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dc.contributor.authorBru, J.-B. 
dc.contributor.authorde Siqueira Pedra, W. 
dc.dateinfo:eu-repo/date/embargoEnd/2018-08-02en_US
dc.date.accessioned2017-08-07T19:38:56Z
dc.date.available2017-08-07T19:38:56Z
dc.date.issued2017-08-02
dc.identifier.issn0218-2025
dc.identifier.issn1793-6314
dc.identifier.urihttp://hdl.handle.net/20.500.11824/719
dc.description.abstractEfficiently bounding large determinants is an essential step in non-relativistic fermionic constructive quantum field theory to prove the absolute convergence of the perturbation expansion of correlation functions in terms of powers of the strength $u\in \mathbb{R}$ of the interparticle interaction. We provide, for large determinants of fermionic convariances, sharp bounds which hold for all (bounded and unbounded, the latter not being limited to semibounded) one-particle Hamiltonians. We find the smallest universal determinant bound to be exactly 1. In particular, the convergence of perturbation series at $u=0$ of any fermionic quantum field theory is ensured if the matrix entries, with respect to some fixed orthonormal basis, of the covariance and the interparticle interaction decay sufficiently fast. Our proofs use H\"{o}lder inequalities for general non-commutative Lp-spaces derived by Araki and Masuda.en_US
dc.description.sponsorshipFAPESP, the CNPq, the Basque Government through the Grant IT641-13.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectDeterminant boundsen_US
dc.subjectHölder inequalities for non-commutative Lp -spacesen_US
dc.subjectinteracting fermionsen_US
dc.subjectconstructive quantum field theoryen_US
dc.titleUniversal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theoryen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1142/S0218202517500361
dc.relation.publisherversionhttp://dx.doi.org/10.1142/S0218202517500361en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDES/1PE/MTM2014-53850-Pen_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleMathematical Models and Methods in Applied Sciences (M3AS)en_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España