Matches in SemOpenAlex for { <https://semopenalex.org/work/W3105071345> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W3105071345 endingPage "1271" @default.
- W3105071345 startingPage "1251" @default.
- W3105071345 abstract "We extend ideas developed for the loop representation of quantum gravity to diffeomorphism-invariant gauge theories coupled to fermions. Let P→Σ be a principal G-bundle over space and let F be a vector bundle associated to P whose fiber is a sum of continuous unitary irreducible representations of the compact connected gauge group G, each representation appearing together with its dual. We consider theories whose classical configuration space is A×F, where A is the space of connections on P and F is the space of sections of F, regarded as a collection of Grassmann-valued fermionic fields. We construct the “quantum configuration space” Ā×F̄ as a completion of A×F. Using this, we construct a Hilbert space L2(Ā×F̄) for the quantum theory on which all automorphisms of P act as unitary operators, and determine an explicit “spin network basis” of the subspace L2((Ā×F̄)/Ḡ) consisting of gauge-invariant states. We represent observables constructed from holonomies of the connection along paths together with fermionic fields and their conjugate momenta as operators on L2((Ā×F̄)/Ḡ). We also construct a Hilbert space Hdiff of diffeomorphism-invariant states using the group averaging procedure of Ashtekar, Lewandowski, Marolf, Mourão and Thiemann." @default.
- W3105071345 created "2020-11-23" @default.
- W3105071345 creator A5056752880 @default.
- W3105071345 creator A5064326167 @default.
- W3105071345 date "1998-03-01" @default.
- W3105071345 modified "2023-10-02" @default.
- W3105071345 title "Quantization of diffeomorphism-invariant theories with fermions" @default.
- W3105071345 cites W1811947045 @default.
- W3105071345 cites W1975844479 @default.
- W3105071345 cites W1997316846 @default.
- W3105071345 cites W2005432490 @default.
- W3105071345 cites W2019617007 @default.
- W3105071345 cites W2037266697 @default.
- W3105071345 cites W2062305579 @default.
- W3105071345 cites W2098989214 @default.
- W3105071345 cites W2107246682 @default.
- W3105071345 cites W2124214065 @default.
- W3105071345 cites W2138547238 @default.
- W3105071345 cites W2150317177 @default.
- W3105071345 cites W2173736859 @default.
- W3105071345 cites W3103218906 @default.
- W3105071345 cites W3105938092 @default.
- W3105071345 cites W3106243671 @default.
- W3105071345 doi "https://doi.org/10.1063/1.532400" @default.
- W3105071345 hasPublicationYear "1998" @default.
- W3105071345 type Work @default.
- W3105071345 sameAs 3105071345 @default.
- W3105071345 citedByCount "36" @default.
- W3105071345 countsByYear W31050713452012 @default.
- W3105071345 countsByYear W31050713452013 @default.
- W3105071345 countsByYear W31050713452014 @default.
- W3105071345 countsByYear W31050713452015 @default.
- W3105071345 countsByYear W31050713452016 @default.
- W3105071345 countsByYear W31050713452021 @default.
- W3105071345 countsByYear W31050713452022 @default.
- W3105071345 countsByYear W31050713452023 @default.
- W3105071345 crossrefType "journal-article" @default.
- W3105071345 hasAuthorship W3105071345A5056752880 @default.
- W3105071345 hasAuthorship W3105071345A5064326167 @default.
- W3105071345 hasBestOaLocation W31050713451 @default.
- W3105071345 hasConcept C121332964 @default.
- W3105071345 hasConcept C181830111 @default.
- W3105071345 hasConcept C187915474 @default.
- W3105071345 hasConcept C190470478 @default.
- W3105071345 hasConcept C202444582 @default.
- W3105071345 hasConcept C2776122010 @default.
- W3105071345 hasConcept C2779430453 @default.
- W3105071345 hasConcept C33923547 @default.
- W3105071345 hasConcept C37914503 @default.
- W3105071345 hasConcept C47556283 @default.
- W3105071345 hasConcept C62799726 @default.
- W3105071345 hasConcept C95857938 @default.
- W3105071345 hasConceptScore W3105071345C121332964 @default.
- W3105071345 hasConceptScore W3105071345C181830111 @default.
- W3105071345 hasConceptScore W3105071345C187915474 @default.
- W3105071345 hasConceptScore W3105071345C190470478 @default.
- W3105071345 hasConceptScore W3105071345C202444582 @default.
- W3105071345 hasConceptScore W3105071345C2776122010 @default.
- W3105071345 hasConceptScore W3105071345C2779430453 @default.
- W3105071345 hasConceptScore W3105071345C33923547 @default.
- W3105071345 hasConceptScore W3105071345C37914503 @default.
- W3105071345 hasConceptScore W3105071345C47556283 @default.
- W3105071345 hasConceptScore W3105071345C62799726 @default.
- W3105071345 hasConceptScore W3105071345C95857938 @default.
- W3105071345 hasIssue "3" @default.
- W3105071345 hasLocation W31050713451 @default.
- W3105071345 hasLocation W31050713452 @default.
- W3105071345 hasLocation W31050713453 @default.
- W3105071345 hasOpenAccess W3105071345 @default.
- W3105071345 hasPrimaryLocation W31050713451 @default.
- W3105071345 hasRelatedWork W2000125321 @default.
- W3105071345 hasRelatedWork W2079328819 @default.
- W3105071345 hasRelatedWork W2088544526 @default.
- W3105071345 hasRelatedWork W2144232461 @default.
- W3105071345 hasRelatedWork W2159684470 @default.
- W3105071345 hasRelatedWork W2620764175 @default.
- W3105071345 hasRelatedWork W2729253781 @default.
- W3105071345 hasRelatedWork W2791983059 @default.
- W3105071345 hasRelatedWork W2951386232 @default.
- W3105071345 hasRelatedWork W2953129548 @default.
- W3105071345 hasVolume "39" @default.
- W3105071345 isParatext "false" @default.
- W3105071345 isRetracted "false" @default.
- W3105071345 magId "3105071345" @default.
- W3105071345 workType "article" @default.