Seiberg--Witten Maps to All Orders

Abstract

All order Seiberg--Witten maps of gauge parameter, gauge field and matter fields are given as a closed recursive formula. These maps are obtained by analyzing the order by order solutions of the gauge consistency and equivalence conditions as well as by directly solving Seiberg-Witten differential equations. The explicit third order non-abelian and fourth order abelian Seiberg-Witten maps of gauge parameter and gauge field are also presented.

16 pages

References in corpus (2)

• The Noncommutative Standard Model at O(theta^2)
• Remarks on the 2nd order Seiberg-Witten maps

Cited by in corpus (1)

• Noncommutative Corrections to the Robertson-Walker metric