https://doi.org/10.1140/epjc/s10052-025-14119-8
Regular Article - Theoretical Physics
Non-relativistic conformal field theory in momentum space
Department of Physics, Indian Institute of Technology Ropar, 140001, Rupnagar, Punjab, India
Received:
14
January
2025
Accepted:
21
March
2025
Published online:
15
April
2025
Non-relativistic conformal field theory describes many-body physics at unitarity. The correlation functions of the system are fixed by the requirement of the conformal invariance. In this article, we discuss the correlation functions of scalar operators in non-relativistic conformal field theories in momentum space. We discuss the solution of conformal Ward identities and express 2,3, and 4-point functions as a function of energy and momentum. We also express the 3- and 4-point functions as the one-loop and three-loop Feynman diagram computations in the momentum space. Lastly, we generalize the discussion to the momentum space correlation functions in the presence of a boundary.
© The Author(s) 2025
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