Influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal QED3
In this work, we quantitatively explore how a finite gauge boson mass affects dynamical mass generation and the chiral phase transition in thermal QED3. To this end, we numerically solve the Dyson–Schwinger equations by considering the contributions coming from the wave function renormalization and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-08-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723004102 |
| _version_ | 1797755095969955840 |
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| author | Pei-Lin Yin Heng Chen Jing Yu |
| author_facet | Pei-Lin Yin Heng Chen Jing Yu |
| author_sort | Pei-Lin Yin |
| collection | DOAJ |
| description | In this work, we quantitatively explore how a finite gauge boson mass affects dynamical mass generation and the chiral phase transition in thermal QED3. To this end, we numerically solve the Dyson–Schwinger equations by considering the contributions coming from the wave function renormalization and the spatial part of the boson propagator at first and then compute the chiral condensate and some of thermodynamic quantities. It is found that the wave function renormalization and the spatial part of the boson propagator are crucial for the numerical solutions of the dressing functions and the value of critical temperature. The behaviors of the thermodynamic quantities and the chiral condensate as a function of temperature consistently imply that the chiral phase transition is none other than a second order one. That critical temperature decreases with increasing gauge boson mass verifies that the gauge boson mass will weaken the interactions between fermions and so suppress dynamical mass generation. |
| first_indexed | 2024-03-12T17:41:58Z |
| format | Article |
| id | doaj.art-b67a9e192cf0494fbaffa811adfc17ed |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-12T17:41:58Z |
| publishDate | 2023-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-b67a9e192cf0494fbaffa811adfc17ed2023-08-04T05:47:00ZengElsevierResults in Physics2211-37972023-08-0151106617Influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal QED3Pei-Lin Yin0Heng Chen1Jing Yu2Corresponding author.; School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaSchool of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaSchool of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaIn this work, we quantitatively explore how a finite gauge boson mass affects dynamical mass generation and the chiral phase transition in thermal QED3. To this end, we numerically solve the Dyson–Schwinger equations by considering the contributions coming from the wave function renormalization and the spatial part of the boson propagator at first and then compute the chiral condensate and some of thermodynamic quantities. It is found that the wave function renormalization and the spatial part of the boson propagator are crucial for the numerical solutions of the dressing functions and the value of critical temperature. The behaviors of the thermodynamic quantities and the chiral condensate as a function of temperature consistently imply that the chiral phase transition is none other than a second order one. That critical temperature decreases with increasing gauge boson mass verifies that the gauge boson mass will weaken the interactions between fermions and so suppress dynamical mass generation.http://www.sciencedirect.com/science/article/pii/S2211379723004102The dynamical mass generationThe wave function renormalizationThe spatial part of the boson propagatorDyson–Schwinger equations |
| spellingShingle | Pei-Lin Yin Heng Chen Jing Yu Influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal QED3 Results in Physics The dynamical mass generation The wave function renormalization The spatial part of the boson propagator Dyson–Schwinger equations |
| title | Influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal QED3 |
| title_full | Influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal QED3 |
| title_fullStr | Influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal QED3 |
| title_full_unstemmed | Influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal QED3 |
| title_short | Influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal QED3 |
| title_sort | influence of gauge boson mass on dynamical mass generation and chiral phase transition in thermal qed3 |
| topic | The dynamical mass generation The wave function renormalization The spatial part of the boson propagator Dyson–Schwinger equations |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723004102 |
| work_keys_str_mv | AT peilinyin influenceofgaugebosonmassondynamicalmassgenerationandchiralphasetransitioninthermalqed3 AT hengchen influenceofgaugebosonmassondynamicalmassgenerationandchiralphasetransitioninthermalqed3 AT jingyu influenceofgaugebosonmassondynamicalmassgenerationandchiralphasetransitioninthermalqed3 |