The β-function in duality-covariant noncommutative φ^4-theory

Details The β-function in duality-covariant noncommutative φ^4-theory The β-function in duality-covariant noncommutative φ^4-theory

2004-02-12

arxiv.org/abs/hep-th/0402093v1

Eur.Phys.J. C35 (2004) 277-282

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1140/epjc/s2004-01853-x

We compute the one-loop \beta-functions describing the renormalisation of the coupling constant \lambda and the frequency parameter \Omega for the real four-dimensional duality-covariant noncommutative \phi^4-model, which is renormalisable to all orders. The contribution from the one-loop four-point function is reduced by the one-loop wavefunction renormalisation, but the \beta_\lambda-function remains non-negative. Both \beta_\lambda and \beta_\Omega vanish at the one-loop level for the duality-invariant model characterised by \Omega=1. Moreover, \beta_\Omega also vanishes in the limit \Omega \to 0, which defines the standard noncommutative \phi^4-quantum field theory. Thus, the limit \Omega \to 0 exists at least at the one-loop level.

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