Renormalization of pionless effective field theory in the A-body sector
Abstract
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.
Keywords
Cite
@article{arxiv.1908.07578,
title = {Renormalization of pionless effective field theory in the A-body sector},
author = {Mehdi Drissi and Thomas Duguet and Vittorio Soma},
journal= {arXiv preprint arXiv:1908.07578},
year = {2020}
}
Comments
14 pages, 7 figures, 2 tables. Contribution to the EPJA topical issue: "The tower of effective (field) theories and the emergence of nuclear phenomena"