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

Abstract
HTML
Reference
Related

PDF

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

[1]	A. Chodos, K. Everding, and D. A. Owen, Phys. Rev. D, 42: 2881 (1990)
[2]	K. Klimenko, Theor. Math. Phys., 90: 1 (1992)
[3]	S. Shi, Y. C. Yang, Y. H. Xia, Z. F. Cui, X. J. Liu, and H. S. Zong, Phys. Rev. D, 91: 036006 (2015)
[4]	C. E. Carlson, C. D. Carone, and R. F. Lebed, Physics Letters B, 518: 201 (2001)
[5]	A. Anisimov, T. Banks, M. Dine, and M. Graesser, Phys. Rev. D, 65: 085032 (2002)
[6]	O. Bertolami and L. Guisado, Phys. Rev. D, 67: 025001 (2003)
[7]	V. A. Kosteleck and S. Samuel, Phys. Rev. D, 39: 683 (1989)
[8]	D. Colladay and V. A. Kosteleck, Phys. Rev. D, 58: 116002 (1998)
[9]	D. Colladay and V. A. Kosteleck, Phys. Rev. D, 55: 6760 (1997)
[10]	S. Coleman and S. L. Glashow, Phys. Rev. D, 59: 116008 (1999)
[11]	R. C. Duncan and C. Thompson, Astrophys. J, 392: L9 (1992)
[12]	D. Kharzeev, Phys. Lett. B, 633: 260 (2006)
[13]	M. S. Turner and L. M. Widrow, Phys. Rev. D, 37: 2743 (1988)
[14]	B. Ratra, Astrophys. J, 391: L1 (1992)
[15]	L. M. Widrow, Rev. Mod. Phys., 74: 775 (2002)
[16]	V. de la Incera, AIP Conference Proceedings, 1361: 74 (2011)
[17]	C. Kouveliotou, S. Dieters, T. Strohmayer, J. Van Paradijs, G. Fishman, C. Meegan, K. Hur- ley, J. Kommers, I. Smith, D. Frail et al, Nature, 393: 235 (1998)
[18]	V. V. Skokov, A. Y. Ilarionov, and V. D. Toneev, Int. J. Mod. Phys. A, 24: 5925 (2009)
[19]	E. V. Shuryak, Phys. Rep, 61: 71 (1980)
[20]	T. Inagaki, D. Kimura, and T. Murata, Prog. Theor. Phys., 111: 371 (2004)

[1]	Wentao Zeng , Zehao Lin , Yiran Wang , Shuangquan Zhang , Jinniu Hu , Ying Zhang . Resonant states in the Schrödinger equation solved by the Green's function method. Chinese Physics C, 2026, 50(2): 1-10.
[2]	Wang-Fa Li , Junmou Chen , Qian-Jiu Wang , Zhao-Huan Yu . A Numerical Study on Gauge Symmetry of Electroweak Amplitudes. Chinese Physics C, 2026, 50(2): 1-16.
[3]	Li Tang , Liang Liu , Ying Wu . Null test of cosmic curvature using deep learning method. Chinese Physics C, 2026, 50(2): 1-8.
[4]	Minghui Ding , Fei Gao , Sebastian M. Schmidt . Anisotropic quark propagation and Zeeman effect in an external magnetic field. Chinese Physics C, 2026, 50(2): 1-19.
[5]	Jin-Yu Huo , Rui Chen . Exploring the two-body strong decay properties of the possible ${\boldsymbol\Lambda_{\boldsymbol c}\boldsymbol K^{}}$ and ${\boldsymbol\Sigma_{\boldsymbol c}\boldsymbol K^{()}}$ molecules. Chinese Physics C, 2025, 49(10): 103108. doi: 10.1088/1674-1137/adec4e
[6]	Tetsuaki Moriguchi , Momo Mukai , Naoto Kaname , Akira Ozawa , Shinji Suzuki , Yasushi Abe , Hiroki Arakawa , Tomoya Fujii , Daiki Hamakawa , Sakumi Harayama , Shun Hosoi , Yasuto Inada , Kumi Inomata , Reo Kagesawa , Daisuke Kajiki , Daiki Kamioka , Masanori Kanda , Atsushi Kitagawa , Takaaki Kobayashi , Daisuke Nagae , Sarah Naimi , Kunimitsu Nishimuro , Shunichiro Omika , Misaki Otsu , Mamoru Sakaue , Shinji Sato , Hibiki Seki , Naru Shinozaki , Takeshi Suzuki , Keisuke Tomita , Takayuki Yamaguchi , Yoshitaka Yamaguchi , Asahi Yano , Kenjiro Yokota . Improvements of time-of-flight detector utilizing a thin foil and crossed static electric and magnetic fields. Chinese Physics C, 2025, 49(10): 104001. doi: 10.1088/1674-1137/ade95b
[7]	Tao Hong , Xiao-Song Yang , Zhi-Gang Wang . Two-body strong decays of the hidden-charm tetraquark molecular states via QCD sum rules. Chinese Physics C, 2025, 49(10): 103104. doi: 10.1088/1674-1137/add912
[8]	Lola Meliyeva , Obid Xoldorov , Olmos Tursunboyev , Shavkat Karshiboev , Sardor Murodov , Isomiddin Nishonov , Bekzod Rahmatov . Theoretical study of Strong gravitational lensing around Dyonic ModMax black hole: constraints from EHT observations. Chinese Physics C, 2025, 49(12): 125102. doi: 10.1088/1674-1137/adf4a0
[9]	. SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays. Chinese Physics C, 2025, 49(12): 123101. doi: 10.1088/1674-1137/adf1f1
[10]	. Search for the lepton number violation decay ω→π⁺π⁺e⁻e⁻+c.c.. Chinese Physics C, 2025, 49(10): 103002. doi: 10.1088/1674-1137/ade955
[11]	Ronghao Hu , Qike Gu , Kejian Shi , Zezhong Wei , Meng Lv , Shiyang Zou , Yongkun Ding . Polarized neutron beams from polarized deuterium-tritium fusion with applications to magnetic field imaging in high-energy-density plasmas. Chinese Physics C, 2025, 49(12): 124102. doi: 10.1088/1674-1137/adec4f
[12]	Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz . Rotating and non-linear magnetic-charged black hole with an anisotropic matter field. Chinese Physics C, 2025, 49(10): 105106. doi: 10.1088/1674-1137/ade0a9
[13]	Bo Lan , Qin-Ze Song , Jin-Huan Sheng , Yi Qiao , Ru-Min Wang . Study of χ_cJ (J = 0,1,2) decays to light meson pairs based on SU(3) flavor symmetry/breaking analysis. Chinese Physics C, 2025, 49(12): 123106. doi: 10.1088/1674-1137/adff00
[14]	Yu Xi , Fu-Wen Shu . Constraints on Lorentz invariance violation from GRB 221009A using the DisCan method. Chinese Physics C, 2025, 49(12): 125101. doi: 10.1088/1674-1137/adfa01
[15]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[16]	WANG Ji-Ke , MAO Ze-Pu , BIAN Jian-Ming , CAO Guo-Fu , CAO Xue-Xiang , CHEN Shen-Jian , DENG Zi-Yan , FU Cheng-Dong , GAO Yuan-Ning , HE Kang-Lin , HE Miao , HUA Chun-Fei , HUANG Bin , HUANG Xing-Tao , JI Xiao-Bin , LI Fei , LI Hai-Bo , LI Wei-Dong , LIANG Yu-Tie , LIU Chun-Xiu , LIU Huai-Min , LIU Suo , LIU Ying-Jie , MA Qiu-Mei , MA Xiang , MAO Ya-Jun , MO Xiao-Hu , PAN Ming-Hua , PANG Cai-Ying , PING Rong-Gang , QIN Ya-Hong , QIU Jin-Fa , SUN Sheng-Sen , SUN Yong-Zhao , WANG Liang-Liang , WEN Shuo-Pin , , , , , , . Software alignment of the BESⅢ main drift chamber using the Kalman Filter method. Chinese Physics C, 2009, 33(3): 210-216. doi: 10.1088/1674-1137/33/3/010
[17]	ZHANG Man-Zhou , HOU Jie , LI Hao-Hu , LIU Gui-Min , LI De-Ming . Optimal sorting method and application to SSRF booster dipoles. Chinese Physics C, 2008, 32(11): 924-927. doi: 10.1088/1674-1137/32/11/015
[18]	GUO Yun-Jun , HE Kang-Lin . Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C, 2007, 31(11): 1050-1055.
[19]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[20]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Fund

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)}

Article Metric

Article Views(2792)
PDF Downloads(55)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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,

HTML

目录