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- Title
deformation of the Calogero–Sutherland model via dimensional reduction.
- Authors
Pavshinkin, D. V.
- Abstract
We derive a general expression for the trace of the energy–momentum tensor -deformed field theories using a dynamical change of coordinates. Then we perform a dimensional reduction of the bilinear operator and obtain a new -like deformation of the quantum mechanics of free nonrelativistic fermions and the interacting Calogero–Sutherland system. The deformation leads to a change in the energy spectrum but does not affect the eigenfunctions. Furthermore, an expression for the deformed classical Lagrangian is obtained. We also study the correspondence between the two-dimensional Yang–Mills theory and the Calogero–Sutherland system in the presence of the deformation.
- Subjects
NONRELATIVISTIC quantum mechanics; YANG-Mills theory; TENSOR fields
- Publication
Theoretical & Mathematical Physics, 2023, Vol 217, Issue 2, p1726
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577923110089