# The chiral phase transition of QED{sub 3} around the critical number of fermion flavors

## Abstract

At zero temperature and density, the nature of the chiral phase transition in QED{sub 3} with N{sub f} massless fermion flavors is investigated. To this end, in Landau gauge, we numerically solve the coupled Dyson–Schwinger equations for the fermion and boson propagator within the bare and simplified Ball–Chiu vertices separately. It is found that, in the bare vertex approximation, the system undergoes a high-order continuous phase transition from the Nambu–Goldstone phase into the Wigner phase when the number of fermion flavors N{sub f} reaches the critical number N{sub f,c}, while the system exhibits a typical characteristic of second-order phase transition for the simplified Ball–Chiu vertex.

- Authors:

- Key Laboratory of Modern Acoustics, MOE, Institute of Acoustics (China)
- (China)
- Department of Physics, Nanjing University, Nanjing 210093 (China)
- Department of Physics, Southeast University, Nanjing 211189 (China)

- Publication Date:

- OSTI Identifier:
- 22403394

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics (New York)

- Additional Journal Information:
- Journal Volume: 348; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSONS; CHIRALITY; FERMIONS; FLAVOR MODEL; PHASE TRANSFORMATIONS; PROPAGATOR; QUANTUM ELECTRODYNAMICS; WIGNER THEORY

### Citation Formats

```
Yin, Pei-lin, Department of Physics, Nanjing University, Nanjing 210093, Cui, Zhu-fang, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, Feng, Hong-tao, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, Zong, Hong-shi, E-mail: zonghs@nju.edu.cn, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, and Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093.
```*The chiral phase transition of QED{sub 3} around the critical number of fermion flavors*. United States: N. p., 2014.
Web. doi:10.1016/J.AOP.2014.06.004.

```
Yin, Pei-lin, Department of Physics, Nanjing University, Nanjing 210093, Cui, Zhu-fang, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, Feng, Hong-tao, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, Zong, Hong-shi, E-mail: zonghs@nju.edu.cn, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, & Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093.
```*The chiral phase transition of QED{sub 3} around the critical number of fermion flavors*. United States. doi:10.1016/J.AOP.2014.06.004.

```
Yin, Pei-lin, Department of Physics, Nanjing University, Nanjing 210093, Cui, Zhu-fang, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, Feng, Hong-tao, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, Zong, Hong-shi, E-mail: zonghs@nju.edu.cn, State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190, and Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093. Mon .
"The chiral phase transition of QED{sub 3} around the critical number of fermion flavors". United States. doi:10.1016/J.AOP.2014.06.004.
```

```
@article{osti_22403394,
```

title = {The chiral phase transition of QED{sub 3} around the critical number of fermion flavors},

author = {Yin, Pei-lin and Department of Physics, Nanjing University, Nanjing 210093 and Cui, Zhu-fang and State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190 and Feng, Hong-tao and State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190 and Zong, Hong-shi, E-mail: zonghs@nju.edu.cn and State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, CAS, Beijing, 100190 and Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093},

abstractNote = {At zero temperature and density, the nature of the chiral phase transition in QED{sub 3} with N{sub f} massless fermion flavors is investigated. To this end, in Landau gauge, we numerically solve the coupled Dyson–Schwinger equations for the fermion and boson propagator within the bare and simplified Ball–Chiu vertices separately. It is found that, in the bare vertex approximation, the system undergoes a high-order continuous phase transition from the Nambu–Goldstone phase into the Wigner phase when the number of fermion flavors N{sub f} reaches the critical number N{sub f,c}, while the system exhibits a typical characteristic of second-order phase transition for the simplified Ball–Chiu vertex.},

doi = {10.1016/J.AOP.2014.06.004},

journal = {Annals of Physics (New York)},

issn = {0003-4916},

number = ,

volume = 348,

place = {United States},

year = {2014},

month = {9}

}

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