Geometry of the gauge algebra in non-commutative yang-mills theory

Fedele Lizzi; Alessandro Zampini; Richard J. Szabo

doi:10.1088/1126-6708/2001/08/032

Geometry of the gauge algebra in non-commutative yang-mills theory

Fedele Lizzi
, Alessandro Zampini
, Richard J. Szabo

Research output: Contribution to journal › Article › peer-review

44 Citations (Scopus)

Abstract

A detailed description of the infinite-dimensional Lie algebra of ⋆-gauge transformations in non-commutative Yang-Mills theory is presented. Various descriptions of this algebra are given in terms of inner automorphisms of the underlying deformed algebra of functions on spacetime, of deformed symplectic diffeomorphisms, of the infinite unitary Lie algebra u(∞), and of the C∗-algebra of compact operators on a quantum mechanical Hilbert space. The spacetime and string interpretations are also elucidated.

Original language	English
Article number	032
Journal	Journal of High Energy Physics
Volume	2001
Issue number	8
DOIs	https://doi.org/10.1088/1126-6708/2001/08/032
Publication status	Published - Aug 2001

Keywords

Gauge Symmetry
Non-Commutative Geometry
Space-Time Symmetries

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1088/1126-6708/2001/08/032

Cite this

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abstract = "A detailed description of the infinite-dimensional Lie algebra of ⋆-gauge transformations in non-commutative Yang-Mills theory is presented. Various descriptions of this algebra are given in terms of inner automorphisms of the underlying deformed algebra of functions on spacetime, of deformed symplectic diffeomorphisms, of the infinite unitary Lie algebra u(∞), and of the C∗-algebra of compact operators on a quantum mechanical Hilbert space. The spacetime and string interpretations are also elucidated.",

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AB - A detailed description of the infinite-dimensional Lie algebra of ⋆-gauge transformations in non-commutative Yang-Mills theory is presented. Various descriptions of this algebra are given in terms of inner automorphisms of the underlying deformed algebra of functions on spacetime, of deformed symplectic diffeomorphisms, of the infinite unitary Lie algebra u(∞), and of the C∗-algebra of compact operators on a quantum mechanical Hilbert space. The spacetime and string interpretations are also elucidated.

KW - Gauge Symmetry

KW - Non-Commutative Geometry

KW - Space-Time Symmetries

UR - https://www.scopus.com/pages/publications/33745028631

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DO - 10.1088/1126-6708/2001/08/032

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ER -

Geometry of the gauge algebra in non-commutative yang-mills theory

Abstract

Keywords

ASJC Scopus subject areas

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