Scaling solutions in the derivative expansion
Year: 2018
Authors: Defenu N., Codello A.
Autors Affiliation: Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany; Univ Southern Denmark, Origins CP3, Campusvej 55, DK-5230 Odense M, Denmark; INFN, Sez Bologna, Via Irnerio 46, I-40126 Bologna, Italy.
Abstract: Scalar field theories with Z(2) symmetry are the traditional playground of critical phenomena. In this work, these models are studied using functional renormalization group (FRG) equations at order partial derivative(2) of the derivative expansion and, differently from previous approaches, the spike plot technique is employed to find the relative scaling solutions in two and three dimensions. The anomalous dimension of the first few universality classes in d = 2 is given, and the phase structure predicted by conformal field theory is recovered (without the imposition of conformal invariance), while in d = 3 a refilled view of the standard Wilson-Fisher fixed point is found. Our study enlightens the strength of shooting techniques in studying FRG equations, suggesting them as candidates to investigate strongly nonperturbative theories even in more complex cases.
Journal/Review: PHYSICAL REVIEW D
Volume: 98 (1) Pages from: 16013-1 to: 16013-13
More Information: We would like to thank M. Safari for his help and collaboration in the early stages of this work. N. D. acknowledges support by the Deutsche Forschungsgemeinschaft Collaborative Research Centre SFB 1225 (ISOQUANT).KeyWords: Renormalization-group; Critical Exponents; Field-theory; FlowDOI: 10.1103/PhysRevD.98.016013Citations: 13data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)