Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics
arXiv:1902.03141
Abstract
These lectures are a pedagogical -- not comprehensive -- introduction to the applications of effective field theory in the context of nuclear and atomic physics. A common feature of these applications is the interplay between nonperturbative physics (needed at leading order to produce nonrelativistic bound states and resonances) and controlled perturbative corrections (crucial for predictive power). The essential ideas are illustrated with the simplest nuclear EFT, Pionless EFT, which contains only contact interactions and, with minor changes, can be adapted to certain atomic systems. This EFT exploits the two-body unitarity limit, where renormalization leads to discrete scale invariance in systems of three and more bodies. Remarkably complex structures then arise from very simple leading-order interactions. Some of the challenges and rewards of including long-range forces -- pion exchange in Chiral EFT for nuclear systems or Van der Waals forces between atoms -- are briefly described.
Contribution to the Proceedings of the 2017 Les Houches Summer School on Effective Field Theory in Particle Physics and Cosmology (Les Houches, France, July 31-August 25, 2017); 53 pages, 7 figures
References in corpus (10)
- Chiral effective field theory and nuclear forces
- Evidence for Universal Four-Body States Tied to an Efimov Trimer
- Baryon-Baryon Interactions and Spin-Flavor Symmetry from Lattice Quantum Chromodynamics
- Short-range nuclear forces in singlet channels
- Renormalization of Singular Potentials and Power Counting
- Efimov physics in bosonic atom-trimer scattering
- Range Corrections to Three-Body Observables near a Feshbach Resonance
- Ground-state properties of unitary bosons: from clusters to matter
- Three-nucleon bound states and the Wigner-SU(4) limit
- Saturation properties of helium drops from a Leading Order description