Geometry of the gauge algebra in noncommutative Yang-Mills theory | Zendy

Fedele Lizzi | Zendy; Alessandro Zampini | Zendy; Richard J. Szabo | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Geometry of the gauge algebra in noncommutative Yang-Mills theory

Author(s) -

Fedele Lizzi,

Alessandro Zampini,

Richard J. Szabo

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

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

Subject(s) - noncommutative geometry , algebra over a field , algebra representation , mathematics , filtered algebra , noncommutative algebraic geometry , universal enveloping algebra , affine lie algebra , cellular algebra , lie conformal algebra , current algebra , gauge theory , physics , mathematical physics , pure mathematics , noncommutative quantum field theory

A detailed description of the infinite-dimensional Lie algebra of star-gaugetransformations in noncommutative Yang-Mills theory is presented. Variousdescriptions of this algebra are given in terms of inner automorphisms of theunderlying deformed algebra of functions on spacetime, of deformed symplecticdiffeomorphisms, of the infinite unitary Lie algebra, and of the algebra ofcompact operators on a quantum mechanical Hilbert space. The spacetime andstring interpretations are also elucidated.Comment: 49 pages LaTeX; v2: References added; v3: Typos corrected and references added; final version published in JHE

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research