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Open Quantum Systems Decoherence
Quantum Simulation
UV/IR symmetries of the S-matrix and RG flow
arXiv
Authors: Silas R. Beane, Roland C. Farrell
Year
2021
Paper ID
40916
Status
Preprint
Abstract Read
~2 min
Abstract Words
91
Citations
N/A
Abstract
The low energy S-matrix which describes non-relativistic scattering arising from finite-range forces has UV/IR symmetries that are hidden in the corresponding effective field theory (EFT) action. It is shown that the S-matrix symmetries are manifest as geometric symmetries of the RG flow of coupling constants in the EFT action in both three and two spatial dimensions. An example is given demonstrating that UV/IR symmetry breaking in the S-matrix implies strong constraints on the RG flow of the coefficients of the corresponding symmetry-breaking operators in the EFT.
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- The low energy S-matrix which describes non-relativistic scattering arising from finite-range forces has UV/IR symmetries that are hidden in the corresponding effective field...
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