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[1] Zhou Yuqing,. Dynamical chiral symmetry breaking in QED3 [J]. Journal of Southeast University (English Edition), 2014, 30 (4): 544-549. [doi:10.3969/j.issn.1003-7985.2014.04.024]
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Dynamical chiral symmetry breaking in QED3()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
30
Issue:
2014 4
Page:
544-549
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2014-12-31

Info

Title:
Dynamical chiral symmetry breaking in QED3
Author(s):
Zhou Yuqing
Department of Physics, Southeast University, Nanjing 211189, China
Keywords:
propagator;  covariant gauge;  3D quantum electrodynamics(QED);  equivalent pressure difference;  fermion condensation;  chiral phase transition
PACS:
O572.24;O413.2
DOI:
10.3969/j.issn.1003-7985.2014.04.024
Abstract:
In order to examine how a propagator behaves in non-perturbative theories and how its behavior is influenced by the choice of a covariant gauge, a truncated Dyson-Schwinger equation is used to numerically investigate the properties of fermions and bosons in 3D quantum electrodynamics(QED), and a series of self-consistent solutions for the fermion propagator in the Nambu and Wigner phases are obtained. These numerical solutions show that the propagator behaves very differently in the Landau gauge domain and in the infrared energy region outside it. By using the propagators in the Nambu and Wigner phases under various gauges, it is further investigated how the fermion equivalent pressure difference and fermion condensation change with the gauge parameters. These results indicate that the phase transition described by the CJT equivalent potential and the chiral phase transition described by the chiral condensation are not completely identical.

References:

[1] Appelquis T, Nash D, Wijewardhana L C R. Critical-behavior in(2+1)-dimensional QED[J]. Physical Review Letters, 1988, 60(25): 2575-2578.
[2] Nash D. Higher-order corrections in(2+1)-dimensional QED[J]. Physical Review Letters, 1989, 62(26): 3024-3026.
[3] Maris P. Influence of the full vertex and vacuum polarization on the fermion propagator in(2+1)-dimensional QED[J]. Physical Review D, 1996, 54(6): 4049-4058.
[4] Burden C J, Roberts C D. Light-cone regular vertex in 3-dimensional quenched QED [J]. Physical Review D, 1991, 44(2): 540-550.
[5] Pisarski R D. Chiral-symmetry breaking in 3-dimensional electrodynamics[J]. Physical Review D, 1984, 29(10): 2423-2426.
[6] Appelquist T W, Bowick M, Karabali D, et al. Spontaneous chiral-symmetry breaking in 3-dimensional QED[J]. Physical Review D, 1986, 33(12): 3704-3713.
[7] Atkinson D, Johnson P W, Maris P. Dynamic mass generation in 3-dimensional QED-improved vertex function[J]. Physical Review D, 1990, 42S(2): 602-609.
[8] Curtis D C, Pennington M, Walsh D. Dynamics mass generation in QED3 and the 1/N expansion[J]. Physics Letters B, 1992, 295(3/4):313-319.
[9] Kondo K, Nakatani H. Cutoff dependence of self-consistent solutions in unquenched QED3[J]. Progress of Theoretical Physics, 1992, 87(1):193-206.
[10] Bashir A, Raya A. Landau-Khalatnikov-Fradkin transformations and the fermion propagator in quantum electrodynamics[J]. Physical Review D, 2002, 66(10):105005.
[11] Bashir A. Non-perturbative fermion propagator for the massless quenched QED3[J]. Physics Letters B, 2000, 491(3/4):280-284.
[12] Liu G Z, Cheng G. Effect of gauge boson mass on chiral symmetry breaking in three-dimensional QED[J]. Physical Review D, 2003, 67(6), 065010.
[13] Feng H T, Sun W M, Hu F, et al. The influence of the gauge boson mass on the critical number of the fermion flavors in QED(3)[J]. International Journal of Modern Physics A, 2005, 20(13):2753-2762.
[14] Burden C J, Praschifka J, Roberts C D. Photon polarization tensor and gauge dependence in 3-dimensional quantum electrodynamics[J]. Physical Review D, 1992, 46(6):2695-2702.
[15] Maris P. Confinement and complex singularities in 3-dimensional QED[J]. Physical Review D, 1995, 52(10): 6087-6097.
[16] Herbut I F, Seradjeh B H. Permanent confinement in the compact QED3 with fermionic matter[J]. Physical Review Letters, 2003, 91(17):171601.
[17] Burden C J, Praschifka J, Roberts C D. Photon polarization tensor and gauge dependence in 3-dimensional quantum electrodynamics[J]. Physical Review D, 1992, 46(6): 2695-2702.
[18] Fischer C S, Alkofer R, Dahm T, et al. Dynamical chiral symmetry breaking in unquenched QED3[J]. Physical Review D, 2004, 70(7):073007.
[19] Simmons E H. Useful gauges for studying dynamic fermion mass generation in arbitrary space-time dimension[J]. Physical Review D, 1990, 42(8): 2933-2935.
[20] Kondo K I, Maris P. First-order phase-transition in 3-dimensional QFD with chern-simons term[J]. Physical Review Letters, 1995, 74(1):18-21.
[21] Gusynin V P, Hams A H, Reenders M.(2+1)-dimensional QED with dynamically massive fermions in vacuum polarization[J]. Physical Review D, 1996, 53(4):2227-2235.
[22] King J E. Transverse vertex and gauge technique in quantum electrodynamics[J]. Physical Review D, 1983, 27(8):1821-1829.
[23] Curtis D C, Pennington M R. Truncating the Schwinger-Dyson equations: how multiplicative renormalizability and the ward identity restrict the 3-point vertex in QED[J]. Physical Review D, 1990, 42(12): 4165-4169.
[24] Ball J S, Chiu T W. Analytic properties of the vertex function in gauge-theories.I [J]. Physical Review D, 1980, 22(10): 2542-2549.
[25] Haymaker R W. Variational-methods for composite-operators[J]. Rivista del Nuovo Cimento, 1991, 14(8):1-89.
[26] Burden C J, Roberts C D. Gauge covariance and the fermion-photon vertex in 3-dimensional and 4-dimensional, massless quantum electrodynamics[J]. Physical Review D, 1993, 47(12):5581-5588.
[27] Stam K. Dynamical chiral symmetry-breaking[J]. Physics Letters B, 1985, 152(3/4): 238-240.
[28] Cornwall J M, Jackiw R, Tomboulis E. Effective action for composite operators[J]. Physical Review D, 1974, 10(8):2428-2445.

Memo

Memo:
Biography: Zhou Yuqing(1961—), male, doctor, professor, zhou-yuqing@263.net.
Foundation items: The National Natural Science Foundation of China(No.10947127), the Science Foundation of Southeast University(No.11047005),
Citation: Zhou Yuqing.Dynamical chiral symmetry breaking in QED3[J].Journal of Southeast University(English Edition), 2014, 30(4):544-549.[doi:10.3969/j.issn.1003-7985.2014.04.024]
Last Update: 2014-12-20