Large-Order Behavior of Two-coupling Constant $φ^4$-Theory with Cubic Anisotropy

Details Large-Order Behavior of Two-coupling Constant $φ^4$-Theory with Cubic Anisotropy Large-Order Behavior of Two-coupling Constant $φ^4$-Theory with Cubic Anisotropy

1995-08-29

arxiv.org/abs/hep-th/9508172v1

Phys.Rev. D52 (1995) 5926-5943

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file with eps files in src. See also http://www.physik.fu-berlin.de/~kleinert/institution.html

Scientific paper

10.1103/PhysRevD.52.5926

For the anisotropic $[u (\sum_{i=1^N {\phi}_i^2)^2+v \sum_{i=1^N \phi_i^4]$-theory with {$N=2,3$} we calculate the imaginary parts of the renormalization-group functions in the form of a series expansion in $v$, i.e., around the isotropic case. Dimensional regularization is used to evaluate the fluctuation determinants for the isotropic instanton near the space dimension 4. The vertex functions in the presence of instantons are renormalized with the help of a nonperturbative procedure introduced for the simple $g{\phi^4$-theory by McKane et al.

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