Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2020)099
Keywords
Field Theories in Lower Dimensions; Integrable Field Theories; Models of Quantum Gravity; Renormalization Group
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Funding
- Infosys Endowment for the study of the Quantum Structure of Spacetime
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In this paper, we continue the study of TT deformation in d = 1 quantum mechanical systems and propose possible analogues of JT deformation and deformation by a general linear combination of TT and JT in quantum mechanics. We construct flow equations for the partition functions of the deformed theory, the solutions to which yields the deformed partition functions as integral of the undeformed partition function weighted by some kernels. The kernel formula turns out to be very useful in studying the deformed two-point functions and analyzing the thermodynamics of the deformed theory. Finally, we show that a non-perturbative UV completion of the deformed theory is given by minimally coupling the undeformed theory to worldline gravity and U(1) gauge theory.
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