Matches in SemOpenAlex for { <https://semopenalex.org/work/W2069703764> ?p ?o ?g. }
- W2069703764 endingPage "645" @default.
- W2069703764 startingPage "613" @default.
- W2069703764 abstract "Nonlinear $sigma$-model is an ubiquitous model. In this paper, the $O(N)$ model where the $N$-component spin is a unit vector, ${bf S}^2=1$,is considered. The stability of this model with respect to gradient operators $(partial_{mu}{bf S}cdot partial_{nu}{bf S})^s$, where the degree $s$ is arbitrary, is discussed. Explicit two-loop calculations within the scheme of $epsilon$-expansion, where $epsilon=(d-2)$, leads to the surprising result that these operators are relevant. In fact, the relevancy increases with the degree $s$. We argue that this phenomenon in the $O(N)$-model actually reflects the failure of the perturbative analysis, that is, the $(2+epsilon)$-expansion. It is likely that it is necessary to take into account non-perturbative effects if one wants to describe the phase transition of the Heisenberg model within the context of the non-linear $sigma$-model. Thus, uncritical use of the $(2+epsilon)$-expansion may be misleading, especially for those cases for which there are not many independent checks." @default.
- W2069703764 created "2016-06-24" @default.
- W2069703764 creator A5081986121 @default.
- W2069703764 creator A5091273416 @default.
- W2069703764 date "1997-02-01" @default.
- W2069703764 modified "2023-09-26" @default.
- W2069703764 title "Is the phase transition in the Heisenberg model described by the (2 + ϵ) expansion of the non-linear σ-model?" @default.
- W2069703764 cites W1540380506 @default.
- W2069703764 cites W1545541147 @default.
- W2069703764 cites W1635574198 @default.
- W2069703764 cites W1964870746 @default.
- W2069703764 cites W1966460425 @default.
- W2069703764 cites W1968136021 @default.
- W2069703764 cites W1971138229 @default.
- W2069703764 cites W1974281514 @default.
- W2069703764 cites W1975881525 @default.
- W2069703764 cites W1979138377 @default.
- W2069703764 cites W1983248784 @default.
- W2069703764 cites W1985105702 @default.
- W2069703764 cites W1996389529 @default.
- W2069703764 cites W1996823253 @default.
- W2069703764 cites W2002523827 @default.
- W2069703764 cites W2004589772 @default.
- W2069703764 cites W2013436005 @default.
- W2069703764 cites W2016939318 @default.
- W2069703764 cites W2017658873 @default.
- W2069703764 cites W2020688463 @default.
- W2069703764 cites W2024053217 @default.
- W2069703764 cites W2026423879 @default.
- W2069703764 cites W2032163254 @default.
- W2069703764 cites W2039263963 @default.
- W2069703764 cites W2050091673 @default.
- W2069703764 cites W2051335593 @default.
- W2069703764 cites W2054086911 @default.
- W2069703764 cites W2062790565 @default.
- W2069703764 cites W2065885517 @default.
- W2069703764 cites W2076075630 @default.
- W2069703764 cites W2076109582 @default.
- W2069703764 cites W2086393405 @default.
- W2069703764 cites W2090813143 @default.
- W2069703764 cites W2117254744 @default.
- W2069703764 cites W2132352444 @default.
- W2069703764 cites W2230547431 @default.
- W2069703764 cites W2562559245 @default.
- W2069703764 cites W291443582 @default.
- W2069703764 cites W3099877967 @default.
- W2069703764 cites W3147258509 @default.
- W2069703764 doi "https://doi.org/10.1016/s0550-3213(96)00617-7" @default.
- W2069703764 hasPublicationYear "1997" @default.
- W2069703764 type Work @default.
- W2069703764 sameAs 2069703764 @default.
- W2069703764 citedByCount "18" @default.
- W2069703764 countsByYear W20697037642015 @default.
- W2069703764 countsByYear W20697037642021 @default.
- W2069703764 crossrefType "journal-article" @default.
- W2069703764 hasAuthorship W2069703764A5081986121 @default.
- W2069703764 hasAuthorship W2069703764A5091273416 @default.
- W2069703764 hasBestOaLocation W20697037642 @default.
- W2069703764 hasConcept C112972136 @default.
- W2069703764 hasConcept C119857082 @default.
- W2069703764 hasConcept C121332964 @default.
- W2069703764 hasConcept C149288129 @default.
- W2069703764 hasConcept C151730666 @default.
- W2069703764 hasConcept C158622935 @default.
- W2069703764 hasConcept C201665358 @default.
- W2069703764 hasConcept C24890656 @default.
- W2069703764 hasConcept C2775997480 @default.
- W2069703764 hasConcept C2778049214 @default.
- W2069703764 hasConcept C2779343474 @default.
- W2069703764 hasConcept C2781313195 @default.
- W2069703764 hasConcept C33923547 @default.
- W2069703764 hasConcept C37914503 @default.
- W2069703764 hasConcept C41008148 @default.
- W2069703764 hasConcept C42704618 @default.
- W2069703764 hasConcept C62520636 @default.
- W2069703764 hasConcept C82217956 @default.
- W2069703764 hasConcept C86803240 @default.
- W2069703764 hasConcept C97355855 @default.
- W2069703764 hasConceptScore W2069703764C112972136 @default.
- W2069703764 hasConceptScore W2069703764C119857082 @default.
- W2069703764 hasConceptScore W2069703764C121332964 @default.
- W2069703764 hasConceptScore W2069703764C149288129 @default.
- W2069703764 hasConceptScore W2069703764C151730666 @default.
- W2069703764 hasConceptScore W2069703764C158622935 @default.
- W2069703764 hasConceptScore W2069703764C201665358 @default.
- W2069703764 hasConceptScore W2069703764C24890656 @default.
- W2069703764 hasConceptScore W2069703764C2775997480 @default.
- W2069703764 hasConceptScore W2069703764C2778049214 @default.
- W2069703764 hasConceptScore W2069703764C2779343474 @default.
- W2069703764 hasConceptScore W2069703764C2781313195 @default.
- W2069703764 hasConceptScore W2069703764C33923547 @default.
- W2069703764 hasConceptScore W2069703764C37914503 @default.
- W2069703764 hasConceptScore W2069703764C41008148 @default.
- W2069703764 hasConceptScore W2069703764C42704618 @default.
- W2069703764 hasConceptScore W2069703764C62520636 @default.
- W2069703764 hasConceptScore W2069703764C82217956 @default.
- W2069703764 hasConceptScore W2069703764C86803240 @default.
- W2069703764 hasConceptScore W2069703764C97355855 @default.