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26 April 2024 |
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Non-holomorphic terms in N=2 SUSY Wilsonian actions and RG equation | | Diego Bellisai
; Francesco Fucito
; Marco Matone
; Gabriele Travaglini
; | | Date: |
12 Jun 1997 | | Journal: | Phys.Rev. D56 (1997) 5218-5232 | | Subject: | hep-th | | Affiliation: | Rome Tor Vergata U.), Francesco Fucito (INFN, Roma2), Marco Matone (Padova U. and INFN, Padova) and Gabriele Travaglini (Rome La Sapienza U. and INFN, Roma2 | | Abstract: | In this paper we first investigate the Ansatz of one of the present authors for K(Psi,arPsi), the adimensional modular invariant non-holomorphic correction to the Wilsonian effective Lagrangian of an N=2 globally supersymmetric gauge theory. The renormalisation group beta-function of the theory crucially allows us to express K(Psi,arPsi) in a form that easily generalises to the case in which the theory is coupled to N_F hypermultiplets in the fundamental representation of the gauge group. This function satisfies an equation which should be viewed as a fully non-perturbative ``non-chiral superconformal Ward identity". We also determine its renormalisation group equation. Furthermore, as a first step towards checking the validity of this Ansatz, we compute the contribution to K(Psi,arPsi) from instantons of winding number k=1 and k=2. As a by-product of our analysis we check a non-renormalisation theorem for N_F=4. | | Source: | arXiv, hep-th/9706099 | | Other source: | [GID 998739] hep-th/9706099 | | Services: | Forum | Review | PDF | Favorites | |
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