标题： 具有挠率的异常诱导真空有效作用：协变解和歧义 显示英文标题

标题： Anomaly-induced vacuum effective action with torsion: covariant solution and ambiguities

摘要： 在具有反对称挠率的弯曲时空中的共形异常被重新考虑，并且考虑了新的重要细节。 我们首次制定了异常诱导的有效作用量的协变解。 协变的有效作用量包括对应于共形异常中总导数的局部项。 这些项中无质量费米子的贡献由乘法异常表征，该异常来自旋子算符两次不同的加倍选择。 另一方面，异常诱导作用量的非局部部分没有歧义，并且允许一个低能极限，类似于度规-标量理论中的有效势。 显示英文摘要

摘要： The conformal anomaly in curved spacetime with antisymmetric torsion is reconsidered, taking into account new important details. We formulate, for the first time, the covariant solution of the anomaly-induced effective action. The covariant effective action includes local terms corresponding to total derivatives in the conformal anomaly. The contribution of massless fermions to these terms is characterized by multiplicative anomaly, coming from two different choices of doubling for the spinor operator. On the other hand, the nonlocal part of anomaly-induced action is free of ambiguities and admits a low-energy limit, similar to the effective potential in the metric-scalar theory.