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arxiv 1908.07578 v1 pith:TJWNI3JM submitted 2019-08-20 nucl-th

Renormalization of pionless effective field theory in the A-body sector

classification nucl-th
keywords many-bodyprocedurerenormalizationa-bodyeffectivefieldframeinteractions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Current models of inter-nucleon interactions are built within the frame of Effective Field Theories (EFTs). Contrary to traditional nuclear potentials, EFT interactions require a renormalization of their parameters in order to derive meaningful estimations of observable. In this paper, a renormalization procedure is designed in connection with many-body approximations applicable to large-A systems and formulated within the frame of many-body perturbation theory. The procedure is shown to generate counterterms that are independent of the targeted A-body sector. As an example, the procedure is applied to the random phase approximation. This work constitutes one step towards the design of a practical EFT for many-body systems.

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