Renormalisability of the 2PI-Hartree approximation of multicomponent scalar models in the broken symmetry phase

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.

arXiv comment21 pages, no figures, version accepted for publication in Nucl. Phys. A

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• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Symmetry-Improved 2PI Approach to the Goldstone-Boson IR Problem of the SM Effective Potential
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• Renormalization of the 2PI Hartree-Fock approximation on de Sitter background in the broken phase
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• Effective potential and Goldstone bosons in de Sitter space
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• Role reversal in first and second sound in a relativistic superfluid
• Renormalization of O(N) model in 1/N expansion in auxiliary field formalism
• Tachyonic production of dark relics: a non-perturbative quantum study
• On the symmetry improved CJT formalism in the $O(4)$ linear sigma model
• Study of chiral symmetry restoration in linear and nonlinear O(N) models using the auxiliary field method
• Superfluid two-stream instability in a microscopic model
• Kaon condensation in the color-flavor-locked phase of quark matter, the Goldstone theorem, and the 2PI Hartree approximation
• Symmetry improvement of 3PI effective actions for O(N) scalar field theory
• Broken symmetry phase solution of the phi^4 model at two-loop level of the Phi-derivable approximation
• Soft symmetry improvement of two particle irreducible effective actions
• Bose-Einstein condensation in dense quark matter
• Coupling renormalization flow in the strongly interacting regime of an asymptotically free quantum field theory in four dimensions
• Renormalization of the 2PI-Hartree approximation in a broken phase with nonzero superflow