Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297162552> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W4297162552 abstract "We study the non-perturbative dynamics of the two dimensional ${O(N)}$ and Grassmannian sigma models by using compactification with twisted boundary conditions on $mathbb R times S^1$, semi-classical techniques and resurgence. While the $O(N)$ model has no instantons for $N>3$, it has (non-instanton) saddles on $mathbb R^2$, which we call 2d-saddles. On $mathbb R times S^1$, the resurgent relation between perturbation theory and non-perturbative physics is encoded in new saddles, which are associated with the affine root system of the ${frak o}(N) $ algebra. These events may be viewed as fractionalizations of the 2d-saddles. The first beta function coefficient, given by the dual Coxeter number, can then be intepreted as the sum of the multiplicities (dual Kac labels) of these fractionalized objects. Surprisingly, the new saddles in $O(N)$ models in compactified space are in one-to-one correspondence with monopole-instanton saddles in $SO(N)$ gauge theory on $mathbb R^3 times S^1$. The Grassmannian sigma models ${ rm Gr}(N, M)$ have 2d instantons, which fractionalize into $N$ kink-instantons. The small circle dynamics of both sigma models can be described as a dilute gas of the one-events and two-events, bions. One-events are the leading source of a variety of non-perturbative effects, and produce the strong scale of the 2d theory in the compactified theory. We show that in both types of sigma models the neutral bion emulates the role of IR-renormalons. We also study the topological theta angle dependence in both the $O(3)$ model and ${ rm Gr}(N, M)$, and describe the multi-branched structure of the observables in terms of the theta-angle dependence of the saddle amplitudes." @default.
- W4297162552 created "2022-09-27" @default.
- W4297162552 creator A5053030256 @default.
- W4297162552 creator A5062556177 @default.
- W4297162552 date "2015-05-28" @default.
- W4297162552 modified "2023-09-23" @default.
- W4297162552 title "Resurgence and Dynamics of O(N) and Grassmannian Sigma Models" @default.
- W4297162552 doi "https://doi.org/10.48550/arxiv.1505.07803" @default.
- W4297162552 hasPublicationYear "2015" @default.
- W4297162552 type Work @default.
- W4297162552 citedByCount "0" @default.
- W4297162552 crossrefType "posted-content" @default.
- W4297162552 hasAuthorship W4297162552A5053030256 @default.
- W4297162552 hasAuthorship W4297162552A5062556177 @default.
- W4297162552 hasBestOaLocation W42971625521 @default.
- W4297162552 hasConcept C121332964 @default.
- W4297162552 hasConcept C125198404 @default.
- W4297162552 hasConcept C140860697 @default.
- W4297162552 hasConcept C162929932 @default.
- W4297162552 hasConcept C181830111 @default.
- W4297162552 hasConcept C202444582 @default.
- W4297162552 hasConcept C2524010 @default.
- W4297162552 hasConcept C2778049214 @default.
- W4297162552 hasConcept C2779165322 @default.
- W4297162552 hasConcept C33923547 @default.
- W4297162552 hasConcept C37914503 @default.
- W4297162552 hasConcept C57796230 @default.
- W4297162552 hasConcept C62520636 @default.
- W4297162552 hasConceptScore W4297162552C121332964 @default.
- W4297162552 hasConceptScore W4297162552C125198404 @default.
- W4297162552 hasConceptScore W4297162552C140860697 @default.
- W4297162552 hasConceptScore W4297162552C162929932 @default.
- W4297162552 hasConceptScore W4297162552C181830111 @default.
- W4297162552 hasConceptScore W4297162552C202444582 @default.
- W4297162552 hasConceptScore W4297162552C2524010 @default.
- W4297162552 hasConceptScore W4297162552C2778049214 @default.
- W4297162552 hasConceptScore W4297162552C2779165322 @default.
- W4297162552 hasConceptScore W4297162552C33923547 @default.
- W4297162552 hasConceptScore W4297162552C37914503 @default.
- W4297162552 hasConceptScore W4297162552C57796230 @default.
- W4297162552 hasConceptScore W4297162552C62520636 @default.
- W4297162552 hasLocation W42971625521 @default.
- W4297162552 hasLocation W42971625522 @default.
- W4297162552 hasOpenAccess W4297162552 @default.
- W4297162552 hasPrimaryLocation W42971625521 @default.
- W4297162552 hasRelatedWork W2009153594 @default.
- W4297162552 hasRelatedWork W2025978641 @default.
- W4297162552 hasRelatedWork W2031962876 @default.
- W4297162552 hasRelatedWork W2053560696 @default.
- W4297162552 hasRelatedWork W2057907920 @default.
- W4297162552 hasRelatedWork W2132848597 @default.
- W4297162552 hasRelatedWork W2949567100 @default.
- W4297162552 hasRelatedWork W2951989074 @default.
- W4297162552 hasRelatedWork W3098826844 @default.
- W4297162552 hasRelatedWork W45973259 @default.
- W4297162552 isParatext "false" @default.
- W4297162552 isRetracted "false" @default.
- W4297162552 workType "article" @default.