Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-05
Eur.Phys.J. C36 (2004) 271-281
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 13 figures. Revised version to appear in The European Physical Journal C
Scientific paper
We carefully analyse the use of the effective action in dynamical problems, in particular the conditions under which the equation $\frac{\delta \Ga} {\delta \phi}=0$ can be used as a quantum equation of motion, and the relation between the asymptotic states involved in the definition of $\Ga$ and the initial state of the system. By considering the quantum mechanical example of a double-well potential, where we can get exact results for the time evolution of the system, we show that an approximation to the effective potential in the quantum equation of motion that correctly describes the dynamical evolution of the system is obtained with the help of the wilsonian RG equation (already at the lowest order of the derivative expansion), while the commonly used one-loop effective potential fails to reproduce the exact results.
Branchina Vincenzo
Faivre Hugo
Zappalà Dario
No associations
LandOfFree
Effective action and the quantum equation of motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Effective action and the quantum equation of motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effective action and the quantum equation of motion will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-24126