Sign problem and the chiral spiral on the finite density lattice
Sign problem and the chiral spiral on the finite density lattice
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有限密度格子上的符号问题和手性螺旋
DOI：
10.1103/physrevd.89.014508
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发表时间：
2014
影响因子：
5
通讯作者：
Yoshimasa Hidaka
中科院分区：
文献类型：
--
作者：
Ryutaro Fukuda;Kenji Fukushima;Tomoya Hayata;Yoshimasa Hidaka
研究了（）维有限重子密度下费米子行列式的符号问题，其中手性极限下的基态应通过形成手性螺旋来摆脱符号问题。为了证实这一点，我们在单环水平上对连续统理论中的费米子行列式进行了计算，并发现行列式如预期的那样变为实数。然而，实现化学势的传统晶格公式与螺旋变换不相容。讨论了有限密度公式的一种替代形式，并对有限密度晶格上的手性螺旋进行了数值验证。
We investigate the sign problem of the fermion determinant at finite baryon density in () dimensions, in which the ground state in the chiral limit should be free from the sign problem by forming a chiral spiral. To confirm it, we evaluate the fermion determinant in the continuum theory at the one-loop level and find that the determinant becomes real as expected. The conventional lattice formulation to implement a chemical potential is, however, not compatible with the spiral transformation. We discuss an alternative of the finite-density formulation and numerically verify the chiral spiral on the finite density lattice.