Renormalisability of the 2PI-Hartree approximation of multicomponent scalar models in the broken symmetry phase
arXiv:0711.2933 · doi:10.1016/j.nuclphysa.2008.01.028
Abstract
Non-perturbative renormalisation of a general class of scalar field theories is performed at the Hartree level truncation of the 2PI effective action in the broken symmetry regime. Renormalised equations are explicitly constructed for the one- and two-point functions. The non-perturbative counterterms are deduced from the conditions for the cancellation of the overall and the subdivergences in the complete Hartree-Dyson-Schwinger equations, with a transparent method. The procedure proposed in the present paper is shown to be equivalent to the iterative renormalisation method of Blaizot et al., Nucl. Phys. A736 (2004) 149.
21 pages, no figures, version accepted for publication in Nucl. Phys. A
References in corpus (1)
Cited by in corpus (4)
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- Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
- Counterterm resummation for 2PI-approximation in constant background
- Renormalization of O(N) model in 1/N expansion in auxiliary field formalism