dc.contributor.author Bru, J.-B. dc.contributor.author de Siqueira Pedra, W. dc.date info:eu-repo/date/embargoEnd/2018-08-02 en_US dc.date.accessioned 2017-08-07T19:38:56Z dc.date.available 2017-08-07T19:38:56Z dc.date.issued 2017-08-02 dc.identifier.issn 0218-2025 dc.identifier.issn 1793-6314 dc.identifier.uri http://hdl.handle.net/20.500.11824/719 dc.description.abstract Efficiently 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.sponsorship FAPESP, the CNPq, the Basque Government through the Grant IT641-13. en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Determinant bounds en_US dc.subject Hölder inequalities for non-commutative Lp -spaces en_US dc.subject interacting fermions en_US dc.subject constructive quantum field theory en_US dc.title Universal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theory en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.1142/S0218202517500361 dc.relation.publisherversion http://dx.doi.org/10.1142/S0218202517500361 en_US dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID ES/1PE/MTM2014-53850-P en_US dc.relation.projectID EUS/BERC/BERC.2014-2017 en_US dc.rights.accessRights info:eu-repo/semantics/embargoedAccess en_US dc.type.hasVersion info:eu-repo/semantics/acceptedVersion en_US dc.journal.title Mathematical Models and Methods in Applied Sciences (M3AS) en_US
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