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Irrelevant deformations with boundaries and defects

Yunfeng Jiang, Florian Loebbert, De-liang Zhong

2022Journal of Statistical Mechanics Theory and Experiment11 citationsDOIOpen Access PDF

Abstract

Abstract We initiate the study of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mi>T</mml:mi> <mml:mrow> <mml:mover accent="true"> <mml:mrow> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:math> -like irrelevant solvable deformations in quantum field theory with boundaries and defects. For this purpose, we employ a general formalism developed in the context of spin chains, which allows us to derive both, the deformed bulk and boundary/defect scattering matrices of integrable models. Using the deformed scattering matrices, we derive the flow equation for the deformed finite volume spectrum, as well as the cylinder partition function and the exact g -function.

Topics & Concepts

ScatteringAlgorithmPhysicsComputer scienceQuantum mechanicsAlgebraic structures and combinatorial modelsQuantum many-body systemsBlack Holes and Theoretical Physics
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