**Are you an EPFL student looking for a semester project?**

Work with us on data science and visualisation projects, and deploy your project as an app on top of GraphSearch.

Lecture# Goldstone Bosons: Higgs Mechanism

Description

This lecture delves into the concept of Goldstone bosons and the Higgs mechanism, explaining how spontaneous symmetry breaking leads to mass generation for gauge bosons. The instructor discusses the importance of Goldstone bosons in various physical theories, such as the standard model and QCD, and how the Higgs mechanism resolves the issue of mass generation for non-abelian gauge bosons. The lecture also covers the role of Goldstone bosons in understanding the electroweak theory and the significance of explicitly breaking symmetries using spurious terms like spurions.

Official source

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Related concepts (375)

2

2 (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures. The digit used in the modern Western world to represent the number 2 traces its roots back to the Indic Brahmic script, where "2" was written as two horizontal lines. The modern Chinese and Japanese languages (and Korean Hanja) still use this method.

1

1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of unit length is a line segment of length 1. In conventions of sign where zero is considered neither positive nor negative, 1 is the first and smallest positive integer. It is also sometimes considered the first of the infinite sequence of natural numbers, followed by 2, although by other definitions 1 is the second natural number, following 0.

Vector space

In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, may be added together and multiplied ("scaled") by numbers called scalars. Scalars are often real numbers, but can be complex numbers or, more generally, elements of any field. The operations of vector addition and scalar multiplication must satisfy certain requirements, called vector axioms. The terms real vector space and complex vector space are often used to specify the nature of the scalars: real coordinate space or complex coordinate space.

Linear map

In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping between two vector spaces that preserves the operations of vector addition and scalar multiplication. The same names and the same definition are also used for the more general case of modules over a ring; see Module homomorphism. If a linear map is a bijection then it is called a .

Scalar multiplication

In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra). In common geometrical contexts, scalar multiplication of a real Euclidean vector by a positive real number multiplies the magnitude of the vector—without changing its direction. The term "scalar" itself derives from this usage: a scalar is that which scales vectors.

Related lectures (1,000)

Quantum Chromodynamics Overview

Covers Quantum Chromodynamics, including running coupling constant and confinement of quarks and gluons.

Understanding Vacuum Energy in Inflation

Explores vacuum energy during inflation and the dynamics of scalar and vector fields, emphasizing the importance of seeking clarification and providing details about upcoming exams.

Standard Model Overview

Provides an in-depth analysis of the Standard Model, covering topics such as the Higgs mechanism, gauge boson interactions, and the role of chirality in particle physics.

Quarks and Leptons: Spin-1/2 and Dirac Notation

Introduces quarks and leptons, discussing their spin, charge, and notation.

Eigenstate Thermalization Hypothesis

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.