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arXiv 0810.3866hep-lat
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由交错薛定谔泛函得到的费米关联函数

Fermionic correlation functions from the staggered Schrödinger functional

P. Perez-Rubio, S. Sint

摘要:

本文研究了尺寸为$(L/a)^3 \times (T/a)$的细晶格上的单分量费米子交错薛定谔泛函,其中$T/a$必须是奇数。为了重建四分量旋量,提出了两种不同的设置,对应于具有尺寸$(L/2a)^3 \times (T'/2a)$的粗晶格,具有$T' = T \pm a$。然后将连续极限定义为固定的$T'/L$。这两种情况以前都在纯规范理论中研究过。本文定义了费米子关联函数,研究了它们在微扰理论的树水平上接近连续极限的情况。

英文摘要:

We consider the Schrödinger functional with staggered one-component fermions on a fine lattice of size $(L/a)^3 \times (T/a)$ where $T/a$ must be an odd number. In order to reconstruct the four-component spinors, two different set-ups are proposed, corresponding to the coarse lattice having size $(L/2a)^3 \times (T'/2a)$, with $T' = T \pm a$. The continuum limit is then defined at fixed $T'/L$. Both cases have previously been investigated in the pure gauge theory. Here we define fermionic correlation functions and study their approach to the continuum limit at tree-level of perturbation theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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