Matches in SemOpenAlex for { <https://semopenalex.org/work/W2169849658> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2169849658 abstract "We prove the existence of the path-integral measure of two-dimensional YangMills theory, as a probabilistic Radon measure on the “generalized orbit space” of gauge connections modulo gauge transformations, suitably completed following the approach of Ashtekar and Lewandowski. It has been known for some time that two-dimensional Yang-Mills theory is completely solvable, in the sense that expectation values of a natural class of observables (the Wilson loop functions) with respect to the formal path integral “measure” can be explicitly calculated, i.e. reduced to finite-dimensional integrals. This holds both for the theory on the two-plane, and on topologically nontrivial surfaces. However, a very natural question that seems not to have been addressed in generality is whether the formal path integral measure actually corresponds to some well-defined measure, in the sense of measure theory, and if so, what is the carrier space of such a measure. Actually, for the case of the two-plane a positive answer was provided in [4]; however, the case of compact Riemann surfaces presents significant new features that must be dealt with in a different way. As to the second point, it is generally known that it is not correct to assume that the carrier space of the path integral measure for a quantum field theory is the same as the space of classical smooth field configurations; instead, one must take some completion of this space, incorporating distribution-valued fields in some sense. A concrete realization of this idea for theories of connections (i.e. gauge theories and gravity) was proposed by 1991 Mathematics Subject Classification: 81T13, 28C20. The paper is in final form and no version of it will be published elsewhere." @default.
- W2169849658 created "2016-06-24" @default.
- W2169849658 creator A5057288975 @default.
- W2169849658 date "1997-01-01" @default.
- W2169849658 modified "2023-09-27" @default.
- W2169849658 title "On the existence of the functional measure for 2D Yang-Mills theory" @default.
- W2169849658 cites W2032220545 @default.
- W2169849658 cites W2077973576 @default.
- W2169849658 cites W2116787000 @default.
- W2169849658 cites W2182334017 @default.
- W2169849658 doi "https://doi.org/10.4064/-39-1-225-229" @default.
- W2169849658 hasPublicationYear "1997" @default.
- W2169849658 type Work @default.
- W2169849658 sameAs 2169849658 @default.
- W2169849658 citedByCount "0" @default.
- W2169849658 crossrefType "journal-article" @default.
- W2169849658 hasAuthorship W2169849658A5057288975 @default.
- W2169849658 hasBestOaLocation W21698496581 @default.
- W2169849658 hasConcept C105795698 @default.
- W2169849658 hasConcept C115047598 @default.
- W2169849658 hasConcept C121332964 @default.
- W2169849658 hasConcept C134306372 @default.
- W2169849658 hasConcept C138885662 @default.
- W2169849658 hasConcept C154018700 @default.
- W2169849658 hasConcept C181830111 @default.
- W2169849658 hasConcept C199360897 @default.
- W2169849658 hasConcept C202444582 @default.
- W2169849658 hasConcept C204154756 @default.
- W2169849658 hasConcept C21031990 @default.
- W2169849658 hasConcept C2777735758 @default.
- W2169849658 hasConcept C2778572836 @default.
- W2169849658 hasConcept C2780009758 @default.
- W2169849658 hasConcept C2781089630 @default.
- W2169849658 hasConcept C33923547 @default.
- W2169849658 hasConcept C37914503 @default.
- W2169849658 hasConcept C41008148 @default.
- W2169849658 hasConcept C41895202 @default.
- W2169849658 hasConcept C62520636 @default.
- W2169849658 hasConcept C77088390 @default.
- W2169849658 hasConcept C84114770 @default.
- W2169849658 hasConcept C9652623 @default.
- W2169849658 hasConceptScore W2169849658C105795698 @default.
- W2169849658 hasConceptScore W2169849658C115047598 @default.
- W2169849658 hasConceptScore W2169849658C121332964 @default.
- W2169849658 hasConceptScore W2169849658C134306372 @default.
- W2169849658 hasConceptScore W2169849658C138885662 @default.
- W2169849658 hasConceptScore W2169849658C154018700 @default.
- W2169849658 hasConceptScore W2169849658C181830111 @default.
- W2169849658 hasConceptScore W2169849658C199360897 @default.
- W2169849658 hasConceptScore W2169849658C202444582 @default.
- W2169849658 hasConceptScore W2169849658C204154756 @default.
- W2169849658 hasConceptScore W2169849658C21031990 @default.
- W2169849658 hasConceptScore W2169849658C2777735758 @default.
- W2169849658 hasConceptScore W2169849658C2778572836 @default.
- W2169849658 hasConceptScore W2169849658C2780009758 @default.
- W2169849658 hasConceptScore W2169849658C2781089630 @default.
- W2169849658 hasConceptScore W2169849658C33923547 @default.
- W2169849658 hasConceptScore W2169849658C37914503 @default.
- W2169849658 hasConceptScore W2169849658C41008148 @default.
- W2169849658 hasConceptScore W2169849658C41895202 @default.
- W2169849658 hasConceptScore W2169849658C62520636 @default.
- W2169849658 hasConceptScore W2169849658C77088390 @default.
- W2169849658 hasConceptScore W2169849658C84114770 @default.
- W2169849658 hasConceptScore W2169849658C9652623 @default.
- W2169849658 hasLocation W21698496581 @default.
- W2169849658 hasLocation W21698496582 @default.
- W2169849658 hasOpenAccess W2169849658 @default.
- W2169849658 hasPrimaryLocation W21698496581 @default.
- W2169849658 hasRelatedWork W1751206927 @default.
- W2169849658 hasRelatedWork W1802717747 @default.
- W2169849658 hasRelatedWork W1841237242 @default.
- W2169849658 hasRelatedWork W2018093106 @default.
- W2169849658 hasRelatedWork W2028298308 @default.
- W2169849658 hasRelatedWork W2037266697 @default.
- W2169849658 hasRelatedWork W2070634133 @default.
- W2169849658 hasRelatedWork W2128559058 @default.
- W2169849658 hasRelatedWork W2137476658 @default.
- W2169849658 hasRelatedWork W2155608011 @default.
- W2169849658 hasRelatedWork W2294710894 @default.
- W2169849658 hasRelatedWork W2765645342 @default.
- W2169849658 hasRelatedWork W2951993000 @default.
- W2169849658 hasRelatedWork W2952581493 @default.
- W2169849658 hasRelatedWork W3080466774 @default.
- W2169849658 hasRelatedWork W3103228961 @default.
- W2169849658 hasRelatedWork W3106243671 @default.
- W2169849658 hasRelatedWork W3106527119 @default.
- W2169849658 hasRelatedWork W342003678 @default.
- W2169849658 hasRelatedWork W610839938 @default.
- W2169849658 isParatext "false" @default.
- W2169849658 isRetracted "false" @default.
- W2169849658 magId "2169849658" @default.
- W2169849658 workType "article" @default.