Determinism and a supersymmetric classical model of quantum fields
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876430701649199104 |
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| author | Hans-Thomas Elze |
| author_facet | Hans-Thomas Elze |
| contents | Determinism and a supersymmetric classical model of quantum fields Hans-Thomas Elze Física, Astronomía y Matemáticas A quantum field theory is described which is a supersymmetric classical model. Supersymmetry generators of the system are used to split its Liouville operator into two contributions, with positive and negative spectrum, respectively. The unstable negative part is eliminated by a positivity constraint on physical states, which is invariant under the classical Hamiltonian flow. In this way, the classical Liouville equation becomes a functional Schrödinger equation of a genuine quantum field theory. Thus, t Hoofts proposal to reconstruct quantum theory as emergent from an underlying deterministic system, is realized here for a field theory. Quantization is intimately related to the constraint, which selects the part of Hilbert space where the Hamilton operator is positive. This is seen as dynamical symmetry breaking in a suitably extended model, depending on a mass scalewhich discriminates classical dynamics beneath from emergent quantum mechanical behaviour. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435220 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35 |
| format | Artículo científico |
| id | redalyc_46435220 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Determinism and a supersymmetric classical model of quantum fields Hans-Thomas Elze Física, Astronomía y Matemáticas Determinism and a supersymmetric classical model of quantum fields Hans-Thomas Elze Física, Astronomía y Matemáticas A quantum field theory is described which is a supersymmetric classical model. Supersymmetry generators of the system are used to split its Liouville operator into two contributions, with positive and negative spectrum, respectively. The unstable negative part is eliminated by a positivity constraint on physical states, which is invariant under the classical Hamiltonian flow. In this way, the classical Liouville equation becomes a functional Schrödinger equation of a genuine quantum field theory. Thus, t Hoofts proposal to reconstruct quantum theory as emergent from an underlying deterministic system, is realized here for a field theory. Quantization is intimately related to the constraint, which selects the part of Hilbert space where the Hamilton operator is positive. This is seen as dynamical symmetry breaking in a suitably extended model, depending on a mass scalewhich discriminates classical dynamics beneath from emergent quantum mechanical behaviour. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435220 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2A Vol.35 |
| title | Determinism and a supersymmetric classical model of quantum fields |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435220 |