Geometrizing non-relativistic bilinear deformations
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2021
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Journal Article
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yes
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Abstract
We define three fundamental solvable bilinear deformations for any massive non-relativistic 2d quantum field theory (QFT). They include the T T ¯ deformation and the recently introduced hard rod deformation. We show that all three deformations can be interpreted as coupling the non-relativistic QFT to a specific Newton-Cartan geometry, similar to the Jackiw-Teitelboim-like gravity in the relativistic case. Using the gravity formulations, we derive closed-form deformed classical Lagrangians of the Schrödinger model with a generic potential. We also extend the dynamical change of coordinate interpretation to the non-relativistic case for all three deformations. The dynamical coordinates are then used to derive the deformed classical Lagrangians and deformed quantum S-matrices.
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published
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2021 (4)
Pages / Article No.
186
Publisher
Springer
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Subject
2D Gravity; Field Theories in Lower Dimensions; Integrable Field Theories
Organisational unit
03896 - Beisert, Niklas / Beisert, Niklas