arXiv subjects
Publications and source records attributed to Christian D. Jaekel.
We prove a Goldstone Theorem in thermal relativistic quantum field theory, which relates spontaneous symmetry breaking to the rate of space-like decay of the two-point function. The critical rate of fall-off coincides with that of the massless free scalar field theory. Related results and open problems are briefly discussed.
Let $ω$ be a factor state on the quasi-local algebra $\cal{A}$ of observables generated by a relativistic quantum field, which in addition satisfies certain regularity conditions (satisfied by ground states and the recently constructed thermal states of the $P(ϕ)_2$ theory). We prove that there exist space and time translation invariant states, some of which are arbitrarily close to $ω$ in the weak* topology, for which the time evolution is weakly asymptotically abelian.