Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Codello, Alessandro"'
We probe both the unidimensional quartic harmonic oscillator and the double well potential through a numerical analysis of the Functional Renormalization Group flow equations truncated at first order in the derivative expansion. The two partial diffe
Externí odkaz:
http://arxiv.org/abs/2206.06917
We study renormalization group multicritical fixed points in the $\epsilon$-expansion of scalar field theories characterized by the symmetry of the (hyper)cubic point group $H_N$. After reviewing the algebra of $H_N$-invariant polynomials and arguing
Externí odkaz:
http://arxiv.org/abs/2104.03118
Publikováno v:
Phys. Rev. D 102, 125024 (2020)
We investigate a perturbatively renormalizable $S_{q}$ invariant model with $N=q-1$ scalar field components below the upper critical dimension $d_c=\frac{10}{3}$. Our results hint at the existence of multicritical generalizations of the critical mode
Externí odkaz:
http://arxiv.org/abs/2010.09757
Publikováno v:
Phys. Rev. D 102, 065017 (2020)
We adopt a combination of analytical and numerical methods to study the renormalization group flow of the most general field theory with quartic interaction in $d=4-\epsilon$ with $N=3$ and $N=4$ scalars. For $N=3$, we find that it admits only three
Externí odkaz:
http://arxiv.org/abs/2008.04077
Autor:
Defenu, Nicolò, Codello, Alessandro
The multi-critical fixed points of $O(N)$ symmetric models cease to exist in the $N\to\infty$ limit, but the mechanism regulating their annihilation still presents several enigmatic aspects. Here, we explore the evolution of high-order multi-critical
Externí odkaz:
http://arxiv.org/abs/2005.10827
Publikováno v:
Phys. Rev. D 101, 065002 (2020)
We outline a general strategy developed for the analysis of critical models, which we apply to obtain a heuristic classification of all universality classes with up to three field-theoretical scalar order parameters in $d=6-\epsilon$ dimensions. As e
Externí odkaz:
http://arxiv.org/abs/1910.10009
Publikováno v:
J. Phys. A: Math. Theor. 53 143001 (2020)
The study of critical properties of systems with long-range interactions has attracted in the last decades a continuing interest and motivated the development of several analytical and numerical techniques, in particular in connection with spin model
Externí odkaz:
http://arxiv.org/abs/1908.05158
We study renormalization group (RG) fixed points of scalar field theories endowed with the discrete symmetry groups of regular polytopes. We employ the functional perturbative renormalization group (FPRG) approach and the $\epsilon$-expansion in $d=d
Externí odkaz:
http://arxiv.org/abs/1902.05328
We investigate multi-field multicritical scalar theories using CFT constraints on two- and three-point functions combined with the Schwinger-Dyson equation. This is done in general and without assuming any symmetry for the models, which we just defin
Externí odkaz:
http://arxiv.org/abs/1809.05071
Publikováno v:
J. Stat. Mech. (2018) 013206
The critical behavior of the $(n+1)$-states Potts model in $d$-dimensions is studied with functional renormalization group techniques. We devise a general method to derive $\beta$-functions for continuos values of $d$ and $n$ and we write the flow eq
Externí odkaz:
http://arxiv.org/abs/1707.03410