The holographic dark energy model is one of the important ways for dealing with the dark energy problems in the quantum gravity framework. In this model, the dimensionless parameter c plays an essential role in determining the evolution of the holographic dark energy. In particular, the holographic dark energy with c >= 1 can be effectively described by a quintessence scalar-field. However, according to the requirement of the weak gravity conjecture the variation of the quintessence scalar-field should be less than the Planck mass, which would give theoretic constraints on the parameters c and Omega(m0). Therefore, we get the possible theoretical limits on the parameter c for the holographic quintessence model. (C) 2008 Elsevier B.V. All rights reserved.
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