Critical curvature of large-$N$ nonlinear $O(N)$ sigma model on $S^2$
| dc.creator | Kim, K. H. | |
| dc.creator | Song, Dae-Yup | |
| dc.date | 1995-07-14 | |
| dc.date.accessioned | 2026-07-07T04:21:19Z | |
| dc.date.available | 2026-07-07T04:21:19Z | |
| dc.description | We study the nonlinear $O(N)$ sigma model on $S^2$ with the gravitational coupling term, by evaluating the effective potential in the large-$N$ limit. It is shown that there is a critical curvature $R_c$ of $S^2$ for any positive gravitational coupling constant $ξ$, and the dynamical mass generation takes place only when $R<R_c$. The critical curvature is analytically found as a function of $ξ$ $(>0)$, which leads us to define a function looking like a natural generalization of Euler-Mascheroni constant. | |
| dc.description | 7 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9507080 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9507080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54266 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Critical curvature of large-$N$ nonlinear $O(N)$ sigma model on $S^2$ | |
| dc.type | text |