arXiv 1107.03182011-07hep-thastro-ph.COgr-qchep-ph

Chern-Simons暴胀与重子生成

Chern-Simons Inflation and Baryogenesis

Stephon Alexander, Antonino Marciano, David Spergel

备注：: 20 pages, matches JCAP version

摘要：

我们提出了一个基于U（1）规范场的均匀各向同性组态与费米子电荷密度$\mathcal{J}_{0}$之间相互作用的暴胀模型。利用Koksma和Prokleman \cite{Koksma:2009tc}的方法从Bunch-Davies真空态产生了受调节的费米子电荷密度，并发现其红移为$1/a(η)$ .规范场的类时分量来源于费米子荷，导致规范场$A(η)_{0}\sim a(η)$的增长。因此，暴胀是由规范场和费米子电荷相互作用所包含的能量密度决定的，$A_{0}\, \mathcal{J}^{0}$在暴胀过程中保持不变。我们还提供了一个机制，产生净轻子不对称性。赝标量与Chern-Simons项的耦合将规范场的涨落转化为轻子数，并且在暴胀过程中满足所有三个Sahkarov条件。最后，赝标量场在其最小值附近的快速振荡使规范场热化，从而结束暴胀。我们给出了规范场和费米子荷同时产生足够的e折叠和重子非对称指数的必要初始条件。

英文摘要：

We present a model of inflation based on the interaction between a homogeneous and isotropic configuration of a U(1) gauge field and fermionic charge density $\mathcal{J}_{0}$. The regulated fermionic charge density is generated from a Bunch-Davies vacuum state using the methods of Koksma and Prokopec \cite{Koksma:2009tc}, and is found to redshift as $1/a(η)$. The time-like component of gauge field is sourced by the fermionic charge leading to a growth in the gauge field $A(η)_{0}\sim a(η)$. As a result inflation is dominated by the energy density contained in the gauge field and fermionic charge interaction, $A_{0}\, \mathcal{J}^{0}$, which remains constant during inflation. We also provide a mechanism to generate a net lepton asymmetry. The coupling of a pseudo scalar to the Chern-Simons term converts the gauge field fluctuations into lepton number and all three Sahkarov conditions are satisfied during inflation. Finally, the rapid oscillation of the pseudo scalar field near its minimum thermalizes the gauge field and ends inflation. We provide the necessary initial condition on the gauge field and fermionic charge to simultaneously generate enough e-folds and baryon asymmetry index.

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