Dimensional reduction and the nontriviality of lambda phi**4 in four-dimensions at high temperature
Feb 10, 1992
12 pages
Published in:
- Mod.Phys.Lett.A 8 (1993) 1779-1794
Report number:
- DIAS-STP-92-02
Citations per year
Abstract: (WSP)
λϕ4 theory in four dimensions is shown perturbatively to have a non-trivial fixed point at finite temperature, the relevant anomalous dimensions at the second order phase transition being the three-dimensional ones. We emphasize the importance of having renormalization schemes and a renormalization group equation that can explicitly take into account the fact that the degrees of freedom of a theory may be qualitatively different at different scales. By applying such considerations to finite temperature λϕ4 where the low temperature degrees of freedom are effectively four-dimensional and the high temperature ones three-dimensional we are able to follow perturbatively the theory from zero to infinite temperature.- phi**n model: 4
- finite temperature
- field theory: fixed point
- critical phenomena
- renormalization group
- dimensional reduction
- dimension: 4
- dimension: 3
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