We use scale invariant scattering theory to obtain the exact equations determining the renormalization group fixed points of the two-dimensional CP ( N-1) model, for N real. Also due to special degeneracies at N = 2 and 3, the space of solutions for N > 2 reduces to that of the O(N (2) - 1) model, and accounts for a zero temperature critical point. For N < 2 the space of solutions becomes larger than that of the O(N (2) - 1) model, with the appearance of new branches of fixed points relevant for criticality in gases of intersecting loops.
Critical points in the CP N-1model / Diouane, Y.; Lamsen, N.; Delfino, G.. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2022:2(2022), p. 023201. [10.1088/1742-5468/ac4983]
Critical points in the CP N-1model
Diouane Y.;Lamsen N.;Delfino G.
2022-01-01
Abstract
We use scale invariant scattering theory to obtain the exact equations determining the renormalization group fixed points of the two-dimensional CP ( N-1) model, for N real. Also due to special degeneracies at N = 2 and 3, the space of solutions for N > 2 reduces to that of the O(N (2) - 1) model, and accounts for a zero temperature critical point. For N < 2 the space of solutions becomes larger than that of the O(N (2) - 1) model, with the appearance of new branches of fixed points relevant for criticality in gases of intersecting loops.| File | Dimensione | Formato | |
|---|---|---|---|
|
CPN.pdf
Open Access dal 01/03/2023
Tipologia:
Documento in Post-print
Licenza:
Non specificato
Dimensione
8.29 MB
Formato
Adobe PDF
|
8.29 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
