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Jan20-13, 10:07 AM   #1
 

seeking derivation of real scalar field Lagrangian


Here and there I come across the following formula for the Lagrangian density of a real scalar field, but not a deriviation.

[tex]
\mathcal{L} = \frac {1}{2} [ \dot \phi ^2 - ( \nabla \phi ) ^2 - (m \phi )^2 ]

[/tex]

Could someone show me where this comes from? The m squared term in particular is a mystery.
 
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