On the mass dependence of the modular operator for a double cone
arXiv:2209.04681 · doi:10.1007/s00023-023-01311-3
Abstract
We present a numerical approximation scheme for the Tomita-Takesaki modular operator of local subalgebras in linear quantum fields, working at one-particle level. This is applied to the local subspaces for double cones in the vacuum sector of a massive scalar free field in (1 + 1)- and (3 + 1)-dimensional Minkowski spacetime, using a discretization of time-0 data in position space. In the case of a wedge region, one component of the modular generator is well-known to be a mass-independent multiplication operator; our results strongly suggest that for the double cone, the corresponding component is still at least close to a multiplication operator, but that it is dependent on mass and angular momentum.
arXiv comment23 pages, 16 figures, source code as ancillary files
References in corpus (6)
- Modular Structure and Duality in Conformal Quantum Field Theory
- Entanglement Hamiltonians for non-critical quantum chains
- Relative entropy for coherent states from Araki formula
- The information in a wave
- On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field
- Relative entropy of coherent states on general CCR algebras