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UNIVERSITY OF CALIFORNIA, SANTA BARBARA Department of Physics
 

Summary: UNIVERSITY OF CALIFORNIA, SANTA BARBARA
Department of Physics
Prof. S. B. Giddings Fall 2010
TA: Erik Perkins
Physics 221A
Relativistic Quantum Field Theory
ASSIGNMENT #7 SOLUTIONS
Problem 1
The 6-point interaction term is conventionally normalized with a 6!, just as the 4=point
interaction term in 4 theory is normalized with a 4!. Thus we get a vertex factor of -i.
The kinetic terms are the same in this theory as in 4, so the propagator is the same.
Momentum is still conserved at each vertex, and diagrams must still be divided by any
necessary symmetry factors.
Problem 2
(a)
Applying a series of functional derivatives to the generating functional

iJ(x1)
. . .

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics