Useful Programs and Formulas

of

H. Kleinert and V. Schulte-Frohlinde  
Critical Properties of Phi^4 Theories

If you use any of these, please don't forget to cite the source!

3. Epsilon Expansions (epsilon=4-D) for Critical Exponents in Phi^4 Theories with O(N)-Symmetric and Cubic Interactions around the nontrivial Fixed Points Heisenberg, Ising and Cubic; also for Critical Number N_c of Field Components at which Stability Changes from Heisenberg to Cubic Fixed Point.
Expansions in powers of epsilon=4-D Results of
H. Kleinert and V. Schulte-Frohlinde
Phys. Lett. B 342, 284 (1995) (cond-mat/9503038)
(Mathematica .m format)

4. Expansion of g, eta, nu^(-1) in powers of bare coupling constant g0 in three dimensions. Six-loop results for all O(N), seven-loop results for $N=0,1,2,3$.
The general-$N$ results are from
S. A. Antonenko, A. I. Sokolov (hep-th/9803264),
the $N=0,1,2,3$-results from
D.B. Murray and B.G. Nickel, Univ. of Guelph preprint 1991 (unpublished).
(Mathematica .m format)
The unpublished
B.G. Nickel, D.I. Meiron, and G.B. Baker, Univ. of Guelph preprint 1977
can be downloaded from this URL

5. High-Temperature expansions of O(N)-Symmetric Classical Heisenberg Model by
P. Butera and M. Comi (hep-lat/9703018).
(Mathematica .m format)

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