Curvature Corrections to Dynamics of Domain Walls

Details Curvature Corrections to Dynamics of Domain Walls Curvature Corrections to Dynamics of Domain Walls

1994-10-13

arxiv.org/abs/hep-th/9410095v1

Phys.Rev.D51:5839-5846,1995

Physics

High Energy Physics

High Energy Physics - Theory

19 pages plain TeX, 2 figures included

Scientific paper

10.1103/PhysRevD.51.5839

The most usual procedure for deriving curvature corrections to effective actions for topological defects is subjected to a critical reappraisal. A logically unjustified step (leading to overdetermination) is identified and rectified, taking the standard domain wall case as an illustrative example. Using the appropriately corrected procedure, we obtain a new exact (analytic) expression for the corresponding effective action contribution of quadratic order in the wall width, in terms of the intrinsic Ricci scalar $R$ and the extrinsic curvature scalar $K$. The result is proportional to $cK^2-R$ with the coefficient given by $c\simeq 2$. The resulting form of the ensuing dynamical equations is obtained in terms of the second fundamental form and the Dalembertian of its trace, K. It is argued that this does not invalidate the physical conclusions obtained from the "zero rigidity" ansatz $c=0$ used in previous work.

Affiliated with

Also associated with

No associations

Rating

Curvature Corrections to Dynamics of Domain Walls 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 Curvature Corrections to Dynamics of Domain Walls, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature Corrections to Dynamics of Domain Walls will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-324444