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


Contact
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.



Item Type
Article
Authors
Divisions
Programs
Publication Status
Published
Eprint ID
5103
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 , pp. 5926-5943 .


Share
Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Research Platforms
N/A

Campaigns
N/A


Actions
Edit Item Edit Item