6533b821fe1ef96bd127c233
RESEARCH PRODUCT
A note on scaling arguments in the effective average action formalism
Carlo Paganisubject
PhysicsHigh Energy Physics - Theory010308 nuclear & particles physicsFOS: Physical sciences01 natural sciencesComposite operatorFormalism (philosophy of mathematics)High Energy Physics - Theory (hep-th)0103 physical sciencesBoundary value problem010306 general physicsScalingEffective actionMathematical physicsdescription
The effective average action (EAA) is a scale dependent effective action where a scale $k$ is introduced via an infrared regulator. The $k-$dependence of the EAA is governed by an exact flow equation to which one associates a boundary condition at a scale $\mu$. We show that the $\mu-$dependence of the EAA is controlled by an equation fully analogous to the Callan-Symanzik equation which allows to define scaling quantities straightforwardly. Particular attention is paid to composite operators which are introduced along with new sources. We discuss some simple solutions to the flow equation for composite operators and comment their implications in the case of a local potential approximation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-08-01 |