Continued functions and Borel–Leroy transformation: resummation of six-loop ϵ-expansions from different universality classes

نویسندگان

چکیده

We handle divergent {\epsilon} expansions in different universality classes derived from modified Landau-Wilson Hamiltonian. Hamiltonian can cater for describing critical phenomena on a wide range of physical systems which differ symmetry conditions and the associated class. Numerically parameters are most interesting quantities characterize singular behaviour around point. More precise estimates obtained these than previous predictions Pade based methods Borel with conformal mapping procedure. use simple continued functions Borel-Leroy transformation to achieve this. These accurate results helpful strengthening existing conclusions {\phi}^4 models.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bubble chain resummation and universality

We propose a parameterization for contributions of an infinite set of diagrams (bubble chains) into physical observables represented as integrals of running coupling constant over the finite region in momentum space. The perturbation theory part of contributions is rendered well-defined by the principal value prescrition for treating the Landau pole while the rest is connected to the gluon cond...

متن کامل

Continued fraction expansions for q-tangent and q-cotangent functions

1 Philippe Flajolet and continued fractions In a paper that was written on the occasion of Philippe Flajolet’s 50th birthday [26] and discussed his various research areas, we wrote about his contributions to continued fractions: Continued fractions The papers [8, 9, 10] deal with the interplay of continued fractions and combinatorics. Let us consider lattice paths, consisting of steps NORTHEAST...

متن کامل

compactifications and representations of transformation semigroups

this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...

15 صفحه اول

On some classes of expansions of ideals in $MV$-algebras

In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate  and $ (tau,sigma)$-Boolean  in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary  and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...

متن کامل

Blazys Expansions and Continued Fractions

A few years ago Don Blazys caused a ripple of excitation among numerologists by presenting a real number which, applying an iterative computation recipe, produced all prime numbers. The procedure is one of an infinity of possible mappings between subsets of real numbers and subsets of integer sequences. In this particular case, the source set is that of irrational real numbers greater than 1, a...

متن کامل

ذخیره 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: Journal of Physics A

سال: 2021

ISSN: ['1751-8113', '1751-8121']

DOI: https://doi.org/10.1088/1751-8121/ac2322