Fine-tuning and vacuum stability in Wilsonian effective action

Understand

We have computed Wilsonian effective action in a simple model containing scalar field with quartic self-coupling which interacts via Yukawa coupling with a Dirac fermion.

• The model is invariant under a chiral parity operation, which can be spontaneously broken by a vev of the scalar field.
• We have computed explicitly Wilsonian running of relevant parameters which makes it possible to discuss in a consistent manner the issue of fine-tuning and stability of the scalar potential.
• This has been compared with the typical picture based on Gell-Mann-Low running.