Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-02-25
Nucl.Phys.B424:582-594,1994
Physics
High Energy Physics
High Energy Physics - Lattice
14 pages, MS-TPI-94-01
Scientific paper
10.1016/0550-3213(94)90409-X
In three-dimensional systems of the Ising universality class the ratio of correlation length amplitudes for the high- and low-temperature phases is a universal quantity. Its field theoretic determination apart from the $\epsilon$-expansion represents a gap in the existing literature. In this article we present a method, which allows to calculate this ratio by renormalized perturbation theory in the phases with unbroken and broken symmetry of a one-component $\phi^4$-theory in fixed dimensions $D=3$. The results can be expressed as power series in the renormalized coupling constant of either of the two phases, and with the knowledge of their fixed point values numerical estimates are obtainable. These are given for the case of a two-loop calculation.
Heitger Jochen
Muenster Gernot
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