标题： 第一形式的爱因斯坦-嘉当理论的重整化 显示英文标题

标题： Renormalization of the Einstein-Cartan Theory in First-Order Form

摘要： 我们研究一阶形式的爱因斯坦-卡坦（EC）理论，该理论具有微分同胚以及局部洛伦兹不变性。 我们在巴塔林-维克多夫斯基形式框架下研究该理论的可重整化性，该框架允许进行规范不变的重整化。 使用背景场方法，我们讨论背景有效作用量的规范不变性，并分析反映EC理论对称性的Ward恒等式。 作为应用，我们在一般背景规范下计算了在单环阶次下四维场的自能。 显示英文摘要

摘要： We examine the Einstein-Cartan (EC) theory in first-order form, which has a diffeomorphism as well as a local Lorentz invariance. We study the renormalizability of this theory in the framework of the Batalin-Vilkovisky formalism, which allows for a gauge invariant renormalization. Using the background field method, we discuss the gauge invariance of the background effective action and analyze the Ward identities which reflect the symmetries of the EC theory. As an application, we compute, in a general background gauge, the self-energy of the tetrad field at one-loop order.