Anomaly flow by an Aharonov-Bohm phase
Anomaly flow by an Aharonov-Bohm phase
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DOI：
10.1093/ptep/ptac052
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发表时间：
2022-02
期刊：
影响因子：
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通讯作者：
Shuichiro Funatsu;H. Hatanaka;Y. Hosotani;Yuta Orikasa;Naoki Yamatsu
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文献类型：
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作者：
Shuichiro Funatsu;H. Hatanaka;Y. Hosotani;Yuta Orikasa;Naoki Yamatsu
在规范-希格斯统一（GHU）中，规范对称性在第五维中被阿哈罗诺夫-玻姆（AB）相θH动态破缺。我们在平坦的M4×（S/Z2）时空和RandallSundrum（RS）弯曲空间中分析了SU（2）GHU和SU（2）对偶费米子。在轨道重边界条件下，规范对称的U（1）部分在θH = 0和π处保持不破缺。费米子多重态在θH = 0时有手征零模，在θH = π时变得有质量。换句话说，手征费米子被AB相θH转化为矢量类费米子。θH = 0时的手征反常随θH连续变化，在θH = π时消失.我们证明了这一有趣的现象，在RS空间中，没有发生水平交叉的质谱和一切变化顺利。当RS空间的AdS曲率减小时，平坦时空极限是奇异的，并且在平坦时空中再现了结果。异常出现的各种组合的卡鲁扎-克莱因规范场的激发模式以及。尽管反常的大小取决于θH和RS空间的弯曲因子，但它不取决于费米子场的体质量参数，该参数控制其在一般θH处的质量和波函数。ar X iv：2 20 2. 01 39 3v 3 [ he pph ] 1 1 M ar 2 02 2
In gauge-Higgs unification (GHU), gauge symmetry is dynamically broken by an Aharonov-Bohm (AB) phase, θH , in the fifth dimension. We analyze SU(2) GHU with an SU(2) doublet fermion in flat M4× (S/Z2) spacetime and in the RandallSundrum (RS) warped space. With orbifold boundary conditions the U(1) part of gauge symmetry remains unbroken at θH = 0 and π. The fermion multiplet has chiral zero modes at θH = 0, which become massive at θH = π. In other words chiral fermions are transformed to vectorlike fermions by the AB phase θH . Chiral anomaly at θH = 0 continuously varies as θH and vanishes at θH = 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 θH 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 θH . ar X iv :2 20 2. 01 39 3v 3 [ he pph ] 1 1 M ar 2 02 2