Topological index associated with transverse axial vector and vector anomalies in QED

[1]
Takahashi Y, Mancini F. In Quantum Field Theory. Amsterdam: Elsevier Scince Publisher, 1986. 19[2] KondoK-I, Maris. Phys. Rev. D, 1995, 52: 1212-1233[3] HE H X, Khanna F C, Takahashi Y. Phys. Lett. B, 2000, 480: 222-228[4] Pennnington M R, Williams R. J. Phys. G: Nucl. Part. Phys., 2006, 32: 2219-2233[5] HE H X. Phys. Lett. B, 2001, 507: 351-355[6] SUN W S, ZONG H S, CHEN X S et al. Phys. Lett. B, 2003, 569(2): 211-238[7] BAO A D, WU S S. Int. J. Theor. Phys., 2007, 46: 12-27[8] BAO A D, YAO H B, WU S S. Chin. Phys. C, 2009, 33(3): 177-182[9] BAO A D, SUN Y Q, WAN D. Chin. Phys. Lett., 2012, 29: 121101-121104[10] HE H X. An Introduction to Nuclear Chromodynamics. Hefei: China University of Sci and Tech. Press, 2009. 12[11] HE H X. Int. J. Mod. Phys. A, 2007, 22: 2119-2132[12] Fujikawa K. Phys. ReV. Lett., 1997, 42: 1195-1198[13] EinhornM B, T Jones D R. Phys. Rev. D, 1984, 29: 331-333[14] Umezswa M. Phys. Rev. D, 1989, 39: 3672-3683[15] Verline N, Getzle E, Michele, Vergne. Heat Kernels and Dirac Operators. Veilag Berlin Heidelberg: Springer, 2004. 18-169