论文标题
aharonov-bohm阶段的异常流动
Anomaly flow by an Aharonov-Bohm phase
论文作者
论文摘要
在量规统一（GHU）中，量规对称性在第五维中被Aharonov-bohm（AB）相动态打破。我们分析了$ su（2）$ ghu，其中$ su（2）$ doublet fermion in flat $ m^4 \ times（s^1/z_2）$ spacetime和randall-sundrum（rs）扭曲空间。使用Orbifold边界条件，$ u（1）$一部分对称的部分在$θ_H= 0 $和$π$的情况下保持不间断。 Fermion Multiplet的手性零模式在$θ_H= 0 $中，在$θ_H=π$中变得巨大。换句话说，手性费米子通过AB阶段$θ_H$转换为矢量般的费米子。 $θ_H= 0 $连续变化的手性异常随$θ_H$而变化，并且在$θ_H=π$中消失。我们在RS空间中证明了这种有趣的现象，在RS空间中，质谱中没有级别的交叉，并且一切都会顺利进行。平坦的时空极限是单数的，因为RS空间的广告曲率会减小，并在平坦的时空中再现结果。对于量规场的Kaluza-Klein激发模式的各种组合，出现异常。尽管异常的幅度取决于$θ_{h} $和RS空间的扭曲因子，但它不取决于费米昂字段的大量质量参数，从而控制其质量和波函数在一般$θ_H$上。
In gauge-Higgs unification (GHU), gauge symmetry is dynamically broken by an Aharonov-Bohm (AB) phase, $θ_H$, in the fifth dimension. We analyze $SU(2)$ GHU with an $SU(2)$ doublet fermion in flat $M^4 \times (S^1/Z_2)$ spacetime and in the Randall-Sundrum (RS) warped space. With orbifold boundary conditions the $U(1)$ part of gauge symmetry remains unbroken at $θ_H = 0$ and $π$. The fermion multiplet has chiral zero modes at $θ_H = 0$, which become massive at $θ_H = π$. In other words chiral fermions are transformed to vectorlike fermions by the AB phase $θ_H$. Chiral anomaly at $θ_H = 0$ continuously varies as $θ_H$ and vanishes at $θ_H=π$. We demonstrate this intriguing phenomenon in the RS space in which there occurs no level crossing in the mass spectrum and everything varies smoothly. The flat spacetime limit is singular as the AdS curvature of the RS space diminishes, and reproduces the result in the flat spacetime. Anomalies appear for various combinations of Kaluza-Klein excitation modes of gauge fields as well. Although the magnitude of anomalies depends on $θ_{H}$ and the warp factor of the RS space, it does not depend on the bulk mass parameter of the fermion field controlling its mass and wave function at general $θ_H$.
