|Quantum Field Theory|
|... no spooky action at a distance (Einstein)|
|Relativistic Quantum Mechanics|| Klein-Gordon Equation|
|The Dawn of QFT|| Spinors|
Feynman Slash Notation
Conformal Field Theory
Countdown to the Standard Model
|From a framework to a model|| Yang-Mills Theory|
|Semi-Classical Gravity and the Dark Age|| Hawking Radiation|
Problems with the Standard Model
|Beyond the Standard Model|| Beyond the Standard Model|
Theory of Everything
|Related||De Donder-Weyl Theory|
The Higgs Mechanism is a process whereby the spin-1 bosons of a gauge field can acquire mass without spoiling the theory's renormalisability.
In its simplest form (as in the Standard Model), a scalar field (the Higgs Field), charged under the Gauge Field that is to be "higgsed" (e.g. , in the Standard Model), acquires a nonzero Vacuum Expectation Value (a nonzero energy density for the field, even in its zero-particle ground state) thanks to a self-interaction potential. The Goldstone Bosons of this charged condensate add a third, spin-0 component to the two degrees of freedom of the massless spin-1 bosons, creating a massive spin-1 boson with three spin states, -1, 0, and +1.
Such a charged condensate is also capable of giving a mass to Chiral fermions in a Gauge-Invariant way, through an interaction term in which a left-handed fermion and a right-handed Fermion couple to the scalar field, e.g. as in the Yukawa Interaction terms in the Standard Model Lagrangian Density.
In Electroweak theory and Quantum ChromodynamicsEdit this section
The Electroweak Lagrangian Density is given by:
As you can see, a more natural description of the mass can be given by using a "Higgs Field" such that the following:
Lagrangian Density for the HiggsEdit this section
The Higgs Field is a Scalar Field, also known as a Klein-Gordon Field, and it consequently satisfies the Klein-Gordon Equation. Like any other Klein-Gordon Field, it has the following/ Lagrangian Density:
Electroweak Symmetry BreakingEdit this section
The Higgs BosonEdit this section
It was experimentally detected at the LHC in 2011 at a mass of 125 Giga-electron-Volts. This experimental finding was again re-confirmed in 2012, and finally finalised in 2013, also thereby confirming a prediction of the Minimal Supersymmetric Standard Model. It is a popular myth that it confirms a prediction of the Non-Supersymmetric Standard Model.