Seiberg-Witten map and Galilean symmetry violation in a noncommutative planar system
Journal Article
·
· Physical Review. D, Particles Fields
- Satyendra Nath Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake, Kolkata - 700098 (India)
An effective U(1) gauge invariant theory is constructed for a noncommutative Schroedinger field coupled to a background U(1){sub *} gauge field in 2+1-dimensions using first order Seiberg-Witten map. We show that this effective theory can be cast in the form of usual Schroedinger action with interaction terms of noncommutative origin provided the gauge field is of background type with constant magnetic field. The Galilean symmetry is investigated and a violation is found in the boost sector. We also consider the problem of Hall conductivity in this framework.
- OSTI ID:
- 20698077
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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