Specification. Not Easy To Field Theory In Hand To Sign Abnormal

First ly.we introduce the non-commutative QED on ftD and const nit~ he action wit ii leiinion matter field and background gauge field.Then to give t l1(hriuve sl l)S I u gain the (hira.l anomaly with the point-slitting method. Secondly,wo pay our main attention to demonstrate the (letaile(l )1?CdUl to deduct cbiral anomaly through the Fujikawa path integral lflet.l1o(L. Then,wee apply the above achieved results and the method to gaiiiiiig I he .Jaco- bian of chiral hybrid bag model and the WZW term of the effective act ion. Fiiiallv.to summarize the Fujikawa path integral metlIo(l and the Iiftiulties we will encounter (luring the cource of arriving at the chiral anomaly and grhltalize the I ecluct ion a mid resultsto 2n- dimensioned non-commutative spaces.