",

author = "Leonardo CASTELLANI and C. PAGANI",

year = "2002",

language = "English",

volume = "297",

pages = "295--295",

journal = "Annals of Physics",

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T1 - Finite group discretization of Yang-Mills and Einstein actions

AU - CASTELLANI, Leonardo

AU - PAGANI, C.

PY - 2002

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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.

UR - https://iris.uniupo.it/handle/11579/11035

M3 - Article

SN - 0003-4916

VL - 297

SP - 295

EP - 295

JO - Annals of Physics

JF - Annals of Physics

ER -

Finite group discretization of Yang-Mills and Einstein actions

Abstract

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