Thermalization and pinch singularities in non-equilibrium quantum field theory
I argue that, within the Closed-Time-Path formalism, pinch singularities do not appear in truly out of equilibrium situations.
arXiv subjects
Publications and source records attributed to P. Bedaque.
I argue that, within the Closed-Time-Path formalism, pinch singularities do not appear in truly out of equilibrium situations.
In the pole-dominance model for the two-body nonleptonic decays of charmed mesons $D \rightarrow PV$ and $D \rightarrow VV$, it is shown that the contributions of the intermediate pseudoscalar and the axial-vector meson poles cancel each other in the annihilation diagrams in the chiral limit. In the same limit, the annihilation diagrams for the $D \rightarrow PP$ decays vanish independently.
Two-body nonleptonic decays of charmed mesons are studied on the basis of a simple pole-dominance model involving the vector, pseudoscalar and axial-vector meson poles.
We show that the one-loop self-energy at finite temperature has a unique limit as the external momentum $p_μ\rightarrow 0$ {\it if} the loop involves propagators with distinct masses. This naturally arises in theories involving particles with different masses as is demonstrated for a toy model of two scalars as well as in a $U(1)$ Higgs theory. We show that, in spontaneously broken gauge theories, this observation nonetheless does not affect the difference between the Debye and plasmon masses, which are often thought of as the $(p_0=0, \vec{p}\to 0)$ and $(p_0\to 0,\vec{p}=0)$ limits of the self-energy.