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https://tsukuba.repo.nii.ac.jp/oai
oai:tsukuba.repo.nii.ac.jp:00028172
2022-08-23T07:09:22Z
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Chiral symmetry restoration, the eigenvalue density of the Dirac operator, and the axial U(1) anomaly at finite temperature
Aoki, Sinya
青木, 愼也
Fukaya, Hidenori
Taniguchi, Yusuke
谷口, 裕介
タニグチ, ユウスケ
open access
(c) 2012 American Physical Society
We reconsider constraints on the eigenvalue density of the Dirac operator in the chiral-symmetric phase of two-flavor QCD at finite temperature. To avoid possible ultraviolet divergences, we work on a lattice, employing the overlap Dirac operator, which ensures the exact “chiral” symmetry at finite lattice spacings. Studying multipoint correlation functions in various channels and taking their thermodynamical limit (and then taking the chiral limit), we obtain stronger constraints than those found in the previous studies: both the eigenvalue density at the origin and its first and second derivatives vanish in the chiral limit of two-flavor QCD. In addition, we show that the axial U(1) anomaly becomes invisible in susceptibilities of scalar and pseudoscalar mesons, suggesting that the second-order chiral phase transition with the O(4) scaling is not realized in two-flavor QCD. Possible lattice artifacts when the nonchiral lattice Dirac operator is employed are briefly discussed.
American Physical Society
2012-12
eng
journal article
VoR
http://hdl.handle.net/2241/118287
https://tsukuba.repo.nii.ac.jp/records/28172
https://doi.org/10.1103/PhysRevD.86.114512
2470-0010
AA00773624
Physical review D
86
11
114512
https://tsukuba.repo.nii.ac.jp/record/28172/files/PRD_86-11.pdf
application/pdf
440.7 kB
2013-12-25