论文标题

异常流动

Universality in Anomaly Flow

论文作者

Hosotani, Yutaka

论文摘要

Aharonov-bohm(AB)阶段$θ_H$在异常流中的普遍性显示在flat $ m^4 \ times(s^1/z_2)$ spacetime和randall-sundrum(rs)扭曲空间中。我们分析了$ su(2)$ gauge理论,并具有双重费米子。使用Orbifold边界条件,$ u(1)$一部分对称的部分在$θ_H= 0 $和$π$的情况下保持不间断。在RS空间中,手性异常随着$θ_H$的平稳变化。结果表明,与该异常流相关的异常系数以RS空间中紫外线和IR Branes在量规场的波函数的值表示。异常系数取决于$θ_H$,RS空间的扭曲因子以及费米子的Orbifold边界条件,而不在费米的批量参数。

Universality in anomaly flow by an Aharonov-Bohm (AB) phase $θ_H$ is shown in the flat $M^4 \times (S^1/Z_2)$ spacetime and in the Randall-Sundrum (RS) warped space. We analyze $SU(2)$ gauge theory with doublet fermions. With orbifold boundary conditions the $U(1)$ part of gauge symmetry remains unbroken at $θ_H = 0$ and $π$. Chiral anomalies smoothly vary with $θ_H$ in the RS space. It is shown that anomaly coefficients associated with this anomaly flow are expressed in terms of the values of the wave functions of gauge fields at the UV and IR branes in the RS space. The anomaly coefficients depend on $θ_H$, the warp factor of the RS space, and the orbifold boundary conditions for fermions, but not on the bulk mass parameters of fermions.

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