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Enveloping algebra-valued gauge transformations for non-abelian gauge groups on non-commutative spaces

✍ Scribed by B. Jurco; S. Schraml; P. Schupp; J. Wess

Publisher: Springer-Verlag
Year: 2000
Tongue: English
Weight: 136 KB
Volume: 17
Category: Article
ISSN: 1434-6044
DOI: 10.1007/s100520000487

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## Abstract We present non‐perturbative results for __U__(1) gauge theory in spaces, which include a non‐commutative plane. In contrast to the commutative space, such gauge theories involve a Yang‐Mills term, and the Wilson loop is complex on the non‐perturbative level. We first consider the 2d cas