Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-04-09
Int.J.Mod.Phys. A19 (2004) 3541-3556
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTex
Scientific paper
10.1142/S0217751X04018270
We apply the Cornwall-Jackiw-Tomboulis (CJT) formalism to the scalar $\lambda \phi^{4}$ theory in canonical-noncommutative spacetime. We construct the CJT effective potential and the gap equation for general values of the noncommutative parameter $\theta_{\mu\nu}$. We observe that under the hypothesis of translational invariance, which is assumed in the effective potential construction, differently from the commutative case ($\theta_{\mu\nu}= 0$), the renormalizability of the gap equation is incompatible with the renormalizability of the effective potential. We argue that our result, is consistent with previous studies suggesting that a uniform ordered phase would be inconsistent with the infrared structure of canonical noncommutative theories.
No associations
LandOfFree
Cornwall-Jackiw-Tomboulis effective potential for canonical noncommutative field theories 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 Cornwall-Jackiw-Tomboulis effective potential for canonical noncommutative field theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cornwall-Jackiw-Tomboulis effective potential for canonical noncommutative field theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-274201