Note on the nonrelativistic $T\bar{T}$ deformation

Abstract

In this paper, we present our study on the $T\bar{T}$-deformation of non-relativistic complex scalar field theory. We find the closed form of the deformed Lagrangian by using the perturbation and the method of characteristics. Furthermore we compute the exact energy spectrum of the deformed free theory by using the Brillouin-Wigner perturbation theory in an appropriate regularization scheme.

arXiv comment14 pages, 2 figures, references updated, more clarifications

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Cited by in corpus (8)

• $T\bar{T}$ flow as characteristic flows
• Lax Connections in $T\bar{T}$-deformed Integrable Field Theories
• Surface charges in Chern-Simons gravity with $T\bar{T}$ deformation
• Irrelevant Deformations with Boundaries and Defects
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Irrelevant and marginal deformed BMS field theories
• Mixed state entanglement in deformed field theory at finite temperature
• $T\bar{T}$ deformation of Calogero-Sutherland model via dimensional reduction