On the Generator of Massive Modular Groups

TL;DR

This paper explores the transition from massless to massive modular actions in quantum field theory, focusing on the infinitesimal generator of the massive modular automorphism group and verifying assumptions in specific examples.

Contribution

It provides new insights into the structure of the massive modular automorphism group and verifies key assumptions through concrete examples.

Findings

Explicit verification of assumptions for the generator in specific cases

Enhanced understanding of the transition from massless to massive modular actions

Analysis of the infinitesimal generator structure in quantum field theory

Abstract

The purpose of this paper is to shed more light on the transition from the known massless modular action to the wanted massive one in the case of forward light cones and double cones. The infinitesimal generator of the massive modular automorphism group is investigated, in particular, some assumptions on its structure are verified explicitly for two concrete examples.