[1] Zhou Yuqing, Yang Yonghong,. Gauge dependence of chiral condensate and fermion massby an unquenched model [J]. Journal of Southeast University (English Edition), 2011, 27 (1): 111-114. [doi:10.3969/j.issn.1003-7985.2011.01.023]

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Gauge dependence of chiral condensate and fermion massby an unquenched model()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

27

Issue:

2011 1

Page:

111-114

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2011-03-30

Info

Title:

Gauge dependence of chiral condensate and fermion massby an unquenched model

Author(s):

Zhou Yuqing;  Yang Yonghong

Department of Physics, Southeast University, Nanjing 211189, China

Keywords:

quantum electrodynamics(QED₃);  unquenched;  fermion-boson vertex;  fermion chiral condensate;  quenched;  drawback

PACS:

O573.31

DOI:

10.3969/j.issn.1003-7985.2011.01.023

Abstract:

Based on three-dimensional quantum electrodynamics theory, a set of truncated Dyson-Schwinger(D-S)equations are solved to study photon and fermion propagators with the effect of vacuum polarization. Numerical studies show that condensation and the value of fermion mass depends heavily on how the D-S equations are truncated. By solving a set of coupled D-S equations, it is also found that the fermion propagator shows a clear dependence on the order parameter. The truncated D-S equations under unquenched approximation are used to study the mass-function and chiral condensation of the fermions. The results under the unquenched approximation are clearly different from the ones under quenched approximation. With the increase in the order parameter, the fermion condensation in the unquenched approximation decreases when 0≤ξ<5, while it increases when ξ>5. However, nothing like this is observed in the quenched approximation, which indicates that there may be flaws in the quenched approximations.

References:

[1] Bashir A, Huet A, Raya A. Gauge dependence of mass and condensate in chirally asymmetric phase of quenched three-dimensional QED [J]. Physical Review D, 2002, 66(2):025029.
[2] Sanchez S, Raya A, Bashir A. A study of confinement and dynamical chiral symmetry breaking in QED₃[C]//Mexican Workshop on Particles and Fields. Hermosillo and San Carlos, Sonora, Mexico, 2008, 1116:461-463.
[3] Feng H T, Hu F, Sun W M, et al. The influence of the gauge boson mass on the critical number of the fermion flavors in QED₃ [J]. International Journal of Modern Physics A, 2005, 20(13):2753-2756.
[4] Bashir A, Raya A, Sanchez-Madrigal S, et al. Gauge invariance of a critical number of flavors in QED₃ [J]. Few-Body Systems, 2009, 46: 229-237.
[5] Liu G Z. Confinement of matter fields in compact(2+1)-dimensional QED theory of high-T_c superconductors [J]. Physical Review B, 2005, 71(17):172501.
[6] Feng H T, He M, Sun W M, et al. Investigation of phase transition in QED₃[J]. Physics Letter B, 2010, 688(2/3):178-184.
[7] Fischer C S, Alkofer R, Dahm T, et al. Dynamical chiral symmetry breaking in unquenched QED₃ [J]. Physical Review D, 2004, 70(7):073007.
[8] Feng H T, He D K, Sun W M, et al. Influence of finite chemical potential on the fermion chiral condensate in QED₃ [J]. Physics Letters B, 2008, 661(1):57-65.

Memo

Memo:

Biography: Zhou Yuqing(1961—), male, master, associate professor, zhou_yuqing@263.net.
Foundation items: The Science Foundation of Southeast University, the National Natural Science Foundation of China(No.11047005).
Citation: Zhou Yuqing, Yang Yonghong. Gauge dependence of chiral condensate and fermion mass by an unquenched model[J].Journal of Southeast University(English Edition), 2011, 27(1):111-114.[doi:10.3969/j.issn.1003-7985.2011.01.023]

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