Where:

and Eq1:

this is all that was given

Prob 4. [10 points] The E&M interaction (see Eq. II.B (1) of G&W) is proportional to the vector current of Eq. II.A (34) of G&W. When new interactions were found (like the weak interaction, that is responsible for beta decay), the question arose as to whether this current had the same structure (proportional to a current of the form of Eq. II.A (34) of G&W with some other coupling constant, gw, instead of e) or whether it could be a "scalar current. a) Show that Vector currents do not flip chirality, i.e., that the Yu operator in Eq. II.A (34) of G&W connects xt with xt and x with x , but not xt with x. b) Show that Scalar currents always flip chirality, i.e., that, if one replaces the Yu operator in Eq. II.A (34) of G&W for the identity matrix, then the current connects x with x , but identical chiralities (x+ with x* and x with x ) are not connected. + 11k1k) = 114-15) (34) Z R = 67. in *") = r.o. 16 x - iy R = = lx tiy + --Z Prob 4. [10 points] The E&M interaction (see Eq. II.B (1) of G&W) is proportional to the vector current of Eq. II.A (34) of G&W. When new interactions were found (like the weak interaction, that is responsible for beta decay), the question arose as to whether this current had the same structure (proportional to a current of the form of Eq. II.A (34) of G&W with some other coupling constant, gw, instead of e) or whether it could be a "scalar current. a) Show that Vector currents do not flip chirality, i.e., that the Yu operator in Eq. II.A (34) of G&W connects xt with xt and x with x , but not xt with x. b) Show that Scalar currents always flip chirality, i.e., that, if one replaces the Yu operator in Eq. II.A (34) of G&W for the identity matrix, then the current connects x with x , but identical chiralities (x+ with x* and x with x ) are not connected. + 11k1k) = 114-15) (34) Z R = 67. in *") = r.o. 16 x - iy R = = lx tiy + --Z