- I Just Help With The C Part 1 (110.43 KiB) Viewed 58 times
I just help with the (c) part
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answerhappygod
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I just help with the (c) part
I just help with the (c) part
SU(N) Gauge Theory (a) First write the Lagrangian for an SU(N) gauge theory with a fermiony and a scalar • T- transforming in the fundamental representation. Then derive the classical equations of motion for the scalar, the fermion, and the gauge bosons. (b) Show that the field strength tensor of a SU(N) gauge field, FHV = FlTa, transforms in the following way under gauge transformations FH → U(x)FHVU-'(x), with U(x) (Hint: this can be done in 1 line if we act on 4 with Fuv) (c) Show that the above transformation corresponds to the following infinitesimal gauge transformation FHV + FPV + fabc@bFl. =e-ia (2) a
SU(N) Gauge Theory (a) First write the Lagrangian for an SU(N) gauge theory with a fermiony and a scalar • T- transforming in the fundamental representation. Then derive the classical equations of motion for the scalar, the fermion, and the gauge bosons. (b) Show that the field strength tensor of a SU(N) gauge field, FHV = FlTa, transforms in the following way under gauge transformations FH → U(x)FHVU-'(x), with U(x) (Hint: this can be done in 1 line if we act on 4 with Fuv) (c) Show that the above transformation corresponds to the following infinitesimal gauge transformation FHV + FPV + fabc@bFl. =e-ia (2) a