期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2021)271
关键词
Anomalies in Field and String Theories; Global Symmetries; Space-Time Symmetries
资金
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [415803368, 406116891, RTG 2522/1]
- UNLP [X909]
In this study, the trace anomaly for Weyl fermions was revisited using dimensional regularization. It was found that the parity-odd contribution vanishes, while the parity-even contribution is half that of a Dirac fermion. The full renormalized expectation value of the fermion stress tensor to second order in perturbations around Minkowski spacetime was computed, confirming its conservation.
We revisit the computation of the trace anomaly for Weyl fermions using dimensional regularization. For a consistent treatment of the chiral gamma matrix gamma (*) in dimensional regularization, we work in n dimensions from the very beginning and use the Breitenlohner-Maison scheme to define gamma (*). We show that the parity-odd contribution to the trace anomaly vanishes (for which the use of dimension-dependent identities is crucial), and that the parity-even contribution is half the one of a Dirac fermion. To arrive at this result, we compute the full renormalized expectation value of the fermion stress tensor to second order in perturbations around Minkowski spacetime, and also show that it is conserved.
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