Holomorphic effective potential in general chiral superfield model

Details Holomorphic effective potential in general chiral superfield model Holomorphic effective potential in general chiral superfield model

1999-05-10

arxiv.org/abs/hep-th/9905062v1

Phys.Lett. B461 (1999) 209-217

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pages

Scientific paper

10.1016/S0370-2693(99)00842-4

We study a holomorphic effective potential $W_{eff}(\Phi)$ in chiral superfield model defined in terms of arbitrary k\"{a}hlerian potential $K(\bar{\Phi},\Phi)$ and arbitrary chiral potential $W(\Phi)$. Such a model naturally arises as an ingredient of low-energy limit of superstring theory and it is called here the general chiral superfield model. Generic procedure for calculating the chiral loop corrections to effective action is developed. We find lower two-loop correction in the form $W^{(2)}_{eff}(\Phi)= 6/(4\pi)^4 \bar{W}^{'''2}(0){(\frac{W^{''}(\Phi)}{K^2_{\Phi\bar{\Phi}(0,\Phi)}})}^3$ where $K_{\Phi\bar{\Phi}}(0,\Phi)=\frac{\partial^2 K(\bar{\Phi},\Phi)} {\partial\Phi\partial\bar{\Phi}}|_{\bar{\Phi}=0}$ and $\zeta(x)$ be Riemannian zeta-function. This correction is finite at any $K(\bar{\Phi},\Phi), W(\Phi)$.

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