Matches in SemOpenAlex for { <https://semopenalex.org/work/W2888276047> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2888276047 abstract "We consider a spin-$frac12$ electron in a translation-invariant model of non-relativistic Quantum Electrodynamics (QED). Let $H(vp,sig)$ denote the fiber Hamiltonian corresponding to the conserved total momentum $vpinR^3$ of the Pauli electron and the photon field, regularized by a fixed ultraviolet cutoff in the interaction term, and an infrared regularization parametrized by $0 0$, and all values of the finestructure constant $gs<gs_0$, with $gs_0ll1$ sufficiently small and {em independent} of $sig$, we prove the existence of a ground state eigenvalue of multiplicity two at the bottom of the essential spectrum. Moreover, we prove that the renormalized electron mass satisfies $1<m_{ren}(vp,sig)<1+calpha$, {em uniformly} in $siggeq0$, in units where the bare mass has the value 1, and we prove the existence of the renormalized mass in the limit $sigsearrow0$. Our analysis uses the isospectral renormalization group method of Bach-Frohlich-Sigal introduced in cite{bfs1,bfs2} and further developed in cite{bcfs1,bcfs2}. The limit $sigsearrow0$ determines a scaling-critical renormalization group problem of endpoint type, in which the interaction is strictly marginal (of scale-independent size). The main achievement of this paper is the development of a method that provides rigorous control of the renormalization of a {em strictly marginal} quantum field theory characterized by a {em non-trivial scaling limit}." @default.
- W2888276047 created "2018-08-31" @default.
- W2888276047 creator A5000267802 @default.
- W2888276047 date "2006-01-06" @default.
- W2888276047 modified "2023-09-24" @default.
- W2888276047 title "Infrared renormalization in non-relativistic QED for the endpoint case" @default.
- W2888276047 cites W141449111 @default.
- W2888276047 cites W1542238530 @default.
- W2888276047 cites W1567658432 @default.
- W2888276047 cites W177944120 @default.
- W2888276047 cites W1972114209 @default.
- W2888276047 cites W1974920210 @default.
- W2888276047 cites W2038284481 @default.
- W2888276047 cites W2076259017 @default.
- W2888276047 cites W2126700537 @default.
- W2888276047 cites W2135340890 @default.
- W2888276047 cites W2334700958 @default.
- W2888276047 cites W2963774082 @default.
- W2888276047 cites W3083662745 @default.
- W2888276047 hasPublicationYear "2006" @default.
- W2888276047 type Work @default.
- W2888276047 sameAs 2888276047 @default.
- W2888276047 citedByCount "3" @default.
- W2888276047 crossrefType "posted-content" @default.
- W2888276047 hasAuthorship W2888276047A5000267802 @default.
- W2888276047 hasConcept C115047598 @default.
- W2888276047 hasConcept C121332964 @default.
- W2888276047 hasConcept C126255220 @default.
- W2888276047 hasConcept C130787639 @default.
- W2888276047 hasConcept C134306372 @default.
- W2888276047 hasConcept C166124518 @default.
- W2888276047 hasConcept C3079626 @default.
- W2888276047 hasConcept C33923547 @default.
- W2888276047 hasConcept C37914503 @default.
- W2888276047 hasConcept C61445026 @default.
- W2888276047 hasConcept C62520636 @default.
- W2888276047 hasConcept C68532491 @default.
- W2888276047 hasConceptScore W2888276047C115047598 @default.
- W2888276047 hasConceptScore W2888276047C121332964 @default.
- W2888276047 hasConceptScore W2888276047C126255220 @default.
- W2888276047 hasConceptScore W2888276047C130787639 @default.
- W2888276047 hasConceptScore W2888276047C134306372 @default.
- W2888276047 hasConceptScore W2888276047C166124518 @default.
- W2888276047 hasConceptScore W2888276047C3079626 @default.
- W2888276047 hasConceptScore W2888276047C33923547 @default.
- W2888276047 hasConceptScore W2888276047C37914503 @default.
- W2888276047 hasConceptScore W2888276047C61445026 @default.
- W2888276047 hasConceptScore W2888276047C62520636 @default.
- W2888276047 hasConceptScore W2888276047C68532491 @default.
- W2888276047 hasLocation W28882760471 @default.
- W2888276047 hasOpenAccess W2888276047 @default.
- W2888276047 hasPrimaryLocation W28882760471 @default.
- W2888276047 hasRelatedWork W1629651164 @default.
- W2888276047 hasRelatedWork W1661448418 @default.
- W2888276047 hasRelatedWork W2001642074 @default.
- W2888276047 hasRelatedWork W2027873204 @default.
- W2888276047 hasRelatedWork W2034587748 @default.
- W2888276047 hasRelatedWork W2049575458 @default.
- W2888276047 hasRelatedWork W2052706057 @default.
- W2888276047 hasRelatedWork W2086776715 @default.
- W2888276047 hasRelatedWork W2135340890 @default.
- W2888276047 hasRelatedWork W2187039276 @default.
- W2888276047 hasRelatedWork W2550820619 @default.
- W2888276047 hasRelatedWork W2898798765 @default.
- W2888276047 hasRelatedWork W2932507589 @default.
- W2888276047 hasRelatedWork W2949666684 @default.
- W2888276047 hasRelatedWork W2953038606 @default.
- W2888276047 hasRelatedWork W2962915825 @default.
- W2888276047 hasRelatedWork W3026440543 @default.
- W2888276047 hasRelatedWork W3137991257 @default.
- W2888276047 hasRelatedWork W3180149035 @default.
- W2888276047 isParatext "false" @default.
- W2888276047 isRetracted "false" @default.
- W2888276047 magId "2888276047" @default.
- W2888276047 workType "article" @default.