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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 64–73
DOI: https://doi.org/10.4213/tmf1832 (Mi tmf1832) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Symmetries of Field Theories on the Noncommutative Plane

P. A. Horváthya, L. Martinab, P. C. Stichel

a Universite de Tours
b Lecce University
Full-text PDF (220 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf1832
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.
Keywords: symmetries of field theories, noncommutative plane, Chern–Simons field.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 935–943
DOI: https://doi.org/10.1007/s11232-005-0120-z
Bibliographic databases:
Language: Russian
Citation: P. A. Horváthy, L. Martina, P. C. Stichel, “Symmetries of Field Theories on the Noncommutative Plane”, TMF, 144:1 (2005), 64–73; Theoret. and Math. Phys., 144:1 (2005), 935–943
Citation in format AMSBIB
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\paper Symmetries of Field Theories on the Noncommutative Plane
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 1
\pages 935--943
\crossref{https://doi.org/10.1007/s11232-005-0120-z}
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  • https://www.mathnet.ru/eng/tmf1832
  • https://doi.org/10.4213/tmf1832
  • https://www.mathnet.ru/eng/tmf/v144/i1/p64
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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