Index Theory and Adiabatic Limit in QFT

Quantum Mechanics_quantum field theory(QFT)

In QFT, quantum mechanical interactions between particles are described by interaction terms between the corresponding underlying fields. QFT interaction terms are similar in spirit to those between charges with electric and magnetic fields in Maxwell's equations. However, unlike the classical fields of Maxwell's theory, fields in QFT generally exist in quantum superpositions of states and are ...

Electroweak Baryogenesis in the Adiabatic Limit ⋆

Electroweak baryogenesis can occur in the " adiabatic limit, " in which expanding bubbles of true vacuum are assumed to have rather thick walls and be slowly moving. Here the problem of calculating the baryon asymmetry in this limit is reconsidered. A simple prescription for obtaining the relevant kinetic equations is given. An additional suppression beyond that usually assumed is found. This a...

Adiabatic Limit, Heat Kernel and Analytic Torsion

The adiabatic limit refers to the geometric degeneration in which the metric is been blown up along certain directions. The study of the adiabatic limit of geometric invariants is initiated by E. Witten [39], who relates the adiabatic limit of the η-invariant to the holonomy of determinant line bundle, the so called “global anomaly”. In this case the manifold is fibered over a circle and the me...

II. Non adiabatic theory of collisions in a radiative field. Semi-classical limit : Ar + O case

2014 The semi-classical limit of the non adiabatic theory of collisions in a radiative field detailed in paper 1 is applied to the numerical calculation of the collision induced emission cross section of the O(2 1S) + Ar ~ O(1 1D) + Ar + h v transition of oxygen perturbed by argon previously studied by Julienne (1982) whose available quantal results are taken as reference. The numerical results...

Non adiabatic theory of collisions in a radiative field. Semi-classical limit