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

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

2004-12-02

arxiv.org/abs/math-ph/0412006v2

Physics

Mathematical Physics

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

Scientific paper

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.

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