EFFECTIVE ACTION AND CHIRAL ANOMALIES IN ANY EVEN DIMENSIONAL SPACE

ZHOU Guang-Zhao; GUO Han-Ying; LI Xiao-Yuan; WU Ke; SONG Xing-Chang

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2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(2) : 252-256

EFFECTIVE ACTION AND CHIRAL ANOMALIES IN ANY EVEN DIMENSIONAL SPACE

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Abstract：
General expression for gauge covariant anomalous current is obtained from the difference of left handed and right handed Abelian anomaly in 2n+2 dimensions by the method of Weil homomorphism. The general form of symmetric and asymmetric anomalies. gauge invariant Wess-Zumino effective action and anomaly free condition in 2n dimensions are summarized in one closed formula, showing the deep connections among all these topological properties of gauge fields and pseudascalar Goldstone fields in 2n and 2n+é dimensions.

References

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E. Witten, Nucl. Phys., B223 (1983 ), 422.[2] J. bless and B. Zumino, Phys. Lett., 37B(1971), 95.[3] T. H. R. Skyrme, Proc. Roy. Soc. (London), A260(1961), 127.[4] E. Witten, Nucl. Phys., B223(1983), 433.G W. Adkins, C. R. Nappi and E. Witten, ibid., B228(1983), 552.[5] K. C. Chou, H. Y. Guo, K. Wu and X. C. Song, Phys. Lett., 134B (1984), 67; Institute of Theoretical Physics, Academia Sinica preprint AS-ITP-83-032; 033; Stony Brook preprint ITP SB84-18.[6] B. Zumino, Les Houches lectures 1983, LBL16747 (1983).B. Zumino, Y. S. Wu and A. Zee, Nucl. Phys. (to be published).[7] K. Kawai and S. -H. H. Tye, Cornen preprint CLNS-841595.[8] Y. P. Kuang, X. Y. Li, K. Wu and Z. Y. Zhao, preprint AS-ITP-84-015.[9] C. H. Chang, H. Y. Guo and K. Wu, preprint AS-ITP-84-016.[10] J. Goldstone and F. Wiluek, Phys. Rev. Lett., 47(1981), 986.[11] A. Zee, Phys. Lett., 135B(1984), 307. F. Wiluek and A. Zee, Phys. Rev. Lett., 51(1983), 2250. 1[12] 例如见 T. Eguchi, P. B. Gikey and A. J. Hanson, Phys. Reports, 66(1980), 213,及其中所引文献.[13] D. J. Gross and R. Jackiw, Phys. Rev., D6(1972), 477.

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ZHOU Guang-Zhao, GUO Han-Ying, LI Xiao-Yuan, WU Ke and SONG Xing-Chang. EFFECTIVE ACTION AND CHIRAL ANOMALIES IN ANY EVEN DIMENSIONAL SPACE[J]. Chinese Physics C, 1985, 9(2): 252-256.

ZHOU Guang-Zhao, GUO Han-Ying, LI Xiao-Yuan, WU Ke and SONG Xing-Chang. EFFECTIVE ACTION AND CHIRAL ANOMALIES IN ANY EVEN DIMENSIONAL SPACE[J]. Chinese Physics C, 1985, 9(2): 252-256. shu

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Received: 1900-01-01
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

EFFECTIVE ACTION AND CHIRAL ANOMALIES IN ANY EVEN DIMENSIONAL SPACE

Corresponding author: ZHOU Guang-Zhao,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-04-05

Abstract: General expression for gauge covariant anomalous current is obtained from the difference of left handed and right handed Abelian anomaly in 2n+2 dimensions by the method of Weil homomorphism. The general form of symmetric and asymmetric anomalies. gauge invariant Wess-Zumino effective action and anomaly free condition in 2n dimensions are summarized in one closed formula, showing the deep connections among all these topological properties of gauge fields and pseudascalar Goldstone fields in 2n and 2n+é dimensions.