English

Holomorphic effective potential in general chiral superfield model

High Energy Physics - Theory 2009-10-31 v1

Abstract

We study a holomorphic effective potential Weff(Φ)W_{eff}(\Phi) in chiral superfield model defined in terms of arbitrary k\"{a}hlerian potential K(Φˉ,Φ)K(\bar{\Phi},\Phi) and arbitrary chiral potential W(Φ)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 Weff(2)(Φ)=6/(4π)4Wˉ2(0)(W(Φ)KΦΦˉ(0,Φ)2)3W^{(2)}_{eff}(\Phi)= 6/(4\pi)^4 \bar{W}^{'''2}(0){(\frac{W^{''}(\Phi)}{K^2_{\Phi\bar{\Phi}(0,\Phi)}})}^3 where KΦΦˉ(0,Φ)=2K(Φˉ,Φ)ΦΦˉΦˉ=0K_{\Phi\bar{\Phi}}(0,\Phi)=\frac{\partial^2 K(\bar{\Phi},\Phi)} {\partial\Phi\partial\bar{\Phi}}|_{\bar{\Phi}=0} and ζ(x)\zeta(x) be Riemannian zeta-function. This correction is finite at any K(Φˉ,Φ),W(Φ)K(\bar{\Phi},\Phi), W(\Phi).

Keywords

Cite

@article{arxiv.hep-th/9905062,
  title  = {Holomorphic effective potential in general chiral superfield model},
  author = {I. L. Buchbinder and A. Yu. Petrov},
  journal= {arXiv preprint arXiv:hep-th/9905062},
  year   = {2009}
}

Comments

LaTeX, 10 pages

R2 v1 2026-07-22T16:15:20.844Z