Matches in SemOpenAlex for { <https://semopenalex.org/work/W4295334512> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4295334512 abstract "This article studies large $N$ limits of a coupled system of $N$ interacting $Phi^4$ equations posed over $mathbb{T}^{d}$ for $d=2$, known as the $O(N)$ linear sigma model. Uniform in $N$ bounds on the dynamics are established, allowing us to show convergence to a mean-field singular SPDE, also proved to be globally well-posed. Moreover, we show tightness of the invariant measures in the large $N$ limit. For large enough mass, they converge to the (massive) Gaussian free field, the unique invariant measure of the mean-field dynamics, at a rate of order $1/sqrt{N}$ with respect to the Wasserstein distance. We also consider fluctuations and obtain tightness results for certain $O(N)$ invariant observables, along with an exact description of the limiting correlations." @default.
- W4295334512 created "2022-09-13" @default.
- W4295334512 creator A5007237966 @default.
- W4295334512 creator A5067323219 @default.
- W4295334512 creator A5069167465 @default.
- W4295334512 creator A5075879804 @default.
- W4295334512 date "2020-05-19" @default.
- W4295334512 modified "2023-09-28" @default.
- W4295334512 title "Large $N$ Limit of the $O(N)$ Linear Sigma Model via Stochastic Quantization" @default.
- W4295334512 doi "https://doi.org/10.48550/arxiv.2005.09279" @default.
- W4295334512 hasPublicationYear "2020" @default.
- W4295334512 type Work @default.
- W4295334512 citedByCount "0" @default.
- W4295334512 crossrefType "posted-content" @default.
- W4295334512 hasAuthorship W4295334512A5007237966 @default.
- W4295334512 hasAuthorship W4295334512A5067323219 @default.
- W4295334512 hasAuthorship W4295334512A5069167465 @default.
- W4295334512 hasAuthorship W4295334512A5075879804 @default.
- W4295334512 hasBestOaLocation W42953345121 @default.
- W4295334512 hasConcept C105795698 @default.
- W4295334512 hasConcept C115667082 @default.
- W4295334512 hasConcept C121332964 @default.
- W4295334512 hasConcept C122044880 @default.
- W4295334512 hasConcept C127413603 @default.
- W4295334512 hasConcept C134306372 @default.
- W4295334512 hasConcept C151201525 @default.
- W4295334512 hasConcept C154018700 @default.
- W4295334512 hasConcept C163716315 @default.
- W4295334512 hasConcept C188198153 @default.
- W4295334512 hasConcept C190470478 @default.
- W4295334512 hasConcept C202213908 @default.
- W4295334512 hasConcept C2778049214 @default.
- W4295334512 hasConcept C2780288589 @default.
- W4295334512 hasConcept C28855332 @default.
- W4295334512 hasConcept C32848918 @default.
- W4295334512 hasConcept C33923547 @default.
- W4295334512 hasConcept C37914503 @default.
- W4295334512 hasConcept C62520636 @default.
- W4295334512 hasConcept C78519656 @default.
- W4295334512 hasConcept C84114770 @default.
- W4295334512 hasConceptScore W4295334512C105795698 @default.
- W4295334512 hasConceptScore W4295334512C115667082 @default.
- W4295334512 hasConceptScore W4295334512C121332964 @default.
- W4295334512 hasConceptScore W4295334512C122044880 @default.
- W4295334512 hasConceptScore W4295334512C127413603 @default.
- W4295334512 hasConceptScore W4295334512C134306372 @default.
- W4295334512 hasConceptScore W4295334512C151201525 @default.
- W4295334512 hasConceptScore W4295334512C154018700 @default.
- W4295334512 hasConceptScore W4295334512C163716315 @default.
- W4295334512 hasConceptScore W4295334512C188198153 @default.
- W4295334512 hasConceptScore W4295334512C190470478 @default.
- W4295334512 hasConceptScore W4295334512C202213908 @default.
- W4295334512 hasConceptScore W4295334512C2778049214 @default.
- W4295334512 hasConceptScore W4295334512C2780288589 @default.
- W4295334512 hasConceptScore W4295334512C28855332 @default.
- W4295334512 hasConceptScore W4295334512C32848918 @default.
- W4295334512 hasConceptScore W4295334512C33923547 @default.
- W4295334512 hasConceptScore W4295334512C37914503 @default.
- W4295334512 hasConceptScore W4295334512C62520636 @default.
- W4295334512 hasConceptScore W4295334512C78519656 @default.
- W4295334512 hasConceptScore W4295334512C84114770 @default.
- W4295334512 hasLocation W42953345121 @default.
- W4295334512 hasOpenAccess W4295334512 @default.
- W4295334512 hasPrimaryLocation W42953345121 @default.
- W4295334512 hasRelatedWork W1999007439 @default.
- W4295334512 hasRelatedWork W2015883891 @default.
- W4295334512 hasRelatedWork W2019903326 @default.
- W4295334512 hasRelatedWork W2020500967 @default.
- W4295334512 hasRelatedWork W2043255010 @default.
- W4295334512 hasRelatedWork W2078136656 @default.
- W4295334512 hasRelatedWork W2162935646 @default.
- W4295334512 hasRelatedWork W2350434139 @default.
- W4295334512 hasRelatedWork W2935784540 @default.
- W4295334512 hasRelatedWork W2950671664 @default.
- W4295334512 isParatext "false" @default.
- W4295334512 isRetracted "false" @default.
- W4295334512 workType "article" @default.