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

Drissi, Mehdi; Duguet, Thomas; Somà, V.

doi:10.1140/epja/s10050-020-00097-w

Cited by 6 publications

(3 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has also been suggested that the scales of the chiral EFT interaction and the inherent scales of the many-body configuration space (e.g., IR and UV cutoffs inherited from a HO basis, see section 4.3) or coordinate space wave functions should not be treated independently, and that by doing so, current manybody approaches might at least contribute to power counting issues. There have been a few efforts to explore this problem, but more work is clearly required [315][316][317][318][319][320]. Application needs.…”

Section: Strengthening and Employing The Hierarchy Of Strong Interactmentioning

confidence: 99%

A Guided Tour of ab initio Nuclear Many-Body Theory

2020

View full text Add to dashboard Cite

Over the last decade, new developments in Similarity Renormalization Group techniques and nuclear many-body methods have dramatically increased the capabilities of ab initio nuclear structure and reaction theory. Ground and excited-state properties can be computed up to the tin region, and from the proton to the presumptive neutron drip lines, providing unprecedented opportunities to confront two-plus three-nucleon interactions from chiral Effective Field Theory with experimental data. In this contribution, I will give a broad survey of the current status of nuclear many-body approaches, and I will use selected results to discuss both achievements and open issues that need to be addressed in the coming decade.

show abstract

Section: Strengthening and Employing The Hierarchy Of Strong Interactmentioning

confidence: 99%

A Guided Tour of ab initio Nuclear Many-Body Theory

2020

View full text Add to dashboard Cite

show abstract

“…}; see, e.g., Refs. [35,36] for details. [If there are subdivergences the actual degree of divergence can be larger than d.] The MBPT diagrams are obtained from scattering diagrams by closing the external lines (and excluding occupied states in loop integrals) of a single scattering diagram, or by closing and connecting the external lines of several diagrams.…”

Section: Effective Field Theory For Nonrelativistic Fermionsmentioning

confidence: 99%

Effective field theory for dilute Fermi systems at fourth order

2021

View full text Add to dashboard Cite

We discuss high-order calculations in perturbative effective field theory for fermions at low energy scales. The Fermi-momentum or k F a s expansion for the ground-state energy of the dilute Fermi gas is calculated to fourth order, both in cutoff regularization and in dimensional regularization. For the case of spin one-half fermions we find from a Bayesian analysis that the expansion is well converged at this order for |k F a s | 0.5. Furthermore, we show that Padé-Borel resummations can improve the convergence for |k F a s | 1. Our results provide important constraints for nonperturbative calculations of ultracold atoms and dilute neutron matter.

show abstract

“…It has also been suggested that the scales of the chiral EFT interaction and the inherent scales of the many-body configuration space (e.g., IR and UV cutoffs inherited from a HO basis, see Section 4.3) or coordinate space wave functions should not be treated independently, and that by doing so, current many-body approaches might at least contribute to power counting issues. There have been a few efforts to explore this problem, but more work is clearly required [315,316,317,318,319,320].…”

Section: Strengthening and Employing The Hierarchy Of Strong Interact...mentioning

confidence: 99%