Realization of the noncommutative Seiberg–Witten gauge theory by fields in phase space

Author:

Amorim R. G. G.12,Khanna F. C.34,Malbouisson A. P. C.5,Malbouisson J. M. C.6,Santana A. E.2

Affiliation:

1. Faculdade Gama, Universidade de Brasília, 72444-240, Brasília, DF, Brazil

2. International Center for Condensed Matter Physics, Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil

3. Department of Physics and Astronomy, University of Victoria, 3800 Finnerty Road Victoria, BC, V8P 5C2, Canada

4. TRIUMF, 4004, Westbrook Mall, Vancouver, British Columbia, V6T 2A3, Canada

5. Centro Brasileiro de Pesquisas Físicas, Rua Dr. X. Sigaud 150, 22290-180, Rio de Janeiro, RJ, Brazil

6. Instituto de Física, Universidade Federal da Bahia, 40210-340, Salvador, BA, Brazil

Abstract

Representations of the Poincaré symmetry are studied by using a Hilbert space with a phase space content. The states are described by wave functions (quasi-amplitudes of probability) associated with Wigner functions (quasi-probability density). The gauge symmetry analysis provides a realization of the Seiberg–Witten gauge theory for noncommutative fields.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Reference48 articles.

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2. Noncommutative field theory

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4. Quantized Space-Time

5. The Electromagnetic Field in Quantized Space-Time

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