临界稠密聚合物中对数表示的尺寸修正
Finite-size corrections for logarithmic representations in critical dense polymers
摘要:
我们研究(解析)有限尺寸修正稠密聚合物模型上的带扰动的临界哈密顿与不相关的运营商属于塔的身份。我们推广的扰动扩展,包括约旦细胞,并检查是否有限大小的校正是敏感的属性出现在共形谱中的不可分解的表示,特别是他们的不可分解参数。我们发现,在一阶,校正不依赖于这些参数,甚至也不存在约旦细胞。虽然修正本身不是普适的,但比值是普适的,并且通过共形微扰方法正确地再现到一阶。
英文摘要:
We study (analytic) finite-size corrections in the dense polymer model on the strip by perturbing the critical Hamiltonian with irrelevant operators belonging to the tower of the identity. We generalize the perturbation expansion to include Jordan cells, and examine whether the finite-size corrections are sensitive to the properties of indecomposable representations appearing in the conformal spectrum, in particular their indecomposability parameters. We find, at first order, that the corrections do not depend on these parameters nor even on the presence of Jordan cells. Though the corrections themselves are not universal, the ratios are universal and correctly reproduced by the conformal perturbative approach, to first order.
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