U(1) gauge invariant noncommutative Schroedinger theory and gravity

Journal Article · Sun May 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.105007· OSTI ID:20709309

Muthukumar, B ^[1]

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1. Saha Institute of Nuclear Physics, 1/AF, Bidhan nagar, Kolkata-700 064 (India)

We consider the complex, massive Klein-Gordon field living in the noncommutative space, and coupled to noncommutative electromagnetic fields. After employing the Seiberg-Witten map to first order, we analyze the noncommutative Klein-Gordon theory as c, which corresponds to the velocity of light, goes to infinity. We show that the theory exhibits a regular 'magnetic' limit only for certain forms of magnetic fields. The resulting theory is nothing but the Schroedinger theory in a gravitational background generated by the gauge fields.

• OSTI ID: 20709309
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
ELECTROMAGNETIC FIELDS
GAUGE INVARIANCE
GRAVITATION
KLEIN-GORDON EQUATION
MAGNETIC FIELDS
QUANTUM FIELD THEORY
U-1 GROUPS