Bootstrapping frustrated magnets: the fate of the chiral ${\rm O}(N)\times {\rm O}(2)$ universality class

Autor:	Reehorst, Marten, Rychkov, Slava, Sirois, Benoit, van Rees, Balt C.
Rok vydání:	2024
Předmět:	High Energy Physics - Theory Condensed Matter - Statistical Mechanics Condensed Matter - Strongly Correlated Electrons
Druh dokumentu:	Working Paper
Popis:	We study multiscalar theories with $\text{O}(N) \times \text{O}(2)$ symmetry. These models have a stable fixed point in $d$ dimensions if $N$ is greater than some critical value $N_c(d)$. Previous estimates of this critical value from perturbative and non-perturbative renormalization group methods have produced mutually incompatible results. We use numerical conformal bootstrap methods to constrain $N_c(d)$ for $3 \leq d < 4$. Our results show that $N_c> 3.78$ for $d = 3$. This favors the scenario that the physically relevant models with $N = 2,3$ in $d=3$ do not have a stable fixed point, indicating a first-order transition. Our result exemplifies how conformal windows can be rigorously constrained with modern numerical bootstrap algorithms. Comment: 48 pages, 15 figures ; Added references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.19411 Zobrazit plný text záznamu View this record from Arxiv