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arXiv 0811.3026hep-lat
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自由畴壁费米子的热力学

Thermodynamics of free Domain Wall fermions

R. V. Gavai, Sayantan Sharma

备注：
11 pages, 15 figures included
发表信息：
Phys.Rev.D79:074502,2009
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摘要：

研究了有限和无限五维范围N_5下自由畴壁费米子的各种热力学量，发现当无关参数M在1.45-1.50范围内时，$N_T\geq10$的晶格修正对能量密度和磁化率都是最小的。然而，对于小晶格尺寸的$N_T\leq8$，校正项相当大。我们提出了对畴壁算符和重叠算符的修正，使有限截止效应减小到目前所用的N_T=6-8晶格热力学量的连续结果的10%以内。通过对化学势的简化，我们证明了尽管$μ\neq0$的手征对称性被破缺，但对于一大类畴壁费米子作用，μ^2发散是不存在的。

英文摘要：

Studying various thermodynamic quantities for the free domain wall fermions for both finite and infinite fifth dimensional extent N_5, we find that the lattice corrections are minimum for $N_T\geq10$ for both energy density and susceptibility, for its irrelevant parameter M in the range 1.45-1.50. The correction terms are, however, quite large for small lattice sizes of $N_T\leq8$. We propose modifications of the domain wall operator, as well as the overlap operator, to reduce the finite cut-off effects to within 10% of the continuum results of the thermodynamic quantities for the currently used N_T=6-8 lattices. Incorporating chemical potential, we show that μ^2 divergences are absent for a large class of such domain wall fermion actions although the chiral symmetry is broken for $μ\neq0$.

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