دورية أكاديمية
أعرض في EDS

Crossover exponents, fractal dimensions and logarithms in Landau–Potts field theories

التفاصيل البيبلوغرافية
العنوان: Crossover exponents, fractal dimensions and logarithms in Landau–Potts field theories
المؤلفون: M. Safari, G. P. Vacca, O. Zanusso
المصدر: European Physical Journal C: Particles and Fields, Vol 80, Iss 12, Pp 1-15 (2020)
بيانات النشر: SpringerOpen, 2020.
سنة النشر: 2020
المجموعة: LCC:Astrophysics
LCC:Nuclear and particle physics. Atomic energy. Radioactivity
مصطلحات موضوعية: Astrophysics, QB460-466, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
الوصف: Abstract We compute the crossover exponents of all quadratic and cubic deformations of critical field theories with permutation symmetry $$S_q$$ S q in $$d=6-\epsilon $$ d = 6 - ϵ (Landau–Potts field theories) and $$d=4-\epsilon $$ d = 4 - ϵ (hypertetrahedral models) up to three loops. We use our results to determine the $$\epsilon $$ ϵ -expansion of the fractal dimension of critical clusters in the most interesting cases, which include spanning trees and forests ( $$q\rightarrow 0$$ q → 0 ), and bond percolations ( $$q\rightarrow 1$$ q → 1 ). We also explicitly verify several expected degeneracies in the spectrum of relevant operators for natural values of q upon analytic continuation, which are linked to logarithmic corrections of CFT correlators, and use the $$\epsilon $$ ϵ -expansion to determine the universal coefficients of such logarithms.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1434-6044
1434-6052
Relation: https://doaj.org/toc/1434-6044; https://doaj.org/toc/1434-6052
DOI: 10.1140/epjc/s10052-020-08687-0
URL الوصول: https://doaj.org/article/5db42ba9dfce4187aeeeff653ed00043
رقم الأكسشن: edsdoj.5db42ba9dfce4187aeeeff653ed00043
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:14346044
14346052
DOI:10.1140/epjc/s10052-020-08687-0