nLab kinetic action

Idea

In physics the part of the action functional of a theory which describes the dynamics of free fields without interaction is called the kinetic action.

The Legendre transform of the kinetic action is the kinetic energy (Dirichlet energy).

Related concepts

action functional	kinetic action	interaction	path integral measure
$\exp(-S(\phi)) \cdot \mu =$	$\exp(-(\phi, Q \phi)) \cdot$	$\exp(I(\phi)) \cdot$	$\mu$
BV differential	elliptic complex +	antibracket with interaction +	BV-Laplacian
$d_q =$	$Q$ +	$\{I,-\}$ +	$\hbar \Delta$