DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS

KUANG YU-PING; YI YU-PING

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1978, Vol. 2> Issue(6) : 488-500

DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS

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Abstract：
Dynamical symmetry breakings in quantum chromodynamics （QCD） are investigated by means of the renormalization-group equations and the Dyson equations. It is shown that: （1） The electromagnetic （and weak） interactions can not be neglected in studying those nonperturbative problems as dynamical symmetry breakings for type-A models in QCD. （2） When the electromagnetic interactions between stratons are taken into account in the weak coupling approximation, dynamical symmetry breakings in QCD occur for many realistic models （type-A models） with QCD asymptotically free. This conclusion may hold beyond the weak coupling approximation of the electromagnetic interactions if there can still be a self-consistent solution of Johnson-Baker-Willey in quantum electrodynamics or β_e has an UV-stable fixed point. e_∞≠0 （a simple zero of β_e） and e_∞is not too large.

References

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D. J. Gross and F. Wilczek, Phys. Rev., D8(1973), 3633.[2] N .P. Chang, Phys. Rev., D10(1974), 2706; E. Ma, Phys. Rev., D11(1975), 322.[3] J. Lemmon and K. T. Mahanthapa, Phys, Rev., D13(1976), 2907.[4] J. M. Cornwall, Phys. Rev., D10(1974), 500.[5] F. Englert, J. M. Frére and P. Nicoletopoulos, Phys. Lett., 59B(1975), 346.[6] S.-H. H. Tye, E. Tomboulis and E. C. Poggio, Phys. Rev，D11(1975), 2839.[7] K. Johnson, M. Baker, and R. Willey, Phys. Rev., 136(1964), B1111; K. Johnson, R. willey and M. Baker, Phys. Rev., 163(1967), 1699;M. Baker and K. Johnson, Phys. Rev., 183(1969).1292; Phys. Rev., D3(1971), 2516, 2541;S. L. Adler and W. A. Bardeen, Phys. Rev., D4(1971).3045.[8] S. Weinberg, Phys. Rev., D8(1973), 3497;J. C. Collina and A. J. Macfarlaire, Phys. Rev., D10(1974), 1021.[ 9 ] K. Lane, Phys. Rev., D10(1974), 2605.[10] J. M. Cornwall, R. Jakiw and E. Tomboulis, Phys. Rev., D10(1974), 2428.[11] J. M. Cornwall and R. E. Norton, Phys. Rev., D8(1973), 3338.[12] R. Jakiw and K. Johnson, Phys. Rev., D8(1973), 2386;E. J. Eichten and F. L. Feinberg,Phys. Rev., D10(1974), 3254.[13] S. Weinberg, Phys. Rev. Lett., 19(1967), 1264.[14] 邝宇平、易余萍，兰州大学学报(自然科学版)，1977, 2, 25.[15] B. W. Lee and W. I. Weisberger, Phys. Rev., D10(1974), 2530.

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KUANG YU-PING and YI YU-PING. DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS[J]. Chinese Physics C, 1978, 2(6): 488-500.

KUANG YU-PING and YI YU-PING. DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS[J]. Chinese Physics C, 1978, 2(6): 488-500. shu

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Received: 1977-12-12
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

DYNAMICAL SYMMETRY BREAKINGS IN QUANTUM CHROMODYNAMICS

KUANG YU-PING
YI YU-PING

Received Date: 1977-12-12
Accepted Date: 1900-01-01
Available Online: 1978-12-05

Abstract: Dynamical symmetry breakings in quantum chromodynamics （QCD） are investigated by means of the renormalization-group equations and the Dyson equations. It is shown that: （1） The electromagnetic （and weak） interactions can not be neglected in studying those nonperturbative problems as dynamical symmetry breakings for type-A models in QCD. （2） When the electromagnetic interactions between stratons are taken into account in the weak coupling approximation, dynamical symmetry breakings in QCD occur for many realistic models （type-A models） with QCD asymptotically free. This conclusion may hold beyond the weak coupling approximation of the electromagnetic interactions if there can still be a self-consistent solution of Johnson-Baker-Willey in quantum electrodynamics or β_e has an UV-stable fixed point. e_∞≠0 （a simple zero of β_e） and e_∞is not too large.