Sep 9 – 13, 2019
Europe/Zurich timezone

## From sum-integrals to continuum integrals and back

Sep 12, 2019, 10:00 AM
25m
Chambre du Trésorier

### Speaker

York Schröder (UBB Chillán)

### Description

Within finite-temperature quantum field theory, the evaluation of vacuum-type sum-integrals plays a central role in the determination of equilibrium observables, such as the free energy (or pressure) of a thermal system.

As has been repeatedly observed in the past, many two-loop sum-integrals can be decomposed into one-loop factors, allowing for analytic solutions in the space-time dimension $d$.

In this talk, we sketch a recent proof that this decomposition is generic, and give an algorithm that constructs this decomposition for any massless bosonic two-loop vacuum sum-integral. A number of related insights into a special class of two-loop massive vacuum integrals are discussed along the way.

### Primary author

York Schröder (UBB Chillán)