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Renormalisation of scalar quantum field theory on noncommutative ℝ4

✍ Scribed by H. Grosse; R. Wulkenhaar

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
162 KB
Volume
53
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

We give the main ideas our proof that the noncommutative ϕ^4^‐model is renormalisable to all orders. Compared with the commutative case, the bare action of relevant and marginal couplings contains necessarily an additional term: an harmonic oscillator potential in the free field action which solves the UV/IR‐mixing problem.

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