CJT effective potential approach to analyze the nature of phase transition of thermal QED $$_3$$ 3 at finite volume

Yi Hu (National Mobile Communications Research Laboratory, Southeast University, Nanjing, 211189, China; School of Physics, Southeast University, Nanjing, 211189, China; Frontiers Science Center for Mobile Information Communication and Security, Nanjing, Jiangsu, 211111, China; Quantum Information Center of Southeast University, Nanjing, 211189, China) ; Hong-tao Feng (School of Physics, Southeast University, Nanjing, 211189, China)

Based on the Cornwall–Jackiw–Tomboulis effective potential and the truncated Dyson–Schwinger equations, the nature of phase transition of thermal QED $$_3$$ 3 at finite volume is investigated. We show that, with the rise of temperature, the system undergoes a second-order transition in the chiral limit, and remains exhibiting the second-order with small fermion mass, while it switches to a crossover when the fermion mass exceeds a critical value about $$m_{c}$$ m c , which diminishes with the increasing volume size and tends to zero in infinite volume.

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      "value": "Based on the Cornwall\u2013Jackiw\u2013Tomboulis effective potential and the truncated Dyson\u2013Schwinger equations, the nature of phase transition of thermal QED $$_3$$  <math> <msub> <mrow></mrow> <mn>3</mn> </msub> </math>   at finite volume is investigated. We show that, with the rise of temperature, the system undergoes a second-order transition in the chiral limit, and remains exhibiting the second-order with small fermion mass, while it switches to a crossover when the fermion mass exceeds a critical value about  $$m_{c}$$  <math> <msub> <mi>m</mi> <mi>c</mi> </msub> </math>  , which diminishes with the increasing volume size and tends to zero in infinite volume."
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Published on:
24 December 2021
Publisher:
Springer
Published in:
European Physical Journal C , Volume 81 (2021)
Issue 12
Pages 1-7
DOI:
https://doi.org/10.1140/epjc/s10052-021-09927-7
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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