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arXiv 2004.10628hep-phgr-qchep-th
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树级CPT破坏的轻子发生中的曲率和热修正

Curvature and thermal corrections in tree-level CPT-Violating Leptogenesis

Nick E. Mavromatos, Sarben Sarkar

摘要:

在一个基于Lorentz和CPT对称性自发破缺的leptogenesis模型中[1-3],我们研究了在含有宇宙时间相关(或等价地,温度相关)Kalb-Ramond(KR)背景的Friedmann-Lemaitre-Robertson-Walker时空中传播的自由自旋-(1/2)Dirac(或Majorana)费米子场的平面波近似解的一致性。对于leptogenesis相关的参数范围内,我们的分析充分证明了在我们的研究leptogenesis与玻尔兹曼方程的平面波解的使用,时空曲率引起的任何校正是可以忽略不计的。我们还进一步阐述了轻子不对称性是如何传递到重子扇区的。我们证明了KR背景(KRB)并没有贡献的异常方程,确定重子不对称性a)通过三角形费曼图的显式评估和b)间接地,在拓扑的理由,通过识别KRB作为扭转(在有效的弦启发的低能引力场理论)。

英文摘要:

In a model for leptogenesis based on spontaneous breaking of Lorentz and CPT symmetry [1-3], we examine the consistency of using the approximation of plane-wave solutions for a free spin-(1/2) Dirac (or Majorana) fermion field propagating in a Friedmann-Lemaitre-Robertson-Walker space time augmented with a cosmic time-dependent (or, equivalently, a temperature-dependent) Kalb-Ramond (KR) background. For the range of parameters relevant for leptogenesis, our analysis fully justifies the use of plane-wave solutions in our study of leptogenesis with Boltzmann equations; any corrections induced by space-time-curvature are negligible. We also elaborate further on how the lepton asymmetry is communicated to the Baryon sector. We demonstrate that the KR background (KRB) does not contribute to the anomaly equations that determine the baryon asymmetry a) through an explicit evaluation of a triangle Feynman graph and b) indirectly, on topological grounds, by identifying the KRB as torsion (in the effective string-inspired low energy gravitational field theory).

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