Matches in SemOpenAlex for { <https://semopenalex.org/work/W1528430112> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W1528430112 endingPage "1346" @default.
- W1528430112 startingPage "1337" @default.
- W1528430112 abstract "The Hamiltonian for a scalar field that satisfies the boundary condition −∂ n ϕ = (1/δ)ϕ must include a surface potential energy. The corresponding term in the Casimir energy $$tilde E_C$$ proves to be a leading one when the dimension of the region is l∼δ. The energy $$tilde E_C$$ does not involve arbitrariness associated with regularization and is an unambiguously determined function of the field mass m, the size l, and the penetration depth δ. The inclusion of the surface term is of importance for ensuring that the derivative −∂ $$tilde E_C$$ /∂l is equal to the ll component of the vacuum energy-momentum tensor. The Casimir energy $$tilde E_C$$ is related to its volume component E C by a Legendre transformation where the quantity conjugate to 1/δ is the product of the vacuum surface energy and δ. If δ is negative and if ħ/mc>|δ|, there exists a critical value l=l c (δ) above which (l>l c ) the vacuum is unstable; if a self-interaction of the form ϕ 4 is taken into account, this will lead to a phase transition accompanied by the formation of a condensate of the field ϕ. If δ=+0 or ∞ and if the dimensionalities are even, it is possible to construct a vacuum energy-momentum tensor (not only energy) that is finite over the entire space. Specially chosen counterterms leave unchanged the analytic dependence of the vacuum energy on the dimensionality of space and the character of the coordinate dependence of the energy density for x>ħ/mc." @default.
- W1528430112 created "2016-06-24" @default.
- W1528430112 creator A5045051633 @default.
- W1528430112 date "2001-07-01" @default.
- W1528430112 modified "2023-09-27" @default.
- W1528430112 title "Vacuum energy and Casimir force in the presence of a dimensional parameter in the boundary condition" @default.
- W1528430112 cites W1764399807 @default.
- W1528430112 cites W1944025014 @default.
- W1528430112 cites W1991223997 @default.
- W1528430112 cites W1992204683 @default.
- W1528430112 cites W2012102669 @default.
- W1528430112 cites W2013211540 @default.
- W1528430112 cites W2018794521 @default.
- W1528430112 cites W2025805071 @default.
- W1528430112 cites W2039350759 @default.
- W1528430112 cites W2058988700 @default.
- W1528430112 cites W2080831590 @default.
- W1528430112 cites W2093318113 @default.
- W1528430112 cites W2112286943 @default.
- W1528430112 cites W2119093455 @default.
- W1528430112 cites W2139101117 @default.
- W1528430112 cites W2163282614 @default.
- W1528430112 cites W3100369367 @default.
- W1528430112 cites W4251125221 @default.
- W1528430112 doi "https://doi.org/10.1134/1.1389563" @default.
- W1528430112 hasPublicationYear "2001" @default.
- W1528430112 type Work @default.
- W1528430112 sameAs 1528430112 @default.
- W1528430112 citedByCount "12" @default.
- W1528430112 countsByYear W15284301122012 @default.
- W1528430112 countsByYear W15284301122014 @default.
- W1528430112 countsByYear W15284301122017 @default.
- W1528430112 crossrefType "journal-article" @default.
- W1528430112 hasAuthorship W1528430112A5045051633 @default.
- W1528430112 hasBestOaLocation W15284301122 @default.
- W1528430112 hasConcept C106881136 @default.
- W1528430112 hasConcept C110521144 @default.
- W1528430112 hasConcept C121332964 @default.
- W1528430112 hasConcept C158129726 @default.
- W1528430112 hasConcept C191696108 @default.
- W1528430112 hasConcept C37914503 @default.
- W1528430112 hasConcept C520416788 @default.
- W1528430112 hasConcept C62520636 @default.
- W1528430112 hasConcept C63804487 @default.
- W1528430112 hasConcept C6947382 @default.
- W1528430112 hasConceptScore W1528430112C106881136 @default.
- W1528430112 hasConceptScore W1528430112C110521144 @default.
- W1528430112 hasConceptScore W1528430112C121332964 @default.
- W1528430112 hasConceptScore W1528430112C158129726 @default.
- W1528430112 hasConceptScore W1528430112C191696108 @default.
- W1528430112 hasConceptScore W1528430112C37914503 @default.
- W1528430112 hasConceptScore W1528430112C520416788 @default.
- W1528430112 hasConceptScore W1528430112C62520636 @default.
- W1528430112 hasConceptScore W1528430112C63804487 @default.
- W1528430112 hasConceptScore W1528430112C6947382 @default.
- W1528430112 hasIssue "7" @default.
- W1528430112 hasLocation W15284301121 @default.
- W1528430112 hasLocation W15284301122 @default.
- W1528430112 hasOpenAccess W1528430112 @default.
- W1528430112 hasPrimaryLocation W15284301121 @default.
- W1528430112 hasRelatedWork W1973426205 @default.
- W1528430112 hasRelatedWork W1974509599 @default.
- W1528430112 hasRelatedWork W1983044973 @default.
- W1528430112 hasRelatedWork W1990165812 @default.
- W1528430112 hasRelatedWork W2007460315 @default.
- W1528430112 hasRelatedWork W2155904947 @default.
- W1528430112 hasRelatedWork W2563735128 @default.
- W1528430112 hasRelatedWork W2949633295 @default.
- W1528430112 hasRelatedWork W3103276856 @default.
- W1528430112 hasRelatedWork W4367190861 @default.
- W1528430112 hasVolume "64" @default.
- W1528430112 isParatext "false" @default.
- W1528430112 isRetracted "false" @default.
- W1528430112 magId "1528430112" @default.
- W1528430112 workType "article" @default.