Abstract
We study a rigid bubble, which is embedded in the continuum Euclidean space as a triangulated spherical random surface and whose action has an extrinsic curvature (or a rigidity) term in addition to the higher derivative gravity action. The crumpling phase transition is numerically investigated. It is found that the order of the phase transition is higher than or equal to 2. The Hausdorff dimension H in the smooth phase is H ~ 2, while in the crumpled phase, H remains finite in the neighborhood of the transition point and grows infinitely as the rigidity coupling goes to zero.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
