On the trace anomaly of a Weyl fermion
On the trace anomaly of a Weyl fermion
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外尔费米子的痕量异常
DOI：
10.1007/jhep11(2016)178
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发表时间：
2016
影响因子：
5.4
通讯作者：
R. Martelli
中科院分区：
文献类型：
--
作者：
F. Bastianelli;R. Martelli
本文用Fujikawa方法并辅以相容调节子计算了外尔费米子与引力耦合的迹反常。后者是由保利-维拉尔调节场建造的。提出这种计算的动机源于最近的研究，这些研究表明，四维手性费米子的痕量异常可能包含与庞特里亚金密度成比例的虚部。我们发现外尔费米子的迹线反常是狄拉克费米子的迹线反常的一半，所以没有虚部正比于庞特里亚金密度。
We calculate the trace anomaly of a Weyl fermion coupled to gravity by using Fujikawa’s method supplemented by a consistent regulator. The latter is constructed out of Pauli-Villars regulating fields. The motivation for presenting such a calculation stems from recent studies that suggest that the trace anomaly of chiral fermions in four dimensions might contain an imaginary part proportional to the Pontryagin density. We find that the trace anomaly of a Weyl fermion is given by half the trace anomaly of a Dirac fermion, so that no imaginary part proportional to the Pontryagin density is seen to arise.