Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-01-19
Phys.Rev.D54:6372-6380,1996
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 15 pages, 4 figures
Scientific paper
10.1103/PhysRevD.54.6372
The renormalization group (RG) is used to study the asymptotically free $\phi_6^3$-theory in curved spacetime. Several forms of the RG equations for the effective potential are formulated. By solving these equations we obtain the one-loop effective potential as well as its explicit forms in the case of strong gravitational fields and strong scalar fields. Using zeta function techniques, the one-loop and corresponding RG improved vacuum energies are found for the Kaluza-Klein backgrounds $R^4\times S^1\times S^1$ and $R^4\times S^2$. They are given in terms of exponentially convergent series, appropriate for numerical calculations. A study of these vacuum energies as a function of compactification lengths and other couplings shows that spontaneous compactification can be qualitatively different when the RG improved energy is used.
Elizalde Emilio
Kantowski Ronald
Odintsov Sergei D.
No associations
LandOfFree
The renormalization group and spontaneous compactification of a higher-dimensional scalar field theory in curved spacetime 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 The renormalization group and spontaneous compactification of a higher-dimensional scalar field theory in curved spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The renormalization group and spontaneous compactification of a higher-dimensional scalar field theory in curved spacetime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-428845