Mathematics – Logic
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..31.2401s&link_type=abstract
Physical Review D (Particles and Fields), Volume 31, Issue 10, 15 May 1985, pp.2401-2423
Mathematics
Logic
41
Theory Of Quantized Fields
Scientific paper
Using the static Taub universe as an example, we study the effect of curvature anisotropy on symmetry breaking of a self-interacting scalar field. The one-loop effective potential of a λφ4 field with arbitrary coupling (ξ) is computed by ζ-function regularization. It is expressed as a perturbative series in a small anisotropy parameter α measuring the deformation from the spherical Einstein universe with radius of curvature a. This result is used for analyzing the symmetry behavior of such a system as a function of the geometric (a,α) and field (ξ,λ) parameters. The result is also used to address the question of whether and how curvature anisotropy can affect the inflationary scenario, old or new. We find that for a massless scalar field conformally coupled to the background with a prolate configuration (negative scalar curvature) the phase transition is of second order, in which case inflation to the extent necessary for cosmological purposes becomes highly unlikely. For the massless minimally coupled scalar field, first-order phase transitions can occur for a certain range of the radius and deformation parameter. If the curvature radius in the axisymmetric direction is held fixed, increasing deformation can restore the symmetry, whereas if the shape is held constant but the size is allowed to vary, decreasing the radius of the universe can induce symmetry breaking. For the minimally coupled field in a closed universe with high curvature a term linear in the background field in the effective potential appears. The barrier thus generated in the effective potential replaces the broad plateau of the flat-space Coleman-Weinberg potential. The meaning and implication of these results are discussed.
Hu Liang-Bin
O'Connor Daniel J.
Shen Thomas C.
No associations
LandOfFree
Symmetry behavior of the static Taub universe: Effect of curvature anisotropy 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 Symmetry behavior of the static Taub universe: Effect of curvature anisotropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry behavior of the static Taub universe: Effect of curvature anisotropy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1633276