Renormalization group and probability theory

Renormalization Group and Probability Theory

The renormalization group has played an important role in the physics of the second half of the twentieth century both as a conceptual and a calculational tool. In particular it provided the key ideas for the construction of a qualitative and quantitative theory of the critical point in phase transitions and started a new era in statistical mechanics. Probability theory lies at the foundation o...

Kolmogorov Lecture Renormalization Group Method in Probability Theory and Theory of Dynamical Systems

Renormalization-Group-improved perturbation theory

A method for computing the low-energy non-perturbative properties of SUSY GFT, starting from the microscopic lagrangian model, is presented. The method relies on covariant SUSY Feynman graph techniques, adapted to low energy, and RenormalizationGroup-improved perturbation theory. We apply the method to calculate the glueball superpotential in N = 1 SU(2) SYM and obtain a potential of the Venezi...

Chapter 14 Renormalization Group Theory

In this chapter, we discuss the renormalization-group (RG) approach to quantum field theory. As we will see, renormalization group theory is not only a very powerful technique for studying strongly-interacting problems, but also gives a beautiful conceptual framework for understanding many-body physics in general. The latter comes about because in practice we are often interested in determining...

Dilatonic Randall-Sundrum Theory and renormalization group

We extend Randall-Sundrum dynamics to non-conformal metrics corresponding to nonconstant dilaton. We study the appareance of space-time naked singularities and the renormalization group evolution of four-dimensional Newton constant. E-mail address: [email protected] E-mail address: [email protected] E-mail address: [email protected] 1