标题： 爱因斯坦-希尔伯特引力，高阶导数和标量物质场 显示英文标题

标题： Einstein-Hilbert gravity, higher derivatives and a scalar matter field

摘要： 本文扩展了之前关于纯引力的两篇论文，这些论文涉及爱因斯坦-希尔伯特项和高阶导数，并包括一个无质量标量场作为物质的代表。我们研究了微扰理论的所有阶次的重整化，提供了斯拉沃夫-泰勒恒等式、对称偏微分方程，并推导了朗道规范下的有限性性质。结果表明，从一环开始由高阶导数产生的负范数态消失。 显示英文摘要

摘要： The present paper extends two previous one's on pure gravity dealing with Einstein-Hilbert and higher derivatives by including a massless scalar field as representative of matter. We study the renormalization to all orders of perturbation theory, provide the Slavnov-Taylor identity, symmetric partial differential equations and derive finiteness properties in the Landau gauge. It is shown that beginning with one-loop negative norm states originating from higher derivatives disappear.