The renormalization group and spontaneous compactification of a higher-dimensional scalar field theory in curved spacetime

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

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.

Rate now

     

Profile ID: LFWR-SCP-O-428845

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.