Particles and energy fluxes from a CFT perspective

TL;DR

This paper investigates particle creation in two-dimensional conformal field theories, comparing traditional Bogolubov coefficient methods with correlation function approaches, highlighting the invariance under Mobius transformations and linking particle production to energy flux.

Contribution

It introduces an alternative correlation function perspective that makes the invariance under Mobius transformations explicit and connects particle creation with energy flux in 2D CFTs.

Findings

Correlation functions reveal invariance under Mobius transformations.

Particle production is closely related to energy flux.

Moving-mirror analogy illustrates quantum and energy flux connection.

Abstract

We analyze the creation of particles in two dimensions under the action of conformal transformations. We focus our attention on Mobius transformations and compare the usual approach, based on the Bogolubov coefficients, with an alternative but equivalent viewpoint based on correlation functions. In the latter approach the absence of particle production under full Mobius transformations is manifest. Moreover, we give examples, using the moving-mirror analogy, to illustrate the close relation between the production of quanta and energy.