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Reduction of a Class of Three-Loop Vacuum Diagrams to Tetrahedron Topologies | | J.-M. Chung
; B. K. Chung
; | | Date: |
16 Dec 2000 | | Journal: | J.Korean Phys.Soc. 38 (2001) 60-64 | | Subject: | hep-th | | Abstract: | We obtain finite parts (as well as $epsilon$-pole parts) of massive three-loop vacuum diagrams with three-point and/or four-point interaction vertices by reducing them to tetrahedron diagrams with both massive and massless lines, whose finite parts were given analytically in a recent paper by Broadhurst. In the procedure of reduction, the method of integration-by-parts recurrence relations is employed. We use our result to compute the $ar{
m MS}$ effective potential of the massive $phi^4$ theory. | | Source: | arXiv, hep-th/0101098 | | Services: | Forum | Review | PDF | Favorites | |
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