Formfactor perturbation expansions and confinement in the Ising field theory
Formfactor perturbation expansions and confinement in the Ising field theory
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伊辛场理论中的形状因子扰动展开和限制
DOI：
10.1088/1751-8113/42/30/304025
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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
本文研究了在弱外磁场h中二维铁磁伊辛场理论中的粒子谱Mn（h）。根据弱约束的吴和麦考伊方案，对费米子（畴壁）耦合到玻色扭结-反扭结束缚态在小h > 0。超过两个费米子的涨落也对复合粒子的波函数有贡献，导致对它们的质量Mn（h）在h中更高阶的多费米子修正。我们描述了一个微扰的过程，这使我们能够同时考虑多费米子波动和费米子之间的长程约束相互作用，并导致模型的重整化参数的形状因子展开。我们得到了质量Mn（h）的三阶多费米子修正的积分表示，它是由Bethe-Salpeter方程核的正则修正引起的.
We study the particle spectrum Mn(h) in the two-dimensional ferromagnetic Ising field theory in a weak external magnetic field h. According to the Wu and McCoy scenario of the weak confinement, pairs of fermions (domain walls) are coupled into bosonic kink–antikink bound states at small h > 0. Fluctuations with more than two fermions also contribute to the wavefunctions of the compound particles, leading to multi-fermion corrections to their masses Mn(h) in higher orders in h. We describe a perturbative procedure, which allows us to account for both multi-fermion fluctuations and the long-range confining interaction between fermions, and leads to the formfactor expansions for the renormalized parameters of the model. We obtain integral representations for the third-order multi-fermion correction to the mass Mn(h), which arises from the regular correction to the kernel of the Bethe–Salpeter equation.