# The Massless Modular Hamiltonian

@article{Longo2020TheMM, title={The Massless Modular Hamiltonian}, author={Roberto Longo and Gerardo Morsella}, journal={Communications in Mathematical Physics}, year={2020} }

We compute the vacuum local modular Hamiltonian associated with a space ball region in the free scalar massless Quantum Field Theory. We give an explicit expression on the one particle Hilbert space in terms of the higher dimensional Legendre diﬀerential operator. The quadratic form of the massless modular Hamiltonian is expressed in terms of an integral of the energy density with the parabolic distribution. We then get the formula for the local entropy of a wave packet. This gives the vacuum…

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