純量場驅使的暴漲理論正遭遇到嚴重的微調問題。其中一個問題來自於有效率的再加熱 (reheating) 需要暴漲子與物質的耦合。在一般的耦合方式下物質的量子漲落產生了於暴漲子位勢上的科爾曼-溫伯格修正項 (Coleman-Weinberg corrections)。對於一般的宇宙幾何而言這些修正項暨非受普朗克壓制的 (Planck-suppressed)，亦非度
規的局域泛函，以至於無法完全被消去。先前的研究表示，在德西特背景幾何 (deSitter background) 中這些位勢修正項為暴漲子與哈伯參數比率的複雜函數。然而其結果並不令人滿意。在這篇論文中我們考慮將暴漲子的導數部分與物質耦合。這導致了 k-本質 (k-essence) 模型，其中的修正項與非導數耦合情況下的修正項有著相似的
形式。其影響對費米物質而言傾向於延長暴漲的持續期間，而對純量物質而言則縮短了暴漲的持續期間。

Scalar-driven inflation suffers from severe fine-tuning problems. One problem arises from the fact that efficient reheating requires the inflaton-matter coupling. Quantum fluctuations of matter induce Coleman-Weinberg corrections to the inflaton potential for typical couplings. For a general cosmological geometry these corrections are neither Planck-suppressed nor local functional of metric that can not be fully subtracted. Previous studies showed that the potential corrections depend on complicated functions of ratio of the inflaton to the Hubble parameter on de Sitter background. However the consequence is not satisfying. In this
thesis we consider coupling the derivative part of inflaton to matter instead. It induces k-essence models with the corrections in the similar forms to the non-derivative coupling case.
The effects are that the inflation duration tends to be prolonged for fermion while it is shortened for scalars

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