Super Yang-Mills and θ-exact Seiberg-Witten map: absence of quadratic noncommutative IR divergences

Super Yang-Mills and θ-exact Seiberg-Witten map: absence of quadratic noncommutative IR divergences

A bstract We compute the one-loop 1PI contributions to all the propagators of the noncommutative (NC) N = 1 , 2 , 4 super Yang-Mills (SYM) U(1) theories defined by the means of the θ -exact Seiberg-Witten (SW) map in the Wess-Zumino gauge. Then we extract the UV divergent contributions and the nonco...

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Veröffentlicht in:The journal of high energy physics 2016-05, Vol.2016 (5), Article 169
Hauptverfasser: Martin, Carmelo P., Trampetic, Josip, You, Jiangyang
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Elementary Particles
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Zusammenfassung:A bstract We compute the one-loop 1PI contributions to all the propagators of the noncommutative (NC) N = 1 , 2 , 4 super Yang-Mills (SYM) U(1) theories defined by the means of the θ -exact Seiberg-Witten (SW) map in the Wess-Zumino gauge. Then we extract the UV divergent contributions and the noncommutative IR divergences. We show that all the quadratic noncommutative IR divergences add up to zero in each propagator.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2016)169