Nonperturbative regularization and renormalization: simple examples from nonrelativistic quantum mechanics

DOI10.1006/aphy.1997.5771zbMath0974.81037arXivhep-th/9706070OpenAlexW2107967851MaRDI QIDQ1283523

Silas R. Beane, Thomas D. Cohen, Daniel R. Phillips

Publication date: 1 June 1999

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9706070

zbMATH Keywords

dimensional regularizationdelta-function potentialeffective rangecutoff schemespower-law divergencesrenormalized scattering amplitudezero-range potentials

Mathematics Subject Classification ID

Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) (2)-body potential quantum scattering theory (81U05)

Related Items (15)

Nonperturbative \(NN\) scattering in \(^3S_1-^3D_1\) channels of \(\mathrm{EFT}(\not\pi)\) ⋮ Regularization methods for nuclear lattice effective field theory ⋮ Removing the Wigner bound in non-perturbative effective field theory ⋮ Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon-nucleon scattering ⋮ Multiple scattering of elastic waves by pinned dislocation segments in a continuum ⋮ Similarity renormalization group evolution of chiral effective nucleon-nucleon potentials in the subtracted kernel method approach ⋮ Effective field theory for two-body systems with shallow \(S\)-wave resonances ⋮ Scattering models for ultracold atoms ⋮ Dilational symmetry-breaking in thermodynamics ⋮ Anomalous "mapping" between pionfull and pionless EFT's ⋮ Dimensional transmutation and dimensional regularization in quantum mechanics. I: General theory ⋮ An effective field theory approach to two trapped particles ⋮ The exact discontinuity of a partial wave along the left-hand cut and the exact \(N/D\) method in non-relativistic scattering ⋮ MORE ABOUT THE WILSONIAN ANALYSIS ON THE PIONLESS NEFT ⋮ Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content

Cites Work

• Unnamed Item
• Quantum field theory techniques in graphical enumeration
• Generalized point interactions for the radial Schrodinger equation via unitary dilations
• Renormalization
• Lower Limit for the Energy Derivative of the Scattering Phase Shift
• Perturbations of the Schrödinger equation by potentials with small support

This page was built for publication: Nonperturbative regularization and renormalization: simple examples from nonrelativistic quantum mechanics