小体积上QCD离散对称性的自发破缺
Spontaneous breaking of discrete symmetries in QCD on a small volume
摘要:
在具有非平凡圈的紧致空间中,对于足够小的紧致维数,电荷共轭(C)、空间反射(P)和时间反演(T)在QCD中自发破缺。对称破缺的序参量是威尔逊线在紧维上的迹线,它在破缺相位中获得虚部。我们表明,对称性破缺的物理签名是一个持续的重子流包裹在紧凑的方向。这种电流的存在是在一阶微扰理论中解析推导出来的,并在非微扰状态下通过晶格模拟得到证实。
英文摘要:
In a compact space with non-trivial cycles, for sufficiently small values of the compact dimensions, charge conjugation (C), spatial reflection (P) and time reversal (T) are spontaneously broken in QCD. The order parameter for the symmetry breaking is the trace of the Wilson line wrapping around the compact dimension, which acquires an imaginary part in the broken phase. We show that a physical signature for the symmetry breaking is a persistent baryonic current wrapping in the compact directions. The existence of such a current is derived analytically at first order in perturbation theory and confirmed in the non-perturbative regime by lattice simulations.
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