Infrared-divergent spin boson model loses its ground state above a finite critical coupling, proved via long range order in a dual continuum Ising model.
A functional central limit theorem for Polaron path measures
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The application of the Feynman-Kac formula to Polaron models of quantum theory leads to the path measure of Brownian motion perturbed by a pair potential that is translation invariant both in space and time. An important problem in this context is the validity of a central limit theorem in infinite volume. We show both the existence of the relevant infinite volume limits and a functional central limit theorem in a generality that includes the Fr\"ohlich polaron for all coupling constants. The proofs are based on an extension of a novel method by Mukherjee and Varadhan.
fields
math-ph 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
Infrared-divergent spin boson model loses its ground state above a finite critical coupling, proved via long range order in a dual continuum Ising model.