∗-Trek II: ∗n operations, open Wilson lines and the Seiberg–Witten map
∗-Trek II: ∗n operations, open Wilson lines and the Seiberg–Witten map
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*-Trek II：*n 行动，开放威尔逊线和 Seiberg-Witten 地图
DOI：
10.1016/s0550-3213(01)00402-3
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Hong Liu
中科院分区：
文献类型：
--
作者：
Hong Liu
广义乘积（例如，n元操作）出现在讨论非对易规范理论的各个地方。其中包括非对易规范理论的单圈有效作用量、无质量闭弦模和开弦模之间的耦合，以及普通场和非对易杨-米尔斯场之间的塞伯格-威滕映射。我们建议，自然的方式来理解的操作是通过一个开放的威尔逊线扩展。我们建立了开Wilson线与量子算符之间的联系，并利用它（I）写出了非对易N =4 SYM理论中单圈F4项的规范不变有效作用量;（II）找到了平坦空间中非对易SYM模与无质量闭弦模之间的规范不变耦合;（III）提出了U（1）情形下Seiberg-Witten映射的封闭形式.
Generalizations of the ∗ -product (e.g., n-ary ∗noperations) appear in various places in the discussion of noncommutative gauge theories. These include the one-loop effective action of noncommutative gauge theories, the couplings between massless closed and open string modes, and the Seiberg–Witten map between the ordinary and noncommutative Yang–Mills fields. We propose that the natural way to understand the ∗noperations is through the expansion of an open Wilson line. We establish the connection between an open Wilson line and the ∗noperations and use it to (I) write down a gauge invariant effective action for the one-loop F4terms in the noncommutative N =4 SYM theory; (II) find the gauge invariant couplings between the noncommutative SYM modes and the massless closed string modes in flat space; (III) propose a closed form for the Seiberg–Witten map in the U(1) case.