Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386977891> ?p ?o ?g. }
Showing items 1 to 49 of
49
with 100 items per page.
- W4386977891 abstract "We address nonperturbative dynamics of the two-dimensional bosonic and supersymmetric $mathbb{C}P^{N-1}$ models for general $N$ by developing new tools directly on $mathbb{R}^2$. The analysis starts with a new formulation of instantons that is consistent with the existence of the classical moduli space, classical dipole--dipole type interactions of instanton--anti-instanton pairs, and vanishing interaction of instanton--instanton pairs. The classical consistency is achieved via a representation of the instanton as a collection of $N$ pointlike constituents carrying pair of real and imaginary charges valued in the weight lattice of $SU(N)$. The constituents interact via a generalized Coulomb interaction and do not violate the fact that instanton is a single lump with integer topological charge. By developing the appropriate Gibbs distribution, we show that the vacuum can be captured by a statistical field theory of these constituents, and their cluster expansion. Contrary to the common belief that instantons do not capture the vacuum structure and non-perturbation properties of such theories, our refined analysis is able to produce properties such as mass gap, theta dependence, and confinement of the theory on $mathbb{R}^2$. In supersymmetric theory, our construction gives a new derivation of the mirror symmetry between the sigma model and the dual Landau--Ginzburg model by Hori and Vafa. Our construction also demonstrates that there is absolutely no conflict between large $N$ and instantons." @default.
- W4386977891 created "2023-09-23" @default.
- W4386977891 creator A5053030256 @default.
- W4386977891 creator A5062820686 @default.
- W4386977891 date "2023-09-21" @default.
- W4386977891 modified "2023-10-18" @default.
- W4386977891 title "Refined instanton analysis of the 2D $mathbb{C}P^{N-1}$ model: mass gap, theta dependence, and mirror symmetry" @default.
- W4386977891 doi "https://doi.org/10.48550/arxiv.2309.12178" @default.
- W4386977891 hasPublicationYear "2023" @default.
- W4386977891 type Work @default.
- W4386977891 citedByCount "0" @default.
- W4386977891 crossrefType "posted-content" @default.
- W4386977891 hasAuthorship W4386977891A5053030256 @default.
- W4386977891 hasAuthorship W4386977891A5062820686 @default.
- W4386977891 hasBestOaLocation W43869778911 @default.
- W4386977891 hasConcept C121089165 @default.
- W4386977891 hasConcept C121332964 @default.
- W4386977891 hasConcept C125198404 @default.
- W4386977891 hasConcept C188082385 @default.
- W4386977891 hasConcept C2524010 @default.
- W4386977891 hasConcept C33923547 @default.
- W4386977891 hasConcept C37914503 @default.
- W4386977891 hasConcept C62520636 @default.
- W4386977891 hasConcept C73373263 @default.
- W4386977891 hasConceptScore W4386977891C121089165 @default.
- W4386977891 hasConceptScore W4386977891C121332964 @default.
- W4386977891 hasConceptScore W4386977891C125198404 @default.
- W4386977891 hasConceptScore W4386977891C188082385 @default.
- W4386977891 hasConceptScore W4386977891C2524010 @default.
- W4386977891 hasConceptScore W4386977891C33923547 @default.
- W4386977891 hasConceptScore W4386977891C37914503 @default.
- W4386977891 hasConceptScore W4386977891C62520636 @default.
- W4386977891 hasConceptScore W4386977891C73373263 @default.
- W4386977891 hasLocation W43869778911 @default.
- W4386977891 hasOpenAccess W4386977891 @default.
- W4386977891 hasPrimaryLocation W43869778911 @default.
- W4386977891 hasRelatedWork W1561465782 @default.
- W4386977891 hasRelatedWork W1587360529 @default.
- W4386977891 hasRelatedWork W1991697512 @default.
- W4386977891 hasRelatedWork W2562945401 @default.
- W4386977891 hasRelatedWork W3012757329 @default.
- W4386977891 hasRelatedWork W3099956698 @default.
- W4386977891 hasRelatedWork W3102228722 @default.
- W4386977891 hasRelatedWork W3105975388 @default.
- W4386977891 hasRelatedWork W3184906571 @default.
- W4386977891 hasRelatedWork W4297677035 @default.
- W4386977891 isParatext "false" @default.
- W4386977891 isRetracted "false" @default.
- W4386977891 workType "article" @default.