Making a wavefunctional representation of physical states congruent with the false vacuum hypothesis of Sidney Coleman

2004/12/02 by Andrew Beckwith, A. W. Beckwith, Beckwith, A. W.
Mathematics · Physics and Astronomy · #46N50 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #math-ph #math.MP #msc:46N50

paper · pdf · doi:10.48550/arxiv.math-ph/0412006

13 pages, 1 figure. Meant as a companion piece to math-ph/0411031. Replacement shortens up discussion and focuses it professionally speaking

openalex publication_date 2004/12/02 · arxiv created 2004/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine quantum decay of the false vacuum in the driven sine-Gordon system and show how both together permit construction of a Gaussian wave functional. This is due to changing a least action integral to be similar with respect to the WKB approximation. In addition we find that the soliton - anti soliton (S-S') separation distance obtained from the Bogomol'nyi inequality permits after rescaling a dominant quadratic field contribution to the least action integrand. This is from an initial scalar potential characterized by a tilted double well potential construction.

Related

• Tunneling Hamiltonian representation of false vacuum decay I. Comparison with the Bogomil'nyi inequality
• The tunneling hamiltonian representation of false vaccuum decay: II. Application to soliton - anti soliton pair creation
• The tunneling hamiltonian representation of false vacuum decay V. Application to cosmological constant question
• Fate of false vacuum in non-perturbative regimes
• Constructing Quantum Soliton States Despite Zero Modes