Renormalization group and effective potential: a simple non-perturbative approach
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...
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| Format: | Article |
| Language: | English |
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SciPost
2022-09-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.5.3.044 |
| Summary: | 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. |
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| ISSN: | 2666-9366 |