Renormalization group improvement of the effective potential in massive phi**4 theory: Next-next-next-to-leading logarithm resummation

Chung, J.M.; Chung, B.K.

Renormalization group improvement of the effective potential in massive phi**4 theory: Next-next-next-to-leading logarithm resummation

J.M. Chung
(
- MIT, LNS
)
,
B.K. Chung
(
- Kyung Hee U. and
- APCTP, Seoul
)

Nov, 1999

21 pages

Published in:

J.Korean Phys.Soc. 39 (2001) 971-979

e-Print:

hep-th/9911196 [hep-th]

Report number:

MIT-CTP-2929

View in:

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Abstract:

The renormalization group method is applied to the three-loop effective potential of the massive

\phi^4

theory in the

\bar{\rm MS}

scheme in order to obtain the next-next-next-to-leading logarithm resummation. For this, we exploit four-loop parts of the renormalization group functions

\beta_\lambda

,

\gamma_m

,

\gamma_\phi

, and

\beta_\Lambda

, which were already given to five-loop order via the renormalization of the zero-, two-, and four-point one-particle-irreducible Green's functions, to solve evolution equations for the parameters

\lambda

,

m^2

,

\phi

, and

\Lambda

within the accuracy of the three-loop order.

phi**n model: 4
field theory: massive
effective potential
perturbation theory: higher-order
higher-order: 3
higher-order: 4
renormalization group

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