This title appears in the Scientific Report :
2019
Please use the identifier:
http://hdl.handle.net/2128/24181 in citations.
Renormalization of a Contact Interaction on a Lattice
Renormalization of a Contact Interaction on a Lattice
Contact interactions can be used to describe a system of particles at unitarity, contribute to the leading part of nuclear interactions and are numerically non-trivial because they require a proper regularization and renormalization scheme. We explain how to tune the coefficient of a contact interac...
Saved in:
Personal Name(s): | Körber, Christopher (Corresponding author) |
---|---|
Berkowitz, Evan / Luu, Tom | |
Contributing Institute: |
Theorie der Starken Wechselwirkung; IAS-4 |
Imprint: |
2019
|
Document Type: |
Preprint |
Research Program: |
Theory, modelling and simulation |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Contact interactions can be used to describe a system of particles at unitarity, contribute to the leading part of nuclear interactions and are numerically non-trivial because they require a proper regularization and renormalization scheme. We explain how to tune the coefficient of a contact interaction between non-relativistic particles on a discretized space in 1, 2, and 3 spatial dimensions such that we can remove all discretization artifacts. By taking advantage of a latticized L\'uscher zeta function, we can achieve a momentum-independent scattering amplitude at any finite lattice spacing. |