Contents

# Contents

## Idea

Given a local Lagrangian density $L$ defining the action functional of a local field theory, typically it splits as a sum

$L = L_{free} + L_{int}$

of a term $L_{free}$ that defines a free field theory (kinetic energy) and a remainder $L_{int}$ defining the interactions of a corresponding interacting field theory. That remainder then describes the interactions that the otherwise free fields undergo.

The interaction picture of quantum physics serves to decompose the quantization of local field theories such that the interaction is seen as a perturbation of the quantization of the free field theory. This underlies most constructions of perturbative quantum field theory, including the mathematically rigorous formulation via causal perturbation theory.

## Examples

action functionalkinetic actioninteractionpath integral measure
$\exp(-S(\phi)) \cdot \mu =$$\exp(-(\phi, Q \phi)) \cdot$$\exp(I(\phi)) \cdot$$\mu$
BV differentialelliptic complex +antibracket with interaction +BV-Laplacian
$d_q =$$Q$ +$\{I,-\}$ +$\hbar \Delta$

Last revised on February 20, 2018 at 05:49:55. See the history of this page for a list of all contributions to it.