Modular Hamiltonians for Euclidean Path Integral States (May 27, 2020)

  • Published: 2020-05-17

Time: 09:30 am (UTC/GMT+08:00, Beijing/Shanghai), May 27 (Wedn.), 2020

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Meeting ID:  992 1120 5683


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Speaker: Onkar Parrikar (Stanford)



We will study the Rindler modular Hamiltonian of a class of excited states, constructed by turning on sources for local operators in the Euclidean path integral, in general QFTs. We will treat the sources perturbatively, and obtain an explicit formula for the modular Hamiltonian to all orders in this perturbation theory. Crucially, our formula is manifestly Lorentzian (i.e. written in terms of multi-local operators smeared over the Rindler wedge), despite the excited states being constructed using the Euclidean path integral. These results can also be used to obtain explicit expressions for the modular Hamiltonian of shape-deformed half-spaces to all orders in the shape-deformation. Finally, we will discuss applications of this formula to AdS/CFT and make contact with the JLMS formula.

(The talk will be based on arXiv:2002.00018 [hep-th].)