Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model

Cui-Bai Luo; Song Shi; Yong-Hui Xia; Hong-Shi Zong

doi:10.1088/1674-1137/41/6/063104

Chinese Physics C> 2017, Vol. 41> Issue(6) : 063104 DOI: 10.1088/1674-1137/41/6/063104

Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model

Cui-Bai Luo ¹ ,
Song Shi ¹ ,
Yong-Hui Xia ¹ ,
Hong-Shi Zong ^1,2,3,,

1.
Department of Physics, Nanjing University, Nanjing 210093, China
2.
Department of Physics, Nanjing University, Nanjing 210093, China
3.
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China
4.
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

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Abstract：
The Eigenstate Method has been developed to deduce the fermion propagator with a constant external magnetic field. In general, we find its result is equivalent to other methods and this new method is more convenient, especially when one evaluates the contribution from the infinitesimal imaginary term of the fermion propagator. Using the Eigenstate Method we try to discuss whether the infinitesimal imaginary frequency of the fermion propagator in a strong magnetic field and Lorentz-violating extension of the minimal SU(3)×SU(2)×SU(1) Standard Model could have a significant influence on the dynamical mass. When the imaginary term of the fermion propagator in this model is not trivial (√(α-1)eB/3< σ < √(α-1)2eB/3), this model gives a correction to the dynamical mass. When one does not consider the influence from the imaginary term (σ > √(α-1)2eB/3), there is another correction from the conventional term. Under both circumstances, chiral symmetry is broken.
- NJL ,
- strong magnetic field ,
- eigenstate method ,
- chiral symmetry breaking ,
- Lorentz-violation

References

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Cui-Bai Luo, Song Shi, Yong-Hui Xia and Hong-Shi Zong. Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model[J]. Chinese Physics C, 2017, 41(6): 063104. doi: 10.1088/1674-1137/41/6/063104

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Received: 2016-01-19
Revised: 2017-03-04

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Supported in part by National Natural Science Foundation of China (11275097, 11475085, 11535005, 11690030), China Postdoctoral Science Foundation (2014M561621), and Jiangsu Planned Projects for Postdoctoral Research Funds (1401116C)}

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通讯作者: 陈斌, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model

Corresponding author: Hong-Shi Zong,

1. Department of Physics, Nanjing University, Nanjing 210093, China

2. Department of Physics, Nanjing University, Nanjing 210093, China

3. Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China

4. State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

Received Date: 2016-01-19

Accepted Date: 2017-03-04

Available Online: 2017-06-05

Fund Project: Supported in part by National Natural Science Foundation of China (11275097, 11475085, 11535005, 11690030), China Postdoctoral Science Foundation (2014M561621), and Jiangsu Planned Projects for Postdoctoral Research Funds (1401116C)}

Abstract: The Eigenstate Method has been developed to deduce the fermion propagator with a constant external magnetic field. In general, we find its result is equivalent to other methods and this new method is more convenient, especially when one evaluates the contribution from the infinitesimal imaginary term of the fermion propagator. Using the Eigenstate Method we try to discuss whether the infinitesimal imaginary frequency of the fermion propagator in a strong magnetic field and Lorentz-violating extension of the minimal SU(3)×SU(2)×SU(1) Standard Model could have a significant influence on the dynamical mass. When the imaginary term of the fermion propagator in this model is not trivial (√(α-1)eB/3< σ < √(α-1)2eB/3), this model gives a correction to the dynamical mass. When one does not consider the influence from the imaginary term (σ > √(α-1)2eB/3), there is another correction from the conventional term. Under both circumstances, chiral symmetry is broken.

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Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model

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