Euclidean Fermi fields with a hermitean Feynman-Kac-Nelson formula. I
dc.contributor.author | Williams, David N. | en_US |
dc.date.accessioned | 2006-09-11T17:52:13Z | |
dc.date.available | 2006-09-11T17:52:13Z | |
dc.date.issued | 1974-03 | en_US |
dc.identifier.citation | Williams, David N.; (1974). "Euclidean Fermi fields with a hermitean Feynman-Kac-Nelson formula. I." Communications in Mathematical Physics 38(1): 65-80. <http://hdl.handle.net/2027.42/46510> | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.issn | 0010-3616 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46510 | |
dc.description.abstract | We construct free, Euclidean, spin one-half, quantum fields with the following properties: (i) CAR; (ii) Symanzik positivity; (iii) Osterwalder-Schrader positivity; (iv) no doubling of particle or spin states. They admit the recovery of the relativistic Dirac field by the Osterwalder-Schrader technique. We then formally parametrize interacting theories by a natural class of Hermitean, Euclidean actions, and obtain a simple, Hermitean, Feynman-Kac-Nelson formula. The interacting theory formally obeys all the properties (i)–(iv), and admits the reconstruction of a physical Hilbert space, including a Hermitean, contraction semigroup for the Wick rotated time evolution. We propose a system of axioms for the interacting theory. | en_US |
dc.format.extent | 790340 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Quantum Computing, Information and Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | en_US |
dc.subject.other | Relativity and Cosmology | en_US |
dc.title | Euclidean Fermi fields with a hermitean Feynman-Kac-Nelson formula. I | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Institut für Theoretische Physik, Freie Universität Berlin, Berlin; The Harrison M. Randall Laboratory of Physics, The University of Michigan, 48104, Ann Arbor, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46510/1/220_2005_Article_BF01651549.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01651549 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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