论文标题
超越对称性:横向病房的异常 - 塔卡哈西身份
Beyond Symmetries : Anomalies in Transverse Ward--Takahashi Identities
论文作者
论文摘要
研究了横向病房中的异常 - 塔卡哈西身份,从而讨论了一般非对称病房 - 塔卡哈西身份的异常的可行性。我们采用流行的藤川方法和严格的维数重归其化,以验证单循环和任何循环顺序的横向异常的存在。揭示了横向异常系数的任意性,并且在将横向异常与施温格项相关联并比较对称和非对称异常之后,也提出了出路。审查了声称横向异常不存在的论文,以发现其方法中隐藏的异常情况。讨论了横向异常的作用。
Anomalies in transverse Ward--Takahashi identities are studied, allowing discussion of the feasibility of anomalies arising in general non-symmetry Ward--Takahashi identities. We adopt the popular Fujikawa's method and rigorous dimensional renormalization to verify the existence of transverse anomalies to one-loop order and any loop order, respectively. The arbitrariness of coefficients of transverse anomalies is revealed, and a way out is also proposed after relating transverse anomalies to Schwinger terms and comparing symmetry and non-symmetry anomalies. Papers that claim the non-existence of transverse anomalies are reviewed to find anomalies hidden in their approaches. The role played by transverse anomalies is discussed.