Klein-Gordon Field

Quantum Field Theory
... no spooky action at a distance (Einstein)
Early Results
Relativistic Quantum Mechanics	Klein-Gordon Equation Dirac Equation
The Dawn of QFT	Spinors Spin Feynman Slash Notation Antimatter Klein-Gordon Field Dirac Field Renormalisation Grassman Variable Conformal Field Theory
Countdown to the Standard Model
From a framework to a model	Yang-Mills Theory Quantum Electrodynamics Quantum Chromodynamics Electroweak Theory Higgs Mechanism Standard Model
Semi-Classical Gravity and the Dark Age	Hawking Radiation Chandrashekhar Limit Inflation Problems with the Standard Model
Outlook
Beyond the Standard Model	Beyond the Standard Model Quantum Gravity Theory of Everything
Related
Related	De Donder-Weyl Theory

A Klein-Gordon Field is a Quantum Field that obeys the Klein-Gordon Equation. It Describes Scalar, or Spin-0 Fields, including the famous elemwentary Higgs Field,.

Lagrangian Density

The Lagrangian Density of a free Klein-Gordon Field is given by:

$\mathcal{L}=c_0 \bar{\psi} \left( \Box + \mu^2 \right) \psi$

This can easily, trivially, be derived through the Klein-Gordon Equation along with the Euler-Lagrange Equation.

In the non-free case, replace the $\partial$'s with $\nabla$'s.

Higgs Field

Main Article: Higgs Field

The Higgs Field is the first and so far, only elementary Klein-Gordon Field observed experimentally (at the Large Hadron Collider). It is a scalar, spin-0, and therefore Klein-Gordon Field.