Renormalized broken-symmetry Schwinger-Dyson equations and the two-particle irreducible 1/N expansion for the O(N) model
- National Science Foundation, Division of Physics, Arlington, Virginia 22230 (United States)
We derive the renormalized Schwinger-Dyson equations for the one- and two-point functions in the auxiliary field formulation of Coleman, Jackiw, and Politzer [S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974).] for {lambda}{phi}{sup 4} field theory, to order 1/N, in the 2PI-1/N expansion. We show that the renormalization of the broken-symmetry theory depends only on the counter terms of the symmetric theory with {phi}=0, as discussed in our previous paper [F. Cooper, B. Mihaila, and J. F.Dawson, Phys. Rev. D 70, 105008 (2004).]. We find that the 2PI-1/N expansion violates the Goldstone theorem at order 1/N. In using the O(4) model as a low energy effective field theory of pions to study the time evolution of disoriented chiral condensates one has to explicitly break the O(4) symmetry to give the physical pions a nonzero mass. In this effective theory, we expect that the additional small contribution to the pion mass due to the violation of the Goldstone theorem in the 2PI-1/N equations to be unimportant for an adequate description of the phenomenology.
- OSTI ID:
- 20709410
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 71, Issue 9; Other Information: DOI: 10.1103/PhysRevD.71.096003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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