arXiv 0904.34792009-04-22hep-thhep-lat

U（N）和SU（N）规范理论中的离散对称破缺和重子流

Discrete symmetry breaking and baryon currents in U(N) and SU(N) gauge theories

Biagio Lucini, Agostino Patella

备注：: 7 pages, using RevTeX4
发表信息：: Phys.Rev.D79:125030,2009
DOI：: 10.1103/PhysRevD.79.125030

摘要：

在SU（$N$）规范理论中，费米子在基本表示或在至少有一个紧致维的流形上用非平凡完整性表示的双指标（对称或反对称）表示中，对于$N$的某些值，离散对称性$C$、$P$和$T$在紧致方向的足够小的尺寸处破缺。我们证明了对于那些处于破缺相的$N$，存在一个非零的重子流在紧致方向上的包裹，这为$C$，$P$和$T$的破缺提供了一个可测量的观测量.我们证明，在所有的情况下，目前是缺席有没有打破这些离散对称性。这包括SU（$N$）规范理论在对称或反对称费米子下的极限$N \to \infty$，以及U（$N$）规范理论在任何$N$值下的极限。我们认为，由于洛伦兹不变性的破缺，重子流在紧致方向上的分量是$C$、$P$和$T$破缺的物理序参量。

英文摘要：

In SU($N$) gauge theories with fermions in the fundamental or in a two-index (either symmetric or antisymmetric) representation formulated on a manifold with at least one compact dimension with non-trivial holonomy the discrete symmetries $C$, $P$ and $T$ are broken at small enough size of the compact direction(s) for certain values of $N$. We show that for those $N$ in the broken phase a non-zero baryon current wrapping in the compact direction exists, which provides a measurable observable for the breaking of $C$, $P$ and $T$. We prove that in all cases where the current is absent there is no breaking of those discrete symmetries. This includes the limit $N \to \infty$ of the SU($N$) gauge theory with symmetric or antisymmetric fermions and U($N$) gauge theory at any value of $N$. We then argue that the component of the baryon current in the compact direction is the physical order parameter for $C$, $P$ and $T$ breaking due to the breaking of Lorentz invariance.

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英文摘要：

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