摘要翻译:
从边界条件可积的条带上定义的Ising模型的晶格A3$实现出发,利用TBA技术导出了连续极限下所有局部运动积分的精确谱(包括激发态)。在UV$C=1/2$共形不动点和大质量IR理论之间,也可以追踪该光谱的大质量流动。这种运动积分的本征态在Virasoro模下的UV表达式只有有理系数,它们的费米子表示与描述光谱的量子数简单相关。
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英文标题:
《On the Integrable Structure of the Ising Model》
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作者:
Alessandro Nigro
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
Starting from the lattice $A_3$ realization of the Ising model defined on a strip with integrable boundary conditions, the exact spectrum (including excited states) of all the local integrals of motion is derived in the continuum limit by means of TBA techniques. It is also possible to follow the massive flow of this spectrum between the UV $c=1/2$ conformal fixed point and the massive IR theory. The UV expression of the eigenstates of such integrals of motion in terms of Virasoro modes is found to have only rational coefficients and their fermionic representation turns out to be simply related to the quantum numbers describing the spectrum.
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PDF链接:
https://arxiv.org/pdf/710.4213