In physics, the Landau pole (or the Moscow zero, or the Landau ghost) is the momentum (or energy) scale at which the coupling constant (interaction strength) of a quantum field theory becomes infinite. Such a possibility was pointed out by the physicist Lev Landau and his colleagues. The fact that couplings depend on the momentum (or length) scale is the central idea behind the renormalization group. Landau poles appear in theories that are not asymptotically free, such as quantum electrodynamics (QED) or φ4 theory—a scalar field with a quartic interaction—such as may describe the Higgs boson. In these theories, the renormalized coupling constant grows with energy. A Landau pole appears when the coupling becomes infinite at a finite energy scale. In a theory purporting to be complete, this could be considered a mathematical inconsistency. A possible solution is that the renormalized charge could go to zero as the cut-off is removed, meaning that the charge is completely screened by quantum fluctuations (vacuum polarization). This is a case of quantum triviality, which means that quantum corrections completely suppress the interactions in the absence of a cut-off. Since the Landau pole is normally identified through perturbative one-loop or two-loop calculations, it is possible that the pole is merely a sign that the perturbative approximation breaks down at strong coupling. Perturbation theory may also be invalid if non-adiabatic states exist. Lattice gauge theory provides a means to address questions in quantum field theory beyond the realm of perturbation theory, and thus has been used to attempt to resolve this question. Numerical computations performed in this framework seem to confirm Landau's conclusion that in QED the renormalized charge completely vanishes for an infinite cutoff. (Wikipedia).
Perpendicular Bisector of a Line Segment and Triangle
This geometry video tutorial provides a basic introduction into the perpendicular bisector of a line segment and a triangle. it discusses the perpendicular bisector theorem and the definition of perpendicular bisectors in addition to how to use them in a geometry two column proof problem
From playlist Geometry Video Playlist
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From playlist Mathematical Exploration
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
Locus and Definition of a Circle and Sphere
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
From playlist Drawing a sphere
Hawking-Unruh Thermality and Quasinormal quantised time decay by Suraj Hegde
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
Seminar In the Analysis and Methods of PDE (SIAM PDE): Jacob Bedrossian
Title: Landau Damping and Related Effects in Kinetic Models of Plasma Physics Date: Thursday, October 6, 2022, 11:30 am EDT Speaker: Jacob Bedrossian, University of Maryland Abstract: In this talk I will attempt to overview past and recent progress in understanding asymptotic stability in
From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)
A Dyson Sphere is a megastructure that could be built around a star to harness all the solar energy it gives off. In this video we talk about the different kinds of Dyson Spheres, Dyson Clouds and other megastructures that could be built - and how we might even detect them from Earth. ht
From playlist Guide to Space
Introduction to number theory lecture 52. Nonvanishing of L series at s=1.
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We sketch how to show that Dirichlet L functions do not vanish at s=1, completing the proo
From playlist Introduction to number theory (Berkeley Math 115)
Skew Lines, Perpendicular & Parallel Lines & Planes, Intersecting Lines & Transversals
This geometry video tutorial provides a basic introduction into skew lines. It explains the difference between parallel lines, perpendicular lines, skew lines, intersecting lines, and transversals. Parallel lines are coplanar lines that do not intersect. Skew lines are noncoplanar lines
From playlist Geometry Video Playlist
Topological and Flat Bands - Roderich Moessner
DISCUSSION MEETING : ADVANCES IN GRAPHENE, MAJORANA FERMIONS, QUANTUM COMPUTATION DATES Wednesday 19 Dec, 2012 - Friday 21 Dec, 2012 VENUE Auditorium, New Physical Sciences Building, IISc Quantum computation is one of the most fundamental and important research topics today, from both th
From playlist Advances in Graphene, Majorana fermions, Quantum computation
Kelvin circulation theorem, dynamic metric and the fractional quantum Hall effect by Dam Thanh Son
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
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
Altitudes, Medians, Midpoints, Angle & Perpendicular Bisectors
This geometry video tutorial provides a basic review on the differences between an altitude, median, perpendicular bisector, angle bisector and a midpoint. In addition, it makes references to lines, rays and line segments. Geometry Playlist: https://www.youtube.com/watch?v=w8wdKOsUD-4&
From playlist Geometry Video Playlist
MIT 8.851 Effective Field Theory, Spring 2013 View the complete course: http://ocw.mit.edu/8-851S13 Instructor: Iain Stewart In this lecture, the professor discussed solution of R-RGE, sum rule for renormalons, renormalons in OPEs, connecting Wilsonian and Continuum EFT. License: Creativ
From playlist MIT 8.851 Effective Field Theory, Spring 2013
Correlated Electron Phenomena in Suspended Graphene - Amir Yacoby
DISCUSSION MEETING : ADVANCES IN GRAPHENE, MAJORANA FERMIONS, QUANTUM COMPUTATION DATES Wednesday 19 Dec, 2012 - Friday 21 Dec, 2012 VENUE Auditorium, New Physical Sciences Building, IISc Quantum computation is one of the most fundamental and important research topics today, from both th
From playlist Advances in Graphene, Majorana fermions, Quantum computation
2020 Theory Winter School: Philip Kim (pt 2)
Topic: Unusual quasi-particle pairing in van der Waals heterostructures Part 2 For more information on the 2020 Theory Winter School: https://nationalmaglab.org/news-events/events/for-scientists/winter-theory-school
From playlist 2020 Theory Winter School
Cluster Algebras, Landau Singularities, and Scattering Amplitudes - Anastasia Volovich [2018]
Name: Anastasia Volovich Event: Program: Poisson geometry of moduli spaces, associators and quantum field theory Event URL: view webpage Title: Cluster Algebras, Landau Singularities and Scattering Amplitudes Date: 2018-05-16 @11:00 AM Location: 313 http://scgp.stonybrook.edu/video_portal
From playlist Mathematics
Perpendicular Lines, Slope, Rays, and Segments | Geometry
This geometry video tutorial provides a basic introduction into perpendicular lines, slope, rays, line segments and right angles. Perpendicular lines have slopes that are negative reciprocals of each other. Perpendicular Lines, Rays, and Line Segments intersect each other at right angles
From playlist Geometry Video Playlist