TTbar deformations, the width of fundamental particles, and generalised hydrodynamics

Abstract: I will explain how TTbar deformations of many-body systems - both relativistic and Galilean invariant - can be seen as deformations of the fundamental particles of the theory. In this interpretation, depending on the sign, either the particles gain a nonzero width - point particles become hard rods - or the space in-between them is made larger. This gives a simple explanation for the field-dependent change of coordinates that is known to reproduce TTbar deformations: it accounts for the reduced or enlarged free space. This also clarifies many aspects of TTbar deformations, such as their UV behaviours and scattering matrix. Field-dependent changes of metric, particle widths, and their relation to scattering have been explored, independently, in the context of generalised hydrodynamics, the hydrodynamic theory for integrable systems. I will review aspects of this, and explain some of the connections between the two areas of research. I will explain how TTbar deformations of many-body systems - both relativistic and Galilean invariant - can be seen as deformations of the fundamental particles of the theory. In this interpretation, depending on the sign, either the particles gain a nonzero width - point particles become hard rods - or the space in-between them is made larger. This gives a simple explanation for the field-dependent change of coordinates that is known to reproduce TTbar deformations: it accounts for the reduced or enlarged free space. This also clarifies many aspects of TTbar deformations, such as their UV behaviours and scattering matrix. Field-dependent changes of metric, particle widths, and their relation to scattering have been explored, independently, in the context of generalised hydrodynamics, the hydrodynamic theory for integrable systems. I will review aspects of this, and explain some of the connections between the two areas of research.

Based on work in collaboration with John Cardy.

HEP - theory

Audience: researchers in the topic

TTbar Deformation and Integrability

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