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Symmetries of Field Theories on the Noncommutative Plane

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Abstract

We report new developments concerning the symmetry properties and their actions on special solutions allowed by certain field theory models on the noncommutative plane. In particular, we seek Galilean-invariant models. The analysis indicates that this requirement strongly restricts the admissible interactions. Moreover, if a scalar field is coupled to a gauge field, then a geometric phase emerges for vortexlike solutions transformed by Galilean boosts.

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Authors and Affiliations

  1. Laboratoire de Mathematiques et Physique Theoretique, Universite de Tours, P. Grandmont, F-37 200, Tours, France

    P. A. Horvathy

  2. Sezione di Lecce, Istituto Nazionale di Fisica Nucleare, Universita degli Studi di Lecce, v. Arnesano, CP. 193, I-73 100, Lecce, Italy

    L. Martina

  3. Dipartimento di Fisica, Universita degli Studi di Lecce, v. Arnesano, CP. 193, I-73 100, Lecce, Italy

    L. Martina

  4. An der Krebskuhle 21, D-33 619, Bielefeld, Germany

    P. C. Stichel

Authors
  1. P. A. Horvathy
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  2. L. Martina
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  3. P. C. Stichel
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 1, pp. 64–73, July, 2005.

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Horvathy, P.A., Martina, L. & Stichel, P.C. Symmetries of Field Theories on the Noncommutative Plane. Theor Math Phys 144, 935–943 (2005). https://doi.org/10.1007/s11232-005-0120-z

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