Research Article Open Access

Phase Transition in Φ6 Potential

Hatem Widyan1
  • 1 ,
American Journal of Applied Sciences
Volume 3 No. 7, 2006, 1939-1947

DOI: https://doi.org/10.3844/ajassp.2006.1939.1947

Submitted On: 1 September 2005 Published On: 31 July 2006

How to Cite: Widyan, H. (2006). Phase Transition in Φ6 Potential. American Journal of Applied Sciences, 3(7), 1939-1947. https://doi.org/10.3844/ajassp.2006.1939.1947

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.

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Keywords

  • Phase transition
  • tunneling
  • scalar field theory