arXiv 2108.083362021-08-18hep-phastro-ph.CO

考虑热修正的电弱重子产生的CP破坏输运理论

CP-violating transport theory for Electroweak Baryogenesis with thermal corrections

Kimmo Kainulainen

备注：: 48 pages, 7 figures
DOI：: 10.1088/1475-7516/2021/11/042

摘要：

我们从CTP形式主义出发，在单圈水平上考虑了热修正，导出了电弱重子生成中费米子的CP破坏输运方程。我们考虑VEV插入近似（VIA）和半经典（SC）形式主义。我们表明，VIA方法是基于{ \em假设}，导致一个不明确的源项包含一个捏奇异性，其正则化的热效应导致模糊性，包括虚假的紫外和红外发散。然后，我们仔细审查半经典形式主义的推导，并将其扩展到包括热修正。我们提出的半经典玻尔兹曼方程的热WKB准粒子的源项高达二阶梯度，包含色散和有限宽度的修正。我们还表明，SC-方法再现当前的发散方程，并正确实施的菲克定律捕获半经典源项，即使与保守的总电流$\partial_μj^μ= 0$。我们的研究结果表明，VIA源项不仅是模糊的，但它并不存在。最后，我们表明，碰撞源项在半经典文献中的早期报道也是虚假的，并消失在一个一致的计算。

英文摘要：

We derive CP-violating transport equations for fermions for electroweak baryogenesis from the CTP-formalism including thermal corrections at the one-loop level. We consider both the VEV-insertion approximation (VIA) and the semiclassical (SC) formalism. We show that the VIA-method is based on an {\em assumption} that leads to an ill-defined source term containing a pinch singularity, whose regularisation by thermal effects leads to ambiguities including spurious ultraviolet and infrared divergences. We then carefully review the derivation of the semiclassical formalism and extend it to include thermal corrections. We present the semiclassical Boltzmann equations for thermal WKB-quasiparticles with source terms up to the second order in gradients that contain both dispersive and finite width corrections. We also show that the SC-method reproduces the current divergence equations and that a correct implementation of the Fick's law captures the semiclassical source term even with conserved total current $\partial_μj^μ= 0$. Our results show that the VIA-source term is not just ambiguous, but that it does not exist. Finally, we show that the collisional source terms reported earlier in the semiclassical literature are also spurious, and vanishes in a consistent calculation.

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英文摘要：

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