Two-kink bound states in the magnetically perturbed Potts field theory at T < Tc
Two-kink bound states in the magnetically perturbed Potts field theory at T < Tc
复制标题
T < Tc 时磁扰动波兹场理论中的两扭结束缚态
DOI：
10.1088/1751-8113/43/23/235004
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
S. Rutkevich
中科院分区：
文献类型：
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作者：
S. Rutkevich
在弱磁场h存在的情况下，研究了低温相为2 <$q <$4的q态Potts场论.在没有磁场的情况下，该理论是可积的，但在q > 2时不是自由的：它的基元激发-扭结-在小距离处相互作用，它们的相互作用可以由Chim和Zamolodchikov发现的可因子化散射矩阵来表征。磁场诱导扭结之间的长程吸引力，导致它们被限制在束缚态。我们计算了在h → ±0时的首阶双扭结束缚态的质量，并将它们表示为h = 0时扭结的散射矩阵。
The q-state Potts field theory with 2 ⩽ q ⩽ 4 in the low-temperature phase is considered in the presence of a weak magnetic field h. In the absence of the magnetic field, the theory is integrable, but not free at q > 2: its elementary excitations—the kinks—interact at small distances, and their interaction can be characterized by the factorizable scattering matrix which was found by Chim and Zamolodchikov. The magnetic field induces long-range attraction between kinks causing their confinement into the bound states. We calculate the masses of the two-kink bound states in the leading order in h → ±0 expressing them in terms of the scattering matrix of kinks at h = 0.