AG Mathematische Physik, Markus Fröb (Leipzig): How to compute modular Hamiltonians

Markus Fröb (Leipzig)

How to compute modular Hamiltonians

Abstract: The Tomita-Takesaki theory of modular automorphisms

of von Neumann algebras has attracted renewed interest in recent years

in connection with the definition of entropies in quantum field

theory. I will present a short introduction to the theory, in which

the main object of interest is the modular Hamiltonian. I then explain

how one can compute this Hamiltonian explicitly in various situations,

in particular for relativistic fermions in 1+1 dimensions. Based on

arXiv:2312.04629, arXiv:2406.19360, arXiv:2411.09696 and

arXiv:2501.09669.