Fixed points (mathematics) | Scaling symmetries | Renormalization group

Functional renormalization group

In theoretical physics, functional renormalization group (FRG) is an implementation of the renormalization group (RG) concept which is used in quantum and statistical field theory, especially when dealing with strongly interacting systems. The method combines functional methods of quantum field theory with the intuitive renormalization group idea of Kenneth G. Wilson. This technique allows to interpolate smoothly between the known microscopic laws and the complicated macroscopic phenomena in physical systems. In this sense, it bridges the transition from simplicity of microphysics to complexity of macrophysics. Figuratively speaking, FRG acts as a microscope with a variable resolution. One starts with a high-resolution picture of the known microphysical laws and subsequently decreases the resolution to obtain a coarse-grained picture of macroscopic collective phenomena. The method is nonperturbative, meaning that it does not rely on an expansion in a small coupling constant. Mathematically, FRG is based on an exact functional differential equation for a scale-dependent effective action. (Wikipedia).

Functional renormalization group
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Abstract Algebra | The dihedral group

We present the group of symmetries of a regular n-gon, that is the dihedral group D_n. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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Michael Wibmer: Etale difference algebraic groups

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

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Dihedral Group (Abstract Algebra)

The Dihedral Group is a classic finite group from abstract algebra. It is a non abelian groups (non commutative), and it is the group of symmetries of a regular polygon. This group is easy to work with computationally, and provides a great example of one connection between groups and geo

From playlist Abstract Algebra

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Dihedral group example

In this veideo we continue our look in to the dihedral groups, specifically, the dihedral group with six elements. We note that two of the permutation in the group are special in that they commute with all the other elements in the group. In the next video I'll show you that these two el

From playlist Abstract algebra

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FIT4.1. Galois Group of a Polynomial

EDIT: There was an in-video annotation that was erased in 2018. My source (Herstein) assumes characteristic 0 for the initial Galois theory section, so separability is an automatic property. Let's assume that unless noted. In general, Galois = separable plus normal. Field Theory: We

From playlist Abstract Algebra

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Product groups

Now that we have defined and understand quotient groups, we need to look at product groups. In this video I define the product of two groups as well as the group operation, proving that it is indeed a group.

From playlist Abstract algebra

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Homotopy Group - (1)Dan Licata, (2)Guillaume Brunerie, (3)Peter Lumsdaine

(1)Carnegie Mellon Univ.; Member, School of Math, (2)School of Math., IAS, (3)Dalhousie Univ.; Member, School of Math April 11, 2013 In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be des

From playlist Mathematics

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Renormalization Group Flows and the $a$-theorem by John Cardy

Date : Wednesday, July 5, 2017 Time : 16:15 PM Venue : Ramanujan Lecture Hall, ICTS Campus, Bangalore Abstract : In 1986 A Zamolodchikov derived the remarkable result that in two-dimensional quantum field theories renormalization group flows are irreversible. T

From playlist Seminar Series

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Roland Bauerschmidt - The Renormalisation Group - a Mathematical Perspective (1/4)

In physics, the renormalisation group provides a powerful point of view to understand random systems with strong correlations. Despite advances in a number of particular problems, in general its mathematical justification remains a holy grail. I will give an introduction to the main concep

From playlist Roland Bauerschmidt - The Renormalisation Group - a Mathematical Perspective

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Curvature function renormalisation and topological phase transitions by Sumathi Rao

DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental

From playlist Novel Phases of Quantum Matter 2019

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Roland Bauerschmidt - Perspectives on the renormalisation group approach

The goal of this talk is to review some of the successes but also the outstanding challenges of the renormalisation group approach to the Ising and \varphi^4 models. I will also try to describe a common perspective of the usual approach to the renormalisation group based on perturbation th

From playlist 100…(102!) Years of the Ising Model

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Daniel Friedan - Where does quantum field theory come from?

Daniel Friedan (Rutgers Univ.) Where does quantum field theory come from? This will be an interim report on a long-running project to construct a mechanism that produces spacetime quantum field theory; to indentify possible exotic, non-canonical low- energy phenomena in SU(2) and SU(3) gau

From playlist Conférence à la mémoire de Vadim Knizhnik

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Roland Bauerschmidt: Lecture #2

This is a second lecture on "Log-Sobolev inequality and the renormalisation group" by Dr. Roland Bauerschmidt. For more materials and slides visit: https://sites.google.com/view/oneworld-pderandom/home

From playlist Summer School on PDE & Randomness

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Group theory 3: Homomorphisms

This is lecture 3 of an online mathematics course on group theory. It gives a review of homomorphisms and isomorphisms and gives some examples of these.

From playlist Group theory

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Cohomological Automorphic Representations on Unitary Groups - Rahul Dalal

Joint IAS/PU Number Theory Seminar Topic: Applications of the Endoscopic Classification to Statistics of Cohomological Automorphic Representations on Unitary Groups Speaker: Rahul Dalal Affiliation: Johns Hopkins University Date: November 03, 2022 Consider the family of automorphic repre

From playlist Mathematics

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Werner Müller : Analytic torsion for locally symmetric spaces of finite volume

Abstract : This is joint work with Jasmin Matz. The goal is to introduce a regularized version of the analytic torsion for locally symmetric spaces of finite volume and higher rank. Currently we are able to treat quotients of the symmetric space SL(n,ℝ)/SO(n) by congruence subgroups of SL(

From playlist Topology

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Introduction to Wilsonian Renormalization Group by Anna Hasenfratz

PROGRAM NONPERTURBATIVE AND NUMERICAL APPROACHES TO QUANTUM GRAVITY, STRING THEORY AND HOLOGRAPHY (HYBRID) ORGANIZERS: David Berenstein (University of California, Santa Barbara, USA), Simon Catterall (Syracuse University, USA), Masanori Hanada (University of Surrey, UK), Anosh Joseph (II

From playlist NUMSTRING 2022

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Abstraction - Seminar 3 - Renormalisation I by Ben Gerraty

This seminar series is on the relations among Natural Abstraction, Renormalisation and Resolution. This week Ben Gerraty gives an introduction to renormalisation, showing an example of an RG flow with explicit calculations, and finishing with the first part of the story of renormalisation

From playlist Abstraction

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Strong-coupling renormalization group in the hierarchical Kondo model - Ian Jauslin

Topic: Strong-coupling renormalization group in the hierarchical Kondo model Speaker: Ian Jauslin, Member, School of Mathematics Time/Room: 4:15pm - 4:30pm/S-101 More videos on http://video.ias.edu

From playlist Mathematics

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Visual Group Theory, Lecture 6.4: Galois groups

Visual Group Theory, Lecture 6.4: Galois groups The Galois group Gal(f(x)) of a polynomial f(x) is the automorphism group of its splitting field. The degree of a chain of field extensions satisfies a "tower law", analogous to the tower law for the index of a chain of subgroups. This hints

From playlist Visual Group Theory

Related pages

Critical phenomena | Legendre transformation | Perturbation theory | Regularization (physics) | Statistical field theory | Hubbard–Stratonovich transformation | Asymptotic safety in quantum gravity | Fixed point (mathematics) | Action (physics) | Universality (dynamical systems) | Coupling constant | Renormalization | Scale invariance | Renormalization group