Proof of Chiral Symmetry Breaking and Persistent Mass Condition in Vector- Like Gauge Theory

ZHOU Bangrong

理论物理通讯 ›› 1991, Vol. 15 ›› Issue (3) : 319-330.

PDF(603 KB)
会计学季刊
Quarterly Journal of Accounting
主办单位:
香港中文大学会计学院
上海财经大学会计学院
南京大学商学院会计学系
ISSN: 3006-1415
PDF(603 KB)
理论物理通讯 ›› 1991, Vol. 15 ›› Issue (3) : 319-330.

Proof of Chiral Symmetry Breaking and Persistent Mass Condition in Vector- Like Gauge Theory

  • ZHOU Bangrong
作者信息 +

Proof of Chiral Symmetry Breaking and Persistent Mass Condition in Vector- Like Gauge Theory

  • ZHOU Bangrong
Author information +
文章历史 +

摘要

We give the details of rigorous proof of some mass inequalitiee in a vector-like gauge theory based on any simple group G. These mass inequalitiee lead to the conclusions that in auch a theory the chiral symmetries associated with all G representations of quarks must be spontaneously broken, and the persistent mass condition ie justified for any composite particles when the vacuum angle is zero or massless quarks exist.

Abstract

We give the details of rigorous proof of some mass inequalitiee in a vector-like gauge theory based on any simple group G. These mass inequalitiee lead to the conclusions that in auch a theory the chiral symmetries associated with all G representations of quarks must be spontaneously broken, and the persistent mass condition ie justified for any composite particles when the vacuum angle is zero or massless quarks exist.

引用本文

导出引用
ZHOU Bangrong. Proof of Chiral Symmetry Breaking and Persistent Mass Condition in Vector- Like Gauge Theory[J]. 理论物理通讯, 1991, 15(3): 319-330
ZHOU Bangrong. Proof of Chiral Symmetry Breaking and Persistent Mass Condition in Vector- Like Gauge Theory[J]. Communications in Theoretical Physics, 1991, 15(3): 319-330

参考文献

[1] For a review and reference, see M.E. Peskin, in Recent Advances in Field Theory and Statistical Mechanics, ed. by J.B. Zuber and R. Stora, North-Holland, Amsterdam (1984), p. 217.

[2] G.'t Hooft, Phys. Rev. Lett. 37(1976)8; Phys. Rev. D14(1976)3432.

[3] Y. Nambu and G. Jona-Lasinio, Phye. Rev. 122(1961)345; J.M. Cornwall, R. Jackiw and E.Tomboulis, Phys. Rev. D10(1974)2428; T. Banks and S. Raby,Phys. Rev. D14(1976)2182;J.M. Cornwall, Phys. Rev. D10(1974)500.

[4] G. 't Hooft, in Recent Developments in Gauge Theories, ed. G. t' Hooft et ol., Plenum, New York (1980); A.A. Ansel'm, JETP Lett. 32(1980)138; A. Zee, Phys. Lett. 9SB(1980)290; Y.Frishman, A. Schwimmer, T. Banks and S. Yankielowicx, Nucl. Phye. Bl77(1981)157; S. Coleman and B. Grossman, Nucl. Phys. B103(1982)205; G.R. Fkrrar, Phys. Lett. 96B(1980)273; S. Weinberg, Phys. Lett. 102B(1981)401; C.H. Albright, Phys. Rev. D24(1981)1969; I. Bars, Phys.Lett. 109B(1982)73; T. Banks, S. Yankielowicr and A. Schwimmer, Phys. Lett. 96B(1980)67;A. Schwimmer, Nucl. Phys. B198(1982)269; S. Coleman and E. Witten, Phye. Rev. Lett.46(1980)100.

[5] D. Weingarten, Phys. Rev. Lett. 61(1983)1830.

[6] S. Nuaeinov, Phye. Rev. Lett. 61(1983)2081.

[7] E. Witten, Phys. Rev. Lett. 61(1983)2351.

[8] C. Vafa and E. Witten, Nucl. Phys. B234(1984)173.

[9] J. Goldstone, Nuovo Cimento 19(1961)15; Y. Nambu and G. Jona-Laainio, Phye. Rev.123(1961)345; 124(1961)246.

[10] B.R. Zhou, Phys. Lett. 216B(1988)364; 336B(1990)412(E).

[11] J.P. Preskill and S. Weinberg, Phys. Rev. D34(1981)1059.

[12] H.D. Politzer, Phye. Rev. Lett. 30(1973)1346; D.J. Gross and F. Wilczek, Phya. Rev. Lett.30(1973)1343; Phys. Rev. D8(1973)3633.

[13] S.L. Adler, Phys. Rev, 177(1969)2426; J.S. Bell and R. Jackiw, Nuovo Cimento 60A(1969)47;S.L. Adler and W.A. Bardeen, Phys. Rev.182(1969)1517;W.A. Bardeen, ibid., 184(1969)1848;J. Wess and B. Zumino, Phys. Lett. 37B(1971)95; H. Georgi and S.L. Glaahow, Phys. Rev.D6(1972)429.

[14] C. Callan, R. Dashen and D. Gross, Phys. Lett. 63B(1976)334; K. fijikawa, Phys. Rev. Lett.42(1979)1195; Phys. Rev. D21(1980)2848 and (E) D22(1980)1499.

[15] J.D. Bjorken and S.D. Drell, Relativistic Quantum Fields, McGraw-Hill, New York (1965).

[16] N.N. Bogoliubov and D.V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience,New York (1959).

[17] B.R. ZHOU, Commun. Theor. Phys. 13(1990)563.

[18] T. Kato, Israel J. Math. 13(1972)135; B. Simon, Math. Z. 131(1973)361; M. Schechter, J. finct.Anal. 20(1975)93; H. Hess, R. Schader and D.A. Uhlenbrock, Duke Math. J. 44(1977)893;R. Schader and R. Seiler, Comm. Math. Phys. 61(1978)169; B. Simon, Indiana Math. J.26(1977)1067; J. Funct. Anal. 32(1979)97; H. Hogreve, R. Schrader and R. Seiler, Nucl. Phys.B143(1978)525; D. Brydges, J. Frohlich and E. Seiler, Ann. Phys. 121(1979)227.

[19] For a review and reference, see L. Lyons, Prog.'Part. Nucl. Phys. 10(1983)227; R.R. Volkas and G.C. Joshi, Phys. Rep. 169(1988)303.

[20] B.R. ZHOU, Commun. Theor. Phys. 13(1990)57.

PDF(603 KB)

1463

Accesses

0

Citation

Detail

段落导航
相关文章

/