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Exact evolution equation for the effective potential · Around

2017

Exact evolution equation for the effective potential

Wetterich, Christof

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We derive a new exact evolution equation for the scale dependence of an effective action.

The corresponding equation for the effective potential permits a useful truncation.
This allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.

Built on

“Scaling laws for Ising models near T ⁡ ( c ) T(c) ”
LP Kadanoff · 1966
Earlier work this paper cites.
“Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture”
Kenneth Wilson · 1971
Earlier work this paper cites.
“Ordering, metastability and phase transitions in two-dimensional systems”
John Kosterlitz and David Thouless · 1973
Earlier work this paper cites.
“The renormalization group and the ϵ \epsilon -expansion”
Kenneth Wilson and John Kogut · 1974
Earlier work this paper cites.
“The critical properties of the two-dimensional xy model”
JM Kosterlitz · 1974
Earlier work this paper cites.

Similar

“Phase transitions and critical phenomena”
FJ Wegner · 1976
Cited alongside, same era.
“Renormalization and effective Lagrangians”
Joseph Polchinski · 1984
Cited alongside, same era.
“Average action for the N N -component ϕ 4 \phi^{4} -theory”
Andreas Ringwald and Christof Wetterich · 1990
Cited alongside, same era.
“Average action and the renormalization group equations”
Christof Wetterich · 1991
Cited alongside, same era.
“Scale dependence of the average potential around the maximum in φ 4 \varphi^{4} -theories”
Nikolaos Tetradis and Christof Wetterich · 1992
Cited alongside, same era.

Then

“The average action for scalar fields near phase transitions”
Christof Wetterich · 1993
Later among the works it cites.
“The high temperature phase transition for φ 4 \varphi^{4} -theories”
Nikolaos Tetradis and Christof Wetterich · 1993
Later among the works it cites.
“Critical exponents from the effective average action”
Nikolaos Tetradis and Christof Wetterich · 1994
Later among the works it cites.
“Flow equations and BRS invariance for Yang-Mills theories”
Ulrich Ellwanger · 1994
Later among the works it cites.

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