American Journal of Applied Sciences

Phase Transition in Φ6 Potential

Hatem Widyan

DOI : 10.3844/ajassp.2006.1939.1947

American Journal of Applied Sciences

Volume 3, Issue 7

Pages 1939-1947

Abstract

Scalar field theory with an asymmetric potential was studied at zero temperature and high-temperature for Φ6 potential. The equations of motion are solved numerically to obtain O(4) spherical symmetric and O(3) cylindrical symmetric bounce solutions. These solutions control the rates for tunneling from the false vacuum to the true vacuum by bubble formation. The range of validity of the thin-wall approximation (TWA) was investigated. An analytical solution for the bounce is presented, which reproduces the action in the thin-wall as well as the thick-wall limits.

Copyright

© 2006 Hatem Widyan. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.