Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-30
J.Phys.A42:345403,2009
Physics
High Energy Physics
High Energy Physics - Theory
23 pages
Scientific paper
10.1088/1751-8113/42/34/345403
We try to use scale-invariance and the large-N limit to find a non-trivial 4d O(N) scalar field model with controlled UV behavior and naturally light scalar excitations. The principle is to fix interactions by requiring the effective action for space-time dependent background fields to be finite and scale-invariant when regulators are removed. We find a line of non-trivial UV fixed-points in the large-N limit, parameterized by a dimensionless coupling. They reduce to classical la phi^4 theory when hbar -> 0. For hbar non-zero, neither action nor measure is scale-invariant, but the effective action is. Scale invariance makes it natural to set a mass deformation to zero. The model has phases where O(N) invariance is unbroken or spontaneously broken. Masses of the lightest excitations above the unbroken vacuum are found. We derive a non-linear equation for oscillations about the broken vacuum. The interaction potential is shown to have a locality property at large-N. In 3d, our construction reduces to the line of large-N fixed-points in |phi|^6 theory.
No associations
LandOfFree
Possible large-N fixed-points and naturalness for O(N) scalar fields 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 Possible large-N fixed-points and naturalness for O(N) scalar fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Possible large-N fixed-points and naturalness for O(N) scalar fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-443240