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

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dc.creatorBeckwith, A. W.
dc.date2004-12-02
dc.date2004-12-29
dc.date.accessioned2026-07-07T04:31:41Z
dc.date.available2026-07-07T04:31:41Z
dc.descriptionWe 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.
dc.description13 pages, 1 figure. Meant as a companion piece to math-ph/0411031. Replacement shortens up discussion and focuses it professionally speaking
dc.identifierhttps://arxiv.org/abs/math-ph/0412006
dc.identifierhttp://arxiv.org/abs/math-ph/0412006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57908
dc.subjectMathematical Physics
dc.subject46N50
dc.titleMaking a wavefunctional representation of physical states congruent with the false vacuum hypothesis of Sidney Coleman
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