FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2011198254> ?p ?o ?g. }

• W2011198254 endingPage "2647" @default.
• W2011198254 startingPage "2555" @default.
• W2011198254 abstract "We consider a spin-12 electron in the framework of non-relativistic Quantum Electrodynamics (QED). Let H(p→,σ) denote the fiber Hamiltonian corresponding to the conserved total momentum p→∈R3 of the electron and the photon field, regularized by a fixed ultraviolet cutoff in the interaction term, and an infrared regularization parametrized by 0<σ≪1. Ultimately, our goal is to remove the latter by taking σ↘0. We prove that there exists a constant 0<α0≪1 independent of σ>0 such that for all |p→|<13 and all values of the finestructure constant 0<α<α0, there exists a ground state eigenvalue of multiplicity two at the bottom of the essential spectrum. Moreover, we prove that the renormalized electron mass satisfies 1<mren(p→,σ)<1+cα, uniformly in σ⩾0, in units where the bare mass has the value 1, and we prove the existence of the renormalized mass in the limit σ↘0. Our analysis uses the isospectral renormalization group method of Bach, Fröhlich, Sigal introduced in [V. Bach, J. Fröhlich, I.M. Sigal, Quantum electrodynamics of confined non-relativistic particles, Adv. Math. 137 (2) (1998) 299–395; V. Bach, J. Fröhlich, I.M. Sigal, Renormalization group analysis of spectral problems in quantum field theory, Adv. Math. 137 (1998) 205–298] and further developed in [V. Bach, T. Chen, J. Fröhlich, I.M. Sigal, Smooth Feshbach map and operator-theoretic renormalization group methods, J. Funct. Anal. 203 (1) (2003) 44–92; V. Bach, T. Chen, J. Fröhlich, I.M. Sigal, The renormalized electron mass in non-relativistic QED, J. Funct. Anal. 243 (2) (2007) 426–535]. The limit σ↘0 determines a scaling-critical (or endpoint type) renormalization group problem, in which the interaction is strictly marginal (of scale-independent size). A main result of this paper is the development of a method that provides rigorous control of the renormalization of a strictly marginal quantum field theory characterized by a non-trivial scaling limit. The key ingredients entering this analysis include a hierarchy of exact algebraic cancelation identities exploiting the spatial and gauge symmetries of the model, and a combination of the isospectral renormalization group method with the strong induction principle." @default.
• W2011198254 created "2016-06-24" @default.
• W2011198254 creator A5000267802 @default.
• W2011198254 date "2008-05-01" @default.
• W2011198254 modified "2023-10-13" @default.
• W2011198254 title "Infrared renormalization in non-relativistic QED and scaling criticality" @default.
• W2011198254 cites W141449111 @default.
• W2011198254 cites W1888063562 @default.
• W2011198254 cites W1970300969 @default.
• W2011198254 cites W1972114209 @default.
• W2011198254 cites W1974920210 @default.
• W2011198254 cites W2002627415 @default.
• W2011198254 cites W2027873204 @default.
• W2011198254 cites W2037555479 @default.
• W2011198254 cites W2037748774 @default.
• W2011198254 cites W2080359750 @default.
• W2011198254 cites W2135340890 @default.
• W2011198254 cites W2334700958 @default.
• W2011198254 cites W2963774082 @default.
• W2011198254 cites W3100251139 @default.
• W2011198254 cites W3106182504 @default.
• W2011198254 cites W3106221333 @default.
• W2011198254 cites W4233468115 @default.
• W2011198254 doi "https://doi.org/10.1016/j.jfa.2008.01.001" @default.
• W2011198254 hasPublicationYear "2008" @default.
• W2011198254 type Work @default.
• W2011198254 sameAs 2011198254 @default.
• W2011198254 citedByCount "47" @default.
• W2011198254 countsByYear W20111982542012 @default.
• W2011198254 countsByYear W20111982542013 @default.
• W2011198254 countsByYear W20111982542014 @default.
• W2011198254 countsByYear W20111982542015 @default.
• W2011198254 countsByYear W20111982542016 @default.
• W2011198254 countsByYear W20111982542017 @default.
• W2011198254 countsByYear W20111982542018 @default.
• W2011198254 countsByYear W20111982542019 @default.
• W2011198254 countsByYear W20111982542020 @default.
• W2011198254 countsByYear W20111982542022 @default.
• W2011198254 countsByYear W20111982542023 @default.
• W2011198254 crossrefType "journal-article" @default.
• W2011198254 hasAuthorship W2011198254A5000267802 @default.
• W2011198254 hasBestOaLocation W20111982541 @default.
• W2011198254 hasConcept C115047598 @default.
• W2011198254 hasConcept C121332964 @default.
• W2011198254 hasConcept C126255220 @default.
• W2011198254 hasConcept C130787639 @default.
• W2011198254 hasConcept C166124518 @default.
• W2011198254 hasConcept C3079626 @default.
• W2011198254 hasConcept C33923547 @default.
• W2011198254 hasConcept C37914503 @default.
• W2011198254 hasConcept C62520636 @default.
• W2011198254 hasConcept C68532491 @default.
• W2011198254 hasConceptScore W2011198254C115047598 @default.
• W2011198254 hasConceptScore W2011198254C121332964 @default.
• W2011198254 hasConceptScore W2011198254C126255220 @default.
• W2011198254 hasConceptScore W2011198254C130787639 @default.
• W2011198254 hasConceptScore W2011198254C166124518 @default.
• W2011198254 hasConceptScore W2011198254C3079626 @default.
• W2011198254 hasConceptScore W2011198254C33923547 @default.
• W2011198254 hasConceptScore W2011198254C37914503 @default.
• W2011198254 hasConceptScore W2011198254C62520636 @default.
• W2011198254 hasConceptScore W2011198254C68532491 @default.
• W2011198254 hasIssue "10" @default.
• W2011198254 hasLocation W20111982541 @default.
• W2011198254 hasLocation W20111982542 @default.
• W2011198254 hasOpenAccess W2011198254 @default.
• W2011198254 hasPrimaryLocation W20111982541 @default.
• W2011198254 hasRelatedWork W1968794112 @default.
• W2011198254 hasRelatedWork W2007735346 @default.
• W2011198254 hasRelatedWork W2024024802 @default.
• W2011198254 hasRelatedWork W2047799374 @default.
• W2011198254 hasRelatedWork W2283196823 @default.
• W2011198254 hasRelatedWork W2499184869 @default.
• W2011198254 hasRelatedWork W3100175048 @default.
• W2011198254 hasRelatedWork W3104184559 @default.
• W2011198254 hasRelatedWork W3105133445 @default.
• W2011198254 hasRelatedWork W3148660770 @default.
• W2011198254 hasVolume "254" @default.
• W2011198254 isParatext "false" @default.
• W2011198254 isRetracted "false" @default.
• W2011198254 magId "2011198254" @default.
• W2011198254 workType "article" @default.