One Loop Calculation of SUSY Ward-Takahashi Identity on Lattice with Wilson Fermion
One Loop Calculation of SUSY Ward-Takahashi Identity on Lattice with Wilson Fermion
复制标题
威尔逊费米子一环计算格子上的SUSY Ward-Takahashi恒等式
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
Y. Taniguchi
中科院分区：
文献类型：
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作者：
Y. Taniguchi
对于N = 1超对称Yang-Mills理论（SYM），利用Wilson费米子在晶格上计算了对SUSY Ward-Takahashi恒等式的一个环修正。结果表明，在SUSY Ward-Takahashi恒等式中计算的加性质量修正与Curci和Veneziano提出的轴向U(1)R对称中的加性质量修正是一致的。SYM的两个重要对称性可以通过一次微调同时在连续体中恢复。晶格上SYM的剩余问题是如何将理论微调到被异常破坏的手性对称点。并对超电流的操作混合进行了研究。我们发现超电流只与与伽马痕迹异常有关的规范不变电流Tμ混合。
One loop correction to the SUSY Ward-Takahashi identity is calculated on lattice with Wilson fermion for the N = 1 supersymmetric Yang-Mills theory (SYM). It is shown that the additive mass correction calculated in the SUSY Ward-Takahashi identity coincide with that in the axial U(1)R symmetry as was suggested by Curci and Veneziano. Two important symmetries of the SYM can be recovered simultaneously in the continuum with a single fine tuning. The remaining problem of the SYM on lattice is how to fine tune the theory to the chiral symmetric point which is broken by anomaly.Operator mixing of the supercurrent are also investigated. We find that the supercurrent mixes only with a gauge invariant current Tμ which is related to the gamma-trace anomaly.