TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.5.3.044
TI  - Renormalization group and effective potential: a simple non-perturbative approach
PY  - 2022/09/26
UR  - https://www.scipost.org/SciPostPhysCore.5.3.044
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 5
IS  - 3
SP  - 044
A1  - Gaite, Jose
AB  - We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev. D51, 7017 (1995)] of converting the exact renormalization group into a self-consistent renormalization method. It yields a simple second order differential equation for the effective potential. The equation can be solved and its solution is compared with other non-perturbative results and with results of perturbation theory. In three dimensions, we are led to study the sextic field theory ($\lambda\phi^4+g\phi^6$). We work out this theory at two-loop perturbative order and find the non-perturbative approach to be superior.
ER  -

@Article{10.21468/SciPostPhysCore.5.3.044,
	title={{Renormalization group and effective potential: a simple non-perturbative approach}},
	author={Jose Gaite},
	journal={SciPost Phys. Core},
	volume={5},
	pages={044},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.5.3.044},
	url={https://scipost.org/10.21468/SciPostPhysCore.5.3.044},
}