THE LOOP COSMOLOGICAL CONSTANT IN COMPACT SPACE S¹ AND MODULI SPACE F=C₊/SL(2,Z)

The one-loop string cosmological constant has been calculated by ξ functicn regularizing method. For Wess-Zumino a model, we find the bosonization temperature being less than the critical temperature in compact space S¹. The similar properties in moduli space C₊/SL(2, Z) are also discussed.