nLab
kinetic action

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Contents

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).

action functionalkinetic actioninteractionpath integral measure
exp(S(ϕ))μ=\exp(-S(\phi)) \cdot \mu = exp((ϕ,Qϕ))\exp(-(\phi, Q \phi)) \cdotexp(I(ϕ))\exp(I(\phi)) \cdotμ\mu
BV differentialelliptic complex +antibracket with interaction +BV-Laplacian
d q=d_q =QQ +{I,}\{I,-\} +Δ\hbar \Delta

Last revised on June 13, 2015 at 06:07:42. See the history of this page for a list of all contributions to it.