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

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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)

$U(1)$ 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)

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DOI: https://doi.org/10.4213/tmf105

Abstract: We study a gauge-invariant

U (1)

$U(1)$ 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)

$U(1)$ 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:

Daniel N. Blaschke, Erwin Kronberger, René I. P. Sedmik, Michael Wohlgenannt, “Gauge Theories on Deformed Spaces”, SIGMA, 6 (2010), 062, 70 pp.
Blaschke, DN, “Translation-invariant models for non-commutative gauge fields”, Journal of Physics A-Mathematical and Theoretical, 41:25 (2008), 252002
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
Blaschke D.N., Hohenegger S., “A generalization of Slavnov-extended non-commutative gauge theories”, Journal of High Energy Physics, 2007, no. 8, 032
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
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
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	237
References:	79
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