Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-06-12
Phys.Rev. D56 (1997) 5218-5232
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, LaTex file, no figures
Scientific paper
10.1103/PhysRevD.56.5218
In this paper we first investigate the Ansatz of one of the present authors for K(\Psi,\bar\Psi), 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,\bar\Psi) 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,\bar\Psi) 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.
Bellisai Diego
Fucito Francesco
Matone Marco
Travaglini Gabriele
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