Normal Form for Renormalization Groups
نویسندگان
چکیده
منابع مشابه
A Normal Form Theorem for Brjuno Skew-systems through Renormalization
We develop a dynamical renormalization method for the problem of local reducibility of analytic linear quasi-periodic skew-product flows on T2×SL(2,R). This approach is based on the continued fraction expansion of the linear base flow and deals with ’small-divisors’ by turning them into ’large-divisors’. We use this method to give a new proof of a normal form theorem for a Brjuno base flow.
متن کاملExact Renormalization Groups As a Form of Entropic Dynamics
The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom, such as, for example, in quantum field theory and critical phenomena. What all these methods have in common—which is what explains their success—is that they allow a systematic search for those degrees of freedom that happen to be relevant to th...
متن کاملMarkov and Artin Normal Form Theorem for Braid Groups
In this paper we will present the results of Artin– Markov on braid groups by using the Gröbner-Shirshov basis. As a consequence we can reobtain the normal form of Artin–Markov– Ivanovsky as an easy corollary.
متن کاملRenormalization Groups
The RG has been introduced originally in order to handle ultraviolet divergencies in Quantum Electrodynamics. In the late sixties it has been realized by Fisher and Kadanoff (1) that critical exponents in phase transition can be computed within a RG calculation with a finite cutoff Λ. In the seventies the method has been applied to solve the Kondo problem (2,3). In the eighties it has become cl...
متن کاملAsymptotic normal form theory for nonautonomous equations and its connections with a renormalization group method
For singular perturbation problems, the renormalization group (RG) method of Chen, Goldenfeld, and Oono has been shown to be an effective general approach. It has been applied to a variety of problems traditionally analyzed using disparate methods, including the method of multiple scales, boundary layer theory, the WKBJ method, the PoincareLindstedt method, the method of averaging, and others. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review X
سال: 2019
ISSN: 2160-3308
DOI: 10.1103/physrevx.9.021014