Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD
Within the framework of Dyson–Schwinger equations of QCD, we study the finite volume effects on the chiral phase transition, especially the influence on the position of the possible pseudo-critical end point (pCEP). The results show that in the chiral limit case (the current quark mass m=0), the abs...
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| Format: | Article |
| Language: | English |
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Elsevier
2019-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321318303316 |
| _version_ | 1817984185843843072 |
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| author | Bo-Lin Li Zhu-Fang Cui Bo-Wen Zhou Sun An Li-Ping Zhang Hong-Shi Zong |
| author_facet | Bo-Lin Li Zhu-Fang Cui Bo-Wen Zhou Sun An Li-Ping Zhang Hong-Shi Zong |
| author_sort | Bo-Lin Li |
| collection | DOAJ |
| description | Within the framework of Dyson–Schwinger equations of QCD, we study the finite volume effects on the chiral phase transition, especially the influence on the position of the possible pseudo-critical end point (pCEP). The results show that in the chiral limit case (the current quark mass m=0), the absolute value of quark condensate decreases for smaller volumes, and more interestingly, so does the pseudo-critical temperature Tc(μ=0), which is in agreement with the Polyakov Nambu–Jona-Lasinio model result and opposite to the Polyakov linear sigma model prediction. These conclusions hold for m>0 case in our calculations. Moreover, the results of pCEP as a function of different volumes show that T of pCEP also decreases for smaller volumes, but μ of pCEP will increase, which are qualitatively more close to Polyakov linear sigma model results. For our model setup, results for systems with a size larger than (5 fm)3 closely approximate those from infinite volume, but if the volume is smaller, the corrections are non-negligible, even significantly affect signatures of the results from an infinite system. There also exists some possibility that, if the system size is too small, the whole phase transition would be crossover, which means no pCEP exists at all. It is no doubt that, finite volume effects deserve further researches. |
| first_indexed | 2024-04-13T23:42:21Z |
| format | Article |
| id | doaj.art-2d50fc9651b9427291bf8e5e6dd35ca2 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-13T23:42:21Z |
| publishDate | 2019-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-2d50fc9651b9427291bf8e5e6dd35ca22022-12-22T02:24:27ZengElsevierNuclear Physics B0550-32132019-01-01938298306Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCDBo-Lin Li0Zhu-Fang Cui1Bo-Wen Zhou2Sun An3Li-Ping Zhang4Hong-Shi Zong5College of Engineering and Applied Sciences, Nanjing University, Nanjing, Jiangsu 210093, China; Nanjing Proton Source Research and Design Center, Nanjing, Jiangsu 210093, China; Corresponding authors.Department of Physics, Nanjing University, Nanjing, Jiangsu 210093, China; Nanjing Proton Source Research and Design Center, Nanjing, Jiangsu 210093, China; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, China; Corresponding authors.College of Engineering and Applied Sciences, Nanjing University, Nanjing, Jiangsu 210093, China; Nanjing Proton Source Research and Design Center, Nanjing, Jiangsu 210093, ChinaCollege of Engineering and Applied Sciences, Nanjing University, Nanjing, Jiangsu 210093, China; Nanjing Proton Source Research and Design Center, Nanjing, Jiangsu 210093, China; Corresponding authors.Nanjing Proton Source Research and Design Center, Nanjing, Jiangsu 210093, China; Key Laboratory of Road Construction & Equipment of MOE, Chang'an University, Xi'an, Shanxi 710064, ChinaDepartment of Physics, Nanjing University, Nanjing, Jiangsu 210093, China; Nanjing Proton Source Research and Design Center, Nanjing, Jiangsu 210093, China; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, China; Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing, Jiangsu 210093, ChinaWithin the framework of Dyson–Schwinger equations of QCD, we study the finite volume effects on the chiral phase transition, especially the influence on the position of the possible pseudo-critical end point (pCEP). The results show that in the chiral limit case (the current quark mass m=0), the absolute value of quark condensate decreases for smaller volumes, and more interestingly, so does the pseudo-critical temperature Tc(μ=0), which is in agreement with the Polyakov Nambu–Jona-Lasinio model result and opposite to the Polyakov linear sigma model prediction. These conclusions hold for m>0 case in our calculations. Moreover, the results of pCEP as a function of different volumes show that T of pCEP also decreases for smaller volumes, but μ of pCEP will increase, which are qualitatively more close to Polyakov linear sigma model results. For our model setup, results for systems with a size larger than (5 fm)3 closely approximate those from infinite volume, but if the volume is smaller, the corrections are non-negligible, even significantly affect signatures of the results from an infinite system. There also exists some possibility that, if the system size is too small, the whole phase transition would be crossover, which means no pCEP exists at all. It is no doubt that, finite volume effects deserve further researches.http://www.sciencedirect.com/science/article/pii/S0550321318303316 |
| spellingShingle | Bo-Lin Li Zhu-Fang Cui Bo-Wen Zhou Sun An Li-Ping Zhang Hong-Shi Zong Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD Nuclear Physics B |
| title | Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD |
| title_full | Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD |
| title_fullStr | Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD |
| title_full_unstemmed | Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD |
| title_short | Finite volume effects on the chiral phase transition from Dyson–Schwinger equations of QCD |
| title_sort | finite volume effects on the chiral phase transition from dyson schwinger equations of qcd |
| url | http://www.sciencedirect.com/science/article/pii/S0550321318303316 |
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