General aspects of effective field theories and few-body applications

Abstract

Effective field theory provides a powerful framework to exploit a separation of scales in physical systems. In these lectures, we discuss some general aspects of effective field theories and their application to few-body physics. In particular, we consider an effective field theory for non-relativistic particles with resonant short-range interactions where certain parts of the interaction need to be treated nonperturbatively. As an application, we discuss the so-called pionless effective field theory for low-energy nuclear physics. The extension to include long-range interactions mediated by photon and pion-exchange is also addressed.

46 pages, 16 figures. Lectures prepared for the ECT* Doctoral Training Program, "Computational Nuclear Physics", April 13 - May 22, 2015. Submitted to Lect. Notes Phys., "An advanced course in computational nuclear physics: Bridging the scales from quarks to neutron stars", M. Hjorth-Jensen, M. P. Lombardo, U. van Kolck, Editors

References in corpus (6)

• Universal Relations for Identical Bosons from 3-Body Physics
• What is Renormalization?
• Universal three-body recombination and Efimov resonances in an ultracold Li-Cs mixture
• The proton-deuteron system in pionless EFT revisited
• Cutoff regulators in chiral nuclear effective field theory
• Comparison of the heavy-fermion and Foldy-Wouthuysen formalisms at third order

Cited by in corpus (6)

• Effective field theory description of halo nuclei
• Dilute Fermi gas at fourth order in effective field theory
• Scattering length in holographic confining theories
• Scattering length from holographic duality
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory