Analytical Formulae linking Quark Confinement and Chiral Symmetry Breaking*
Dirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on these analytical relations. It is semi-analytically and num...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2016-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/201612604016 |
| _version_ | 1818589560744968192 |
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| author | Doi Takahiro M. Redlich Krzysztof Sasaki Chihiro Suganuma Hideo |
| author_facet | Doi Takahiro M. Redlich Krzysztof Sasaki Chihiro Suganuma Hideo |
| author_sort | Doi Takahiro M. |
| collection | DOAJ |
| description | Dirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on these analytical relations. It is semi-analytically and numerically found that the low-lying Dirac eigenmodes have little contribution to the Polyakov loop fluctuations, which are sensitive probe for the quark deconfinement. Our results suggest no direct one-to-one corresponding between quark confinement and chiral symmetry breaking in QCD. |
| first_indexed | 2024-12-16T09:42:36Z |
| format | Article |
| id | doaj.art-94c32b30d0964da2baba779d2cad1f9c |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-16T09:42:36Z |
| publishDate | 2016-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-94c32b30d0964da2baba779d2cad1f9c2022-12-21T22:36:14ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011260401610.1051/epjconf/201612604016epjconf_icnfp2016_04016Analytical Formulae linking Quark Confinement and Chiral Symmetry Breaking*Doi Takahiro M.0Redlich KrzysztofSasaki ChihiroSuganuma Hideo1Department of Physics, Kyoto UniversityDepartment of Physics, Kyoto UniversityDirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on these analytical relations. It is semi-analytically and numerically found that the low-lying Dirac eigenmodes have little contribution to the Polyakov loop fluctuations, which are sensitive probe for the quark deconfinement. Our results suggest no direct one-to-one corresponding between quark confinement and chiral symmetry breaking in QCD.http://dx.doi.org/10.1051/epjconf/201612604016 |
| spellingShingle | Doi Takahiro M. Redlich Krzysztof Sasaki Chihiro Suganuma Hideo Analytical Formulae linking Quark Confinement and Chiral Symmetry Breaking* EPJ Web of Conferences |
| title | Analytical Formulae linking Quark Confinement and Chiral Symmetry Breaking* |
| title_full | Analytical Formulae linking Quark Confinement and Chiral Symmetry Breaking* |
| title_fullStr | Analytical Formulae linking Quark Confinement and Chiral Symmetry Breaking* |
| title_full_unstemmed | Analytical Formulae linking Quark Confinement and Chiral Symmetry Breaking* |
| title_short | Analytical Formulae linking Quark Confinement and Chiral Symmetry Breaking* |
| title_sort | analytical formulae linking quark confinement and chiral symmetry breaking |
| url | http://dx.doi.org/10.1051/epjconf/201612604016 |
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