One-loop $β$ functions of a translation-invariant renormalizable noncommutative scalar model

Details One-loop $β$ functions of a translation-invariant renormalizable noncommutative scalar model One-loop $β$ functions of a translation-invariant renormalizable noncommutative scalar model

2008-06-24

arxiv.org/abs/0806.3886v2

Lett.Math.Phys.86:19-32,2008

Physics

Mathematical Physics

13 pages, 3 figures

Scientific paper

10.1007/s11005-008-0270-7

Recently, a new type of renormalizable $\phi^{\star 4}_{4}$ scalar model on the Moyal space was proved to be perturbatively renormalizable. It is translation-invariant and introduces in the action a $a/(\theta^2p^2)$ term. We calculate here the $\beta$ and $\gamma$ functions at one-loop level for this model. The coupling constant $\beta_\lambda$ function is proved to have the same behaviour as the one of the $\phi^4$ model on the commutative $\mathbb{R}^4$. The $\beta_a$ function of the new parameter $a$ is also calculated. Some interpretation of these results are done.

Affiliated with

Also associated with

No associations

Rating

One-loop $β$ functions of a translation-invariant renormalizable noncommutative scalar model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with One-loop $β$ functions of a translation-invariant renormalizable noncommutative scalar model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-loop $β$ functions of a translation-invariant renormalizable noncommutative scalar model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-97774