Matches in SemOpenAlex for { <https://semopenalex.org/work/W2095157419> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W2095157419 endingPage "4455" @default.
- W2095157419 startingPage "4442" @default.
- W2095157419 abstract "On globally hyperbolic spacetimes, each foliation by spacelike hypersurfaces corresponds to a Hamiltonian description of field theory, and unitarity follows formally from the Hermiticity of the Hamiltonian. For a renormalizable theory, unitarity at each order in perturbation theory follows from the corresponding Hermiticity of each term in the time-ordered product of interaction Hamiltonians. For more general spacetimes, one can still use the path integral to obtain a generalized Lehmann-Symanzik-Zimmermann reduction formula for $S$-matrix elements and the corresponding perturbative expansion. Unitarity imposes an infinite set of identities on the scattering amplitudes, which are the generalizations of the flat-spacetime Cutkosky rules. We find these explicitly to $O({ensuremath{lambda}}^{3})$ in a $ensuremath{lambda}{ensuremath{phi}}^{4}$ theory, and show how to find the relations to any order. For globally hyperbolic spacetimes the unitarity identities are satisfied [at least to $O({ensuremath{lambda}}^{3})$] because of a single property of the configuration-space propagator that reflects the causal structure of the spacetime." @default.
- W2095157419 created "2016-06-24" @default.
- W2095157419 creator A5035453690 @default.
- W2095157419 creator A5052568385 @default.
- W2095157419 creator A5062275782 @default.
- W2095157419 date "1992-11-15" @default.
- W2095157419 modified "2023-09-27" @default.
- W2095157419 title "Unitarity of interacting fields in curved spacetime" @default.
- W2095157419 cites W1543330272 @default.
- W2095157419 cites W1965081808 @default.
- W2095157419 cites W1968468486 @default.
- W2095157419 cites W1978002333 @default.
- W2095157419 cites W1978383278 @default.
- W2095157419 cites W1989344579 @default.
- W2095157419 cites W1992204683 @default.
- W2095157419 cites W2002151907 @default.
- W2095157419 cites W2006735314 @default.
- W2095157419 cites W2012102669 @default.
- W2095157419 cites W2024082359 @default.
- W2095157419 cites W2024612631 @default.
- W2095157419 cites W2042763091 @default.
- W2095157419 cites W2044412225 @default.
- W2095157419 cites W2048243905 @default.
- W2095157419 cites W2048459421 @default.
- W2095157419 cites W2056443041 @default.
- W2095157419 cites W2071624084 @default.
- W2095157419 cites W2076144153 @default.
- W2095157419 cites W2080598130 @default.
- W2095157419 cites W2083768928 @default.
- W2095157419 cites W2083908993 @default.
- W2095157419 cites W2087252536 @default.
- W2095157419 cites W2112286943 @default.
- W2095157419 cites W2153122569 @default.
- W2095157419 cites W2240818851 @default.
- W2095157419 cites W3022776308 @default.
- W2095157419 doi "https://doi.org/10.1103/physrevd.46.4442" @default.
- W2095157419 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/10014822" @default.
- W2095157419 hasPublicationYear "1992" @default.
- W2095157419 type Work @default.
- W2095157419 sameAs 2095157419 @default.
- W2095157419 citedByCount "19" @default.
- W2095157419 countsByYear W20951574192019 @default.
- W2095157419 countsByYear W20951574192021 @default.
- W2095157419 crossrefType "journal-article" @default.
- W2095157419 hasAuthorship W2095157419A5035453690 @default.
- W2095157419 hasAuthorship W2095157419A5052568385 @default.
- W2095157419 hasAuthorship W2095157419A5062275782 @default.
- W2095157419 hasConcept C104416048 @default.
- W2095157419 hasConcept C115047598 @default.
- W2095157419 hasConcept C121332964 @default.
- W2095157419 hasConcept C126255220 @default.
- W2095157419 hasConcept C130187892 @default.
- W2095157419 hasConcept C130295795 @default.
- W2095157419 hasConcept C130787639 @default.
- W2095157419 hasConcept C161094330 @default.
- W2095157419 hasConcept C174256460 @default.
- W2095157419 hasConcept C191486275 @default.
- W2095157419 hasConcept C2778113609 @default.
- W2095157419 hasConcept C33923547 @default.
- W2095157419 hasConcept C37914503 @default.
- W2095157419 hasConcept C62520636 @default.
- W2095157419 hasConcept C74650414 @default.
- W2095157419 hasConceptScore W2095157419C104416048 @default.
- W2095157419 hasConceptScore W2095157419C115047598 @default.
- W2095157419 hasConceptScore W2095157419C121332964 @default.
- W2095157419 hasConceptScore W2095157419C126255220 @default.
- W2095157419 hasConceptScore W2095157419C130187892 @default.
- W2095157419 hasConceptScore W2095157419C130295795 @default.
- W2095157419 hasConceptScore W2095157419C130787639 @default.
- W2095157419 hasConceptScore W2095157419C161094330 @default.
- W2095157419 hasConceptScore W2095157419C174256460 @default.
- W2095157419 hasConceptScore W2095157419C191486275 @default.
- W2095157419 hasConceptScore W2095157419C2778113609 @default.
- W2095157419 hasConceptScore W2095157419C33923547 @default.
- W2095157419 hasConceptScore W2095157419C37914503 @default.
- W2095157419 hasConceptScore W2095157419C62520636 @default.
- W2095157419 hasConceptScore W2095157419C74650414 @default.
- W2095157419 hasIssue "10" @default.
- W2095157419 hasLocation W20951574191 @default.
- W2095157419 hasLocation W20951574192 @default.
- W2095157419 hasOpenAccess W2095157419 @default.
- W2095157419 hasPrimaryLocation W20951574191 @default.
- W2095157419 hasRelatedWork W1660685100 @default.
- W2095157419 hasRelatedWork W1679479429 @default.
- W2095157419 hasRelatedWork W1979735878 @default.
- W2095157419 hasRelatedWork W1987762391 @default.
- W2095157419 hasRelatedWork W1993006755 @default.
- W2095157419 hasRelatedWork W2087252536 @default.
- W2095157419 hasRelatedWork W2095157419 @default.
- W2095157419 hasRelatedWork W2113469367 @default.
- W2095157419 hasRelatedWork W285285450 @default.
- W2095157419 hasRelatedWork W3104782947 @default.
- W2095157419 hasVolume "46" @default.
- W2095157419 isParatext "false" @default.
- W2095157419 isRetracted "false" @default.
- W2095157419 magId "2095157419" @default.
- W2095157419 workType "article" @default.