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arXiv · 0912.3642

Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term

Daniel N. Blaschke·Harald Grosse·Erwin Kronberger·Manfred Schweda·Michael Wohlgenannt
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Abstract

Motivated by the success of the non-commutative scalar Grosse-Wulkenhaar model, a non-commutative U(1) gauge field theory including an oscillator-like term in the action has been put forward in arXiv:0705.4205. The aim of the current work is to analyze whether that action can lead to a fully renormalizable gauge model on non-commutative Euclidean space. In a first step, explicit one-loop graph computations are hence presented, and their results as well as necessary modifications of the action are successively discussed.

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Daniel N. Blaschke, Harald Grosse, Erwin Kronberger, Manfred Schweda, Michael Wohlgenannt. 2009-12-18. Loop Calculations for the Non-Commutative U(1) Gauge Field Model with Oscillator Term. https://doi.org/10.1140/epjc%2Fs10052-010-1295-5

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