Renormalisation of scalar quantum field theory on noncommutative ℝ 4 | Zendy

Grosse H. | Zendy; Wulkenhaar R. | Zendy

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Renormalisation of scalar quantum field theory on noncommutative ℝ 4

Author(s) -

Grosse H.,

Wulkenhaar R.

Publication year - 2005

Publication title -

fortschritte der physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.469

H-Index - 71

eISSN - 1521-3978

pISSN - 0015-8208

DOI - 10.1002/prop.200410231

Subject(s) - noncommutative geometry , noncommutative quantum field theory , commutative property , quantum field theory , harmonic oscillator , scalar field theory , scalar field , scalar (mathematics) , mixing (physics) , physics , effective action , action (physics) , mathematical physics , field (mathematics) , field theory (psychology) , quantum mechanics , quantum , theoretical physics , mathematics , quantum gravity , pure mathematics , geometry

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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