Fixed points (mathematics) | Renormalization group

Ultraviolet fixed point

In a quantum field theory, one may calculate an effective or running coupling constant that defines the coupling of the theory measured at a given momentum scale. One example of such a coupling constant is the electric charge. In approximate calculations in several quantum field theories, notably quantum electrodynamics and theories of the Higgs particle, the running coupling appears to become infinite at a finite momentum scale. This is sometimes called the Landau pole problem. It is not known whether the appearance of these inconsistencies is an artifact of the approximation, or a real fundamental problem in the theory. However, the problem can be avoided if an ultraviolet or UV fixed point appears in the theory. A quantum field theory has a UV fixed point if its renormalization group flow approaches a fixed point in the ultraviolet (i.e. short length scale/large energy) limit. This is related to zeroes of the beta-function appearing in the Callan–Symanzik equation. The large length scale/small energy limit counterpart is the infrared fixed point. (Wikipedia).

Video thumbnail

Teach Astronomy - Celestial Sphere

http://www.teachastronomy.com/ The celestial sphere is an imaginary sphere surrounding the Earth onto which are projected the objects of the night sky.  There are several fixed points on the celestial sphere that are important.  The Zenith is the point directly over your head.  The Nadir i

From playlist 02. Ancient Astronomy and Celestial Phenomena

Video thumbnail

Astronomy - Ch. 5: Light & E&M Radiation (24 of 30) Emission Spectrum of Celestial Object

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how scientists determine the amount of an element by looking at an emission spectrum of a celestial object.

From playlist ASTRONOMY 5 LIGHT AND RADIATION

Video thumbnail

Teach Astronomy - Visual Magnitude

http://www.teachastronomy.com/ Apparent magnitude or apparent brightness must be specified at a particular wavelength. Stars have different colors or different energy distributions, so the apparent brightness depends on the wavelength of observation. Traditionally, astronomy is done by e

From playlist 14. Stars

Video thumbnail

Teach Astronomy - Photometry

http://www.teachastronomy.com/ Astronomers measure the radiation from distant astronomical objects in several ways. The most basic information is called photometry. This is just a calibrated measure of the amount of light coming from an astronomical object. The light is gathered by the

From playlist 06. Optics and Quantum Theory

Video thumbnail

Astronomy - Ch. 5: Light & E&M Radiation (16 of 30) Radiation Curves of Stars and Humans

Visit http://ilectureonline.com for more math and science lectures! In this video I will compare the radiation curves of different stars and a person.

From playlist ASTRONOMY 5 LIGHT AND RADIATION

Video thumbnail

Teach Astronomy - Apparent Brightness

http://www.teachastronomy.com/ Apparent Brightness in astronomy is the number of photons per second collected at the Earth from an astronomical source. It depends on three things: First, the collecting area of the device used to observe the source of light. In the case of a telescope, t

From playlist 14. Stars

Video thumbnail

Astronomy - Ch. 5: Light & E&M Radiation (11 of 30) Relationship: Radiation, Wavelength, and Opaque

Visit http://ilectureonline.com for more math and science lectures! In this video I will look at the relationship between radiations and their specific wavelengths.

From playlist ASTRONOMY 5 LIGHT AND RADIATION

Video thumbnail

What is light?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Physics

Video thumbnail

Physics 51/54 - Optics: Mirrors (6 of 6) Flat Mirror

Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to find the location of the image when the object is placed 50cm in front of a flat mirror.

From playlist PHYSICS - OPTICS

Video thumbnail

What Every Physicist Should Know About String Theory: Edward Witten

https://strings2015.icts.res.in/talkTitles.php Table of Contents (powered by https://videoken.com) 0:00:00 Introduction 0:01:05 [Talk: What Every Physicist Should Know About String Theory by Edward Witten] 0:02:46 Anyone who has studied physics is familiar with the fact that while physics

From playlist Strings 2015 conference

Video thumbnail

David Gross: Quantum Field Theory - Past Present Future

Invited talk at the Conference in Honour of the 90th Birthday of Freeman Dyson, Institute of Advanced Studies, Nanyang Technological University, Singapore, 26-29 August 2013 http://www.ntu.edu.sg/ias/upcomingevents/FMDS/Pages/default.aspx

From playlist Quantum Field Theory

Video thumbnail

Developments in superstring perturbation theory

Distinguished Visitor Lecture Series Developments in superstring perturbation theory Ashoke Sen Harish-Chandra Research Institute, Allahabad, India

From playlist Distinguished Visitors Lecture Series

Video thumbnail

Non-equilibrium QCD dynamics on the lattice (LQCD2 - Lecture 3) by Soeren Schlichting

PROGRAM THE MYRIAD COLORFUL WAYS OF UNDERSTANDING EXTREME QCD MATTER ORGANIZERS: Ayan Mukhopadhyay, Sayantan Sharma and Ravindran V DATE: 01 April 2019 to 17 April 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Strongly interacting phases of QCD matter at extreme temperature and

From playlist The Myriad Colorful Ways of Understanding Extreme QCD Matter 2019

Video thumbnail

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

Video thumbnail

N=2* SU(2) Supersymmetric Yang-Mills Theory and Four-Manifold Invariants - Gregory Moore

High Energy Theory Seminar N=2* SU(2) Supersymmetric Yang-Mills Theory and Four-Manifold Invariants Speaker: Gregory Moore Affiliation: Rutgers University Date: March 15, 2021 For more video please visit http://video.ias.edu

From playlist IAS High Energy Theory Seminar

Video thumbnail

A Rigorous Renormalization Group Study of a p-Adic Quantum Field Theory

Abdelmalek Abdesselam University of Virginia November 12, 2010 ANALYSIS/MATHEMATICAL PHYSICS SEMINAR This talk will be a progress report on an ongoing research project which is joint work with Ajay Chandra and Gianluca Guadagni and which concerns a p-adic analog of the Brydges-Mitter-Scop

From playlist Mathematics

Video thumbnail

The Heat Equation and the Steady State Heat Distribution via Laplace's Equation

In this video we discuss the steady state solution to the heat equation, which is characterized by Laplace's equation. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Overview 1:24 Black-Body Radiation 8:27 Different Boundary Conditions

From playlist Engineering Math: Vector Calculus and Partial Differential Equations

Video thumbnail

Astronomy 101: Space-Based Telescopes

Skynet University: http://skynet.unc.edu/introastro Use Our Telescopes From Anywhere! Astronomy 101: The Solar System Lesson 4: Telescopes Topic: Space-Based Telescopes Next: Lesson 5 Previous:  Introduction to Radio Astronomy (http://youtu.be/jCgv7yiSLMQ) In Lesson 4, we explore t

From playlist UNC: Astronomy 101 by Skynet University | CosmoLearning.org Astronomy

Video thumbnail

Infrared Camera

We use an infrared camera to look at objects of different temperatures (ice, hot water, candle flame). We then look at objects made of different materials (acrylic, plastic trash bag, aluminum plate) to see which ones are transparent in the infrared vs the visible part of the spectrum. Fin

From playlist Light and Optics

Video thumbnail

Quantum Finite Elements: Lattice Field Theory on Curved Manifolds by Richard Brower

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

Related pages

Asymptotic freedom | Effective field theory | Electric charge | Infrared fixed point | Ultraviolet divergence | Conformal field theory | Asymptotic safety in quantum gravity | Callan–Symanzik equation | Renormalization group | Quantum triviality | Landau pole | Noncommutative quantum field theory