Naslov
Quantum duality under the θ-exact Seiberg-Witten map

Autori
Martin, Carmelo P. ; Trampetić, Josip ; You, Jiangyang

Izvornik
Journal of high energy physics (1029-8479) 2016 (2016), 09; 052-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
BRST Quantization, Non-Commutative Geometry, Supersymmetric gauge theory

Sažetak
We show that in the perturbative regime defined by the coupling constant, the θ-exact Seiberg-Witten map applied to the noncommutative U(N) Yang-Mills, with or without Supersymmetry, gives an ordinary gauge theory which is, at the quantum level, dual to the former. We do so by using the on-shell DeWitt ective action and dimensional regularization. We explicitly compute the one-loop two-point function contribution to the on-shell DeWitt e ective action of the ordinary U(1) theory furnished by the θ-exact Seiberg-Witten map. We find that the non-local UV divergences found in the propagator in the Feynman gauge all but disappear, so that they are not physically relevant. We also show that the quadratic noncommutative IR divergences are gauge-fixing independent and go away in the Supersymmetric version of the U(1) theory.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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