Gauge-Invariant $U(1)$ Model in the Axial Gauge on the Noncommutative Plane
Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 3, pp. 388-395

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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.
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     author = {A. A. Slavnov},
     title = {Gauge-Invariant $U(1)$ {Model} in the {Axial} {Gauge} on the {Noncommutative} {Plane}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {388--395},
     publisher = {mathdoc},
     volume = {140},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_140_3_a2/}
}
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A. A. Slavnov. Gauge-Invariant $U(1)$ Model in the Axial Gauge on the Noncommutative Plane. Teoretičeskaâ i matematičeskaâ fizika, Tome 140 (2004) no. 3, pp. 388-395. http://geodesic.mathdoc.fr/item/TMF_2004_140_3_a2/