Large-order behavior of a two-coupling constant phi^4 theory with cubic anisotropy}


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sthoms [ at ] awi-bremerhaven.de

Abstract

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



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ISI/Scopus peer-reviewed
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Published
Eprint ID
5102
Cite as
Kleinert, H. and Thoms, S. (1995): Large-order behavior of a two-coupling constant phi^4 theory with cubic anisotropy} , Physical Review D, 52 , 5926 - 5943 .


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