Renormalization group

Quantum triviality

In a quantum field theory, charge screening can restrict the value of the observable "renormalized" charge of a classical theory. Ifthe only resulting value of the renormalized charge is zero, the theory is said to be "trivial" or noninteracting. Thus, surprisingly, a classical theory that appears to describe interacting particles can, whenrealized as a quantum field theory, become a "trivial" theory of noninteracting free particles. This phenomenon is referred to as quantum triviality. Strong evidence supports the idea that a field theory involving only a scalar Higgs boson is trivial in four spacetime dimensions, but the situation for realistic models including other particles in addition to the Higgs boson is not known in general. Nevertheless, because the Higgs boson plays a central role in the Standard Model of particle physics, the question of triviality in Higgs models is of great importance. This Higgs triviality is similar to the Landau pole problem in quantum electrodynamics, where this quantum theory may be inconsistent at very high momentum scales unless the renormalized charge is set to zero, i.e., unless the field theory has no interactions. The Landau pole question is generally considered to be of minor academic interest for quantum electrodynamics because of the inaccessibly large momentum scale at which the inconsistency appears. This is not however the case in theories that involve the elementary scalar Higgs boson, as the momentum scale at which a "trivial" theory exhibits inconsistencies may be accessible to present experimental efforts such as at the LHC. In these Higgs theories, the interactions of the Higgs particle with itself are posited to generate the masses of the W and Z bosons, as well as lepton masses like those of the electron and muon. If realistic models of particle physics such as the Standard Model suffer from triviality issues, the idea of an elementary scalar Higgs particle may have to be modified or abandoned. The situation becomes more complex in theories that involve other particles however. In fact, the addition of other particles can turn a trivial theory into a nontrivial one, at the cost of introducing constraints. Depending on the details of the theory, the Higgs mass can be bounded or even predictable. These quantum triviality constraints are in sharp contrast to the picture one derives at the classical level, where the Higgs mass is a free parameter. (Wikipedia).

Video thumbnail

Quantum Mechanics 1.1: Introduction

In this video I provide some motivation behind the development of quantum mechanics, kicking off a new series on everything you've been wondering about quantum mechanics! Twitter: https://twitter.com/SciencePlease_

From playlist Quantum Mechanics

Video thumbnail

Understanding Quantum Mechanics #1: It’s not about discreteness

This must be one of the most common misunderstandings about quantum mechanics, that quantum mechanics is about making things discrete. But is an understandable misunderstanding because the word “quantum” suggests that quantum mechanics is about small amounts of something. Indeed, if you as

From playlist Understanding Quantum Mechanics

Video thumbnail

Quantum Theory - Full Documentary HD

Check: https://youtu.be/Hs_chZSNL9I The World of Quantum - Full Documentary HD http://www.advexon.com For more Scientific DOCUMENTARIES. Subscribe for more Videos... Quantum mechanics (QM -- also known as quantum physics, or quantum theory) is a branch of physics which deals with physica

From playlist TV Appearances

Video thumbnail

Quantum Physics Full Course | Quantum Mechanics Course

Quantum physics also known as Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all #quantum #physics including quantum chemistry, quantum field theory

From playlist Quantum Mechanics

Video thumbnail

Linear algebra for Quantum Mechanics

Linear algebra is the branch of mathematics concerning linear equations such as. linear functions and their representations in vector spaces and through matrices. In this video you will learn about #linear #algebra that is used frequently in quantum #mechanics or #quantum #physics. ****

From playlist Quantum Physics

Video thumbnail

Understanding Quantum Mechanics #4: It's not so difficult!

Go to https://brilliant.org/Sabine/ to create your Brilliant account. The first 200 will get 20% off the annual premium subscription. In this video I explain the most important and omnipresent ingredients of quantum mechanics: what is the wave-function and how do you calculate with it. Mu

From playlist Understanding Quantum Mechanics

Video thumbnail

Are You GOOD At Quantum Physics?

How Quickly Can You Solve THIS Quantum Physics Problem?!? #Quantum #Mechanics #Light #Frequency #NicholasGKK #Shorts

From playlist Quantum Mechanics

Video thumbnail

What is quantum mechanics? A minimal formulation (Seminar) by Pierre Hohenberg

29 December 2017 VENUE : Ramanujan Lecture Hall, ICTS , Bangalore This talk asks why the interpretation of quantum mechanics, in contrast to classical mechanics is still a subject of controversy, and presents a 'minimal formulation' modeled on a formulation of classical mechanics. In bot

From playlist US-India Advanced Studies Institute: Classical and Quantum Information

Video thumbnail

What is quantum mechanics really all about?

Quantum mechanics is perhaps the most misunderstood of modern physics topics, with many counterintuitive concepts like cats being both alive and dead and with claims that something doesn’t exist until a human looks at it. In this video, Fermilab’s Dr. Don Lincoln boils quantum mechanics do

From playlist Quantum Physics

Video thumbnail

Matthew Hastings - Introduction to Quantum Cellular Automata - IPAM at UCLA

Recorded 01 September 2021. Matthew Hastings of Microsoft Research presents "Introduction to Quantum Cellular Automata" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. Learn more online at: http://www.ipam.ucla.edu/programs/summer-schools/graduate-summer-scho

From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter

Video thumbnail

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

Video thumbnail

Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - A.Harrow

Aram Harrow (MIT) / 15.09.17 Title: Local Hamiltonians Whose Ground States are Hard to Approximate Abstract: Ground states of local Hamiltonians are typically highly entangled: any quantum circuit that generates them (even approximately) must be sufficiently deep to allow coupling (entan

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

Video thumbnail

A survey of quandle theory by Mohamed Elhamdadi

PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onli

From playlist Knots Through Web (Online)

Video thumbnail

Hermann Schulz-Baldes: Invariants of disordered topological insulators

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 SPECIAL 7th European congress of Mathematics Berlin 2016.

Video thumbnail

G actions in SUSY QM; or, the Fukaya category of point/G by Tudor Dimofte

Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries

From playlist Quantum Fields, Geometry and Representation Theory

Video thumbnail

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

Video thumbnail

Emergent quantum criticality from spin-orbital entanglement in d^8 Mott insulators by Gang Chen

Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne

From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism

Video thumbnail

The center of the small quantum group - Pablo Boixeda Alvarez

Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: The center of the small quantum group Speaker: Pablo Boixeda Alvarez Affiliation: Member, School of Mathematics Date: November 17, 2020 For more video please visit http://video.ias.edu

From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory

Video thumbnail

In Quantum Mechanics, can something be in two places at the same time?

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: Quantum Mechanics

Video thumbnail

Symplectic Vortices and the Quantum Kirwan Map (Lecture 4) by Chris Woodward

PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie

From playlist Vortex Moduli - 2023

Related pages

Asymptotic freedom | Critical phenomena | Lepton | Muon | Hamiltonian (quantum mechanics) | Electron | Action (physics) | Renormalization group | Landau pole | Reductio ad absurdum