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Extra resources for Particle Physics: Cargèse 1987
When one considers even tree graphs constructed out of VCSV and D, not all the legs of VCSV are external and so some legs are not sandwiched against physical states. In general, the decoupling property of a ver tex does not ensure that the N point ver tex construc ted in this way wi 11 decouple zero norm physical states, since if one external leg is zero 35 norm some of interna I physical states. vertex of bosonic the legs not involve only the propagation of This phenomenon occurs with the old fermion emission superstring, case.
X~(-Cl") :: x~(Cl")l. 1t to -1t <: Cl" <: by 1t The oscillators defined above then correspond to Physical states - particle spectrum Let us first turn to the particle spectrum which was found by the process described above. " (/V'v ;: · >\+0 J (3 . 8) which is normal ordered. The on-shell states were found to be given . 9) )\JI) = 0 V\ 71 , (3 . 10) We call states that obey these equations physical states. The first equation is the mass shell condition which is compatible with the observations made in the previous section.
1.. ) the cubic interaction term in the light-cone gauge field theory being given by = jl '3 X ~~ (2)(t2. ) ) The gauge covariant interaction term is of the same form but V now involves anticommuting co-ordinates. 4) for ß2~ ( ~3 (~. his is none other than the identity x e(x) also have the identity 40 o. We for x ß2~ (3)1-1 an ( d ~3 x (~. (2)1-1 For both cases we also have simi1ar relations for . 6) where -,li. :rr p<:' M ("') (>(VI. ~ xM(lI') (. 8) This relation, however, will be of more use to us than Eqs.