Entanglement properties of gauge theories and the graviton

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PhD; 2023; Centre for high energy physics

Entanglement entropy is emerging as a useful quantity to study critical phenomena in quantum systems, black holes physics, and holography. In this presentation, we discuss entanglement properties of gauge theories and the graviton in the ground state as well as excited states corresponding to local quenches. We show that the quantum entanglement entropy of the ground state of the free Maxwell field in d=4 dimensions, conformal p-forms, and conformal higher spins can be obtained from the partition function on the hyperbolic cylinder. We demonstrate that the entanglement entropy of linearized gravitons across a sphere coincides with that obtained from the partition function of Kaluza-Klein tower of traceless transverse massive spin-2 fields on the hyperbolic cylinder with the mass of the constant mode along S^1 direction saturating the Brietenholer-Freedman bound in AdS_3. We show that the Gauss law of gravity implies that certain radial components of Riemann tensors label the super-selection sectors for the graviton.