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arXiv 0811.1887hep-phcond-mat.supr-conhep-lat
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QED3的有限体积效应和动力学手征对称性破缺

Finite volume effects and dynamical chiral symmetry breaking in QED3

Tobias Goecke, Christian S. Fischer, Richard Williams

摘要:

我们研究了有限体积效应对QED 3中手征对称性恢复的临界味数N_f^c的影响。为此,我们解决了一组耦合戴森-Schwinger方程的环面。对于序参量,如费米子波函数或手征凝聚体的异常尺寸,我们发现大量的证据对体积的依赖。我们观察到N_f^c从无限体积/连续极限的3.61 \le N_f^c \le 3.84范围内的值下降到有限体积的N_f \le 1.5以下的值,这与Gusynin和Reenders在更简单的截断方案中的早期结果一致。这些发现解释了连续介质和晶格研究中N_f^c的差异。

英文摘要:

We investigate the impact of finite volume effects on the critical number of flavours, N_f^c, for chiral symmetry restoration in QED3. To this end we solve a set of coupled Dyson-Schwinger equations on a torus. For order parameters such as the anomalous dimension of the fermion wave function or the chiral condensate we find substantial evidence for a large dependence on the volume. We observe a shift in N_f^c from values in the range of 3.61 \le N_f^c \le 3.84 in the infinite volume/continuum limit down to values below N_f \le 1.5 at finite volumes in agreement with earlier results of Gusynin and Reenders in a simpler truncation scheme. These findings explain discrepancies in N_f^c between continuum and lattice studies.

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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