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arXiv 1507.03006hep-thquant-ph
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全纯模型中的隐规范对称性

Hidden Gauge Symmetry in Holomorphic Models

Carlos A. Margalli, J. David Vergara

摘要:

研究了复全纯系统中隐藏的规范对称性的作用。为此,我们证明了任何全纯系统本质上都具有这种规范对称性。我们建立这种对称性是相关的柯西-黎曼方程,在这个意义上说,相关的约束是第一类约束的情况下,只有在潜在的全纯。由于复空间上的这种规范对称性,我们可以用几种方法确定规范条件,并从复相空间投影到实相空间。不同的投影在复相空间上是规范相关的,但在真实的物理相空间上不是直接相关的。

英文摘要:

We study the effect of a hidden gauge symmetry on complex holomorphic systems. For this purpose, we show that intrinsically any holomorphic system has this gauge symmetry. We establish that this symmetry is related to the Cauchy-Riemann equations, in the sense that the associated constraint is a first class constraint only in the case that the potential be holomorphic. As a consequence of this gauge symmetry on the complex space, we can fix the gauge condition in several ways and project from the complex phase-space to real phase space. Different projections are gauge related on the complex phase-space but are not directly related on the real physical phase-space.

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