The Euclidean loop expansion for massive λΦ 4 4 : Through one loop
dc.contributor.author | Williams, David N. | en_US |
dc.date.accessioned | 2006-09-11T17:52:41Z | |
dc.date.available | 2006-09-11T17:52:41Z | |
dc.date.issued | 1977-10 | en_US |
dc.identifier.citation | Williams, David N.; (1977). "The Euclidean loop expansion for massive λΦ 4 4 : Through one loop." Communications in Mathematical Physics 54(3): 193-218. <http://hdl.handle.net/2027.42/46516> | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.issn | 0010-3616 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46516 | |
dc.description.abstract | As an application of the theory of solutions of the classical, Euclidean field equation, we prove the existence of solutions to the renormalized functional field equation, for the λΦ 4 interaction in four Euclidean space dimensions, with non-negative λ and nonzero mass, through order ℏc . That is, we prove that the functional derivative of the connected generating functional is in the Schwartz space Reℒ( R 4 ), when evaluated at external sources in Reℒ, through order ℏc . We also prove the existence of all functional derivatives of the connected generating functional through the same order. All quantities of interest are analytic in the coupling constant at 0≦λ<∞, and continuous in the external source. | en_US |
dc.format.extent | 1585831 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 | Statistical Physics | en_US |
dc.subject.other | Quantum Computing, Information and Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Mathematical and Computational 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 | The Euclidean loop expansion for massive λΦ 4 4 : Through one loop | 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 | Randall Laboratory of Physics, The University of Michigan, 48109, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46516/1/220_2005_Article_BF01614084.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01614084 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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