论文标题
电气理论中的新型不稳定和CP违反
New types of instability and CP violation in electroweak theory
论文作者
论文摘要
众所周知，由于假想的无质量带电费用，在背景电磁场下，在背景电磁场下的对数奇异性折磨的schwinger机制受到了对数奇异的折磨。我们将奇异性分析扩展到了手性电动理论的更现实的情况，以表明零温度下的有效拉格朗日在背景仪表范围下表现出与$ \ ln（1/m_ν^2）$成正比的不稳定性，而$m_ν$ a $m_ν$是一个小中性质量。此外，有效的手性效率循环的拉格朗日包含违反的cp违反与背景规格字段成比例的零件，$ \ vec {e} _z \ cdot \ cdot \ cdot \ vec \ vec {b} _z $或$（\ vec {\ vec {e} {e} \ vec {e} _ {w^ - } \ cdot \ vec {b} _ {w^+}）/2 $。这带来了与标准粒子理论中CP违规和时间反转对称性违规的新来源，与夸克质量混合矩阵的Kobayashi-Maskawa相无关。然后，在有限温度$ t $下在有限温度下的热平衡行动在背景su（2）$ \ times $ u（1）量规场中自发断裂的相位。找到了更奇异的幂律行为$ \ propto（m_νt）^{ - 5/2} $，并且还包含违反术语的CP。 Majorana Neutrino的情况几乎满足了产生大量Lepton数字不对称性的所有必要条件，尽管由于可能发生这种情况的宇宙温度较低，但不一定可转换为Baryon不对称性。
It is known that the Schwinger mechanism of vector-like QED theory is afflicted by a logarithmic singularity under background electromagnetic field due to a hypothetical massless charged fermion. We extend singularity analysis to a more realistic case of the chiral electroweak theory, to show that the effective lagrangian under background gauge field at zero temperature exhibits a similar instability proportional to $\ln (1/m_ν^2)$ with $m_ν$ a small neutrino mass. Moreover, the effective lagrangian of chiral fermion loop contains CP violating pieces proportional to background gauge fields in odd powers of $\vec{E}_Z\cdot\vec{B}_Z$ or $(\vec{E}_{W^+}\cdot\vec{B}_{W^-}+ \vec{E}_{W^-}\cdot\vec{B}_{W^+})/2 $. This brings in a new source of CP violation and time-reversal symmetry violation in the standard particle theory independent of the Kobayashi-Maskawa phase of quark mass mixing matrix. The effective action in thermal equilibrium at finite temperature $T$ is then calculated under background SU(2)$\times $U(1) gauge fields in the spontaneously broken phase. An even more singular power-law behavior $\propto (m_ν T)^{-5/2}$ is found and it contains CP violating term as well. The case of Majorana neutrino satisfies almost all necessary conditions to generate a large lepton number asymmetry, though not necessarily convertible to a baryon asymmetry due to lower cosmic temperatures at which this may occur.
