Quantum Monte Carlo calculations with chiral effective field theory interactions
A Gezerlis1, I Tews, E Epelbaum
1Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany. gezerlis@theorie.ikp.physik.tu-darmstadt.de
Physical Review Letters
|August 6, 2013
Summary
We report the first quantum Monte Carlo calculations using chiral effective field theory interactions. This study provides crucial benchmarks for nuclear matter energy, advancing theoretical understanding and enabling future nuclear physics research.
Area of Science:
- Nuclear Physics
- Quantum Many-Body Theory
- Computational Physics
Background:
- Quantum Monte Carlo (QMC) methods are essential for solving complex nuclear many-body problems.
- Chiral effective field theory (EFT) provides a systematic framework for describing nuclear forces.
- Incorporating EFT interactions into QMC calculations has been computationally challenging due to nonlocality.
Purpose of the Study:
- To perform the first QMC calculations utilizing chiral EFT interactions.
- To develop a method for removing nonlocality in nuclear forces for QMC compatibility.
- To establish nonperturbative benchmarks for neutron matter energy.
Main Methods:
- Developed a method to remove nonlocality in chiral EFT nuclear forces up to next-to-next-to-leading order.
- Employed auxiliary-field diffusion Monte Carlo (AFDMC) to calculate neutron matter energy.
- Performed calculations using local nucleon-nucleon interactions at different chiral EFT orders.
Main Results:
- Achieved systematic order-by-order convergence in chiral EFT for neutron matter energy.
- Provided nonperturbative benchmarks for neutron matter with theoretical uncertainties.
- Demonstrated excellent agreement between AFDMC and perturbative calculations for softer interactions.
Conclusions:
- This work successfully integrates QMC calculations with systematic chiral EFT interactions.
- The findings pave the way for QMC studies of nuclei and nuclear matter.
- Enables testing of perturbativeness and matching to lattice quantum chromodynamics results.
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