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General Aspects of Effective Field Theories and Few-Body Applications

2016/10/10 by H.‐W. Hammer, H. -W. Hammer, Sebastian König +1
Engineering · Physics and Astronomy · #Aerospace engineering #Effective field theory #Engineering #Field (mathematics) #Field theory (psychology) #High-Energy Particle Collisions Research #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Photon #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Theoretical physics #cond-mat.quant-gas #nucl-th

paper · pdf · doi:10.1007/978-3-319-53336-0_4

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

arxiv created 2016/10/10 · openalex publication_date 2017/01/01 · arxiv updated 2017/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations