# Exact continuum representation of long-range interacting systems

@inproceedings{Buchheit2022ExactCR, title={Exact continuum representation of long-range interacting systems}, author={Andreas A. Buchheit and Torsten Ke{\ss}ler and Peter K. Schuhmacher and Benedikt Fauseweh}, year={2022} }

Continuum limits are a powerful tool in the study of many-body systems, yet their validity is often unclear when long-range interactions are present. In this work, we rigorously address this issue and put forth an exact representation of long-range interacting lattices that separates the model into a term describing its continuous analogue, the integral contribution, and a term that fully resolves the microstructure, the lattice contribution. For any system dimension, any lattice, any power-law…

## One Citation

### Exact $$ T\overline{T} $$ deformation of two-dimensional Yang-Mills theory on the sphere

- MathematicsJournal of High Energy Physics
- 2022

Abstract
We study the $$ T\overline{T} $$
T
T
¯
deformation of two-dimensional Yang-Mills theory at genus zero by carrying out the analysis at the level of its instanton representation. We…

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