Physics 523 , Quantum Field Theory II Homework
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Superficially, this theory will diverge very similarly to quantum electrodynamics because the fields and the coupling constant have the same dimensions as in quantum electrodynamics. Therefore, we see that the superficial divergence is given by D = 4L − 2Pφ − Pe where L represents the number of loops and Pφ and Pe represent the number of pseudo-scalar and fermion propagator particles, respectively. Furthermore, we see that this can be reduced to
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Physics 523 , Quantum Field Theory II Homework 9 Due Wednesday , 17 th March 2004
Notice that both g and λ generally become weaker at large distances because for typical values of g, λ we see that βg and βλ are both positive. However, if λ << g then βλ will be negative and so λ will grow stronger at larger distances. Near small values of g and λ the theory shows interesting interplay between g and λ. Also interesting is the characteristic Landau pole in λ suggesting that we ...
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تاریخ انتشار 2004