Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory
dc.contributor.author | Imbrie, John | en_US |
dc.contributor.author | Jaffe, Arthur | en_US |
dc.contributor.author | Bałaban, Tadeusz | en_US |
dc.date.accessioned | 2006-09-11T17:53:36Z | |
dc.date.available | 2006-09-11T17:53:36Z | |
dc.date.issued | 1985-03 | en_US |
dc.identifier.citation | Bałaban, Tadeusz; Imbrie, John; Jaffe, Arthur; (1985). "Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory." Communications in Mathematical Physics 97 (1-2): 299-329. <http://hdl.handle.net/2027.42/46529> | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.issn | 0010-3616 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46529 | |
dc.description.abstract | We study the effective actions S ( k ) obtained by k iterations of a renormalization transformation of the U(1) Higgs model in d =2 or 3 spacetime dimensions. We identify a quadratic approximation S Q ( k ) to S ( k ) which we call mean field theory, and which will serve as the starting point for a convergent expansion of the Green's functions, uniformly in the lattice spacing. Here we show how the approximations S Q ( k ) arise and how to handle gauge fixing, necessary for the analysis of the continuum limit. We also establish stability bounds on S Q ( k ) , uniformly in k . This is an essential step toward proving the existence of a gap in the mass spectrum and exponential decay of gauge invariant correlations. | en_US |
dc.format.extent | 1888902 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 | Quantum Physics | en_US |
dc.subject.other | Relativity and Cosmology | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | en_US |
dc.title | Renormalization of the Higgs model: Minimizers, propagators and the stability of mean field theory | 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 | Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA; Department of Mathematics, University of Michigan, 48109, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationother | Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA | en_US |
dc.contributor.affiliationother | Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46529/1/220_2005_Article_BF01206191.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01206191 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.