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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 3, Pages 388–395
DOI: https://doi.org/10.4213/tmf105 (Mi tmf105) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Gauge-Invariant $U(1)$ Model in the Axial Gauge on the Noncommutative Plane

A. A. Slavnov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (184 kB) Citations (7)
References:
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DOI: https://doi.org/10.4213/tmf105
Abstract: We study a gauge-invariant $U(1)$ model on the noncommutative spacelike plane, a description of a scalar particle, in the axial gauge. Using this gauge makes the absence of nonintegrable infrared singularities and the existence of the smooth commutative limit obvious.
Keywords: noncommutative field theory, UV–IR mixing.
Received: 12.01.2004
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 3, Pages 1222–1228
DOI: https://doi.org/10.1023/B:TAMP.0000039828.45005.51
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Slavnov, “Gauge-Invariant $U(1)$ Model in the Axial Gauge on the Noncommutative Plane”, TMF, 140:3 (2004), 388–395; Theoret. and Math. Phys., 140:3 (2004), 1222–1228
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf105
  • https://doi.org/10.4213/tmf105
  • https://www.mathnet.ru/eng/tmf/v140/i3/p388
    • This publication is cited in the following 7 articles:
    1. Daniel N. Blaschke, Erwin Kronberger, René I. P. Sedmik, Michael Wohlgenannt, “Gauge Theories on Deformed Spaces”, SIGMA, 6 (2010), 062, 70 pp.  mathnet  crossref  mathscinet
    2. Blaschke, DN, “Translation-invariant models for non-commutative gauge fields”, Journal of Physics A-Mathematical and Theoretical, 41:25 (2008), 252002  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Blaschke D.N., “A Vector Supersymmetry Killing IR Divergences in Non-Commutative Gauge Theories”, International Conference on Noncommutative Geometry and Physics, Journal of Physics Conference Series, 103, 2008  crossref  isi  scopus  scopus
    4. Blaschke D.N., Hohenegger S., “A generalization of Slavnov-extended non-commutative gauge theories”, Journal of High Energy Physics, 2007, no. 8, 032  crossref  mathscinet  zmath  isi
    5. Blaschke D.N., Gieres F., Piguet O., Schweda M., “A vector supersymmetry in noncommutative U(1) gauge theory with the Slavnov term”, Journal of High Energy Physics, 2006, no. 5, 059  crossref  mathscinet  isi  scopus  scopus
    6. Blaschke D.N., Hohenegger S., Schweda M., “Divergences in non-commutative gauge theories with the Slavnov term”, Journal of High Energy Physics, 2005, no. 11, 041  crossref  mathscinet  isi  scopus  scopus
    7. Attrems M., Blaschke D.N., Ortner M., Schweda M., Stricker S., Weiretmayr M., “Gauge independence of IR singularities in non-commutative QFT and interpolating gauges”, Journal of High Energy Physics, 2005, no. 7, 071  crossref  mathscinet  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:78
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