|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|
Electroweak Theory is a Quantum Field Theory which unifies Electromagnetism and the Weak Nuclear Force in a single Gauge Field with gauge group , where acts only on Left-Handed Fermions, and is "hypercharge". The Higgs Mechanism gives mass to the W and Z components of this gauge field, and breaks the symmetry to , as described by Quantum Electrodynamics.
Lagrangian DensityEdit this section
The Lagrangian Density excluding field strength is given by:
Here, is the mass of the W/Z boson, is the Weak Field, is the Photon Field, and is the Weak Hypercharge.
If one lets
then the Lagrangian Density (with a field strength
Dirac EquationEdit this section
From the result of the last section, we see that
Electroweak Symmetry BreakingEdit this section
- Main Article: Higgs Mechanism
As per Experimental Results, Photons are massless, whereas Weak Force mediating W and Z Bosons are massive. If these W and Z Bosons are massive, then this means that Electroweak Symmetry is broken. This Electroweak Symmetry Breaking is the result of the Higgs Mechanism.