On the Generator of Massive Modular Groups

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.

References in corpus (4)

• Modular Groups of Quantum Fields in Thermal States
• An Algebraic Spin and Statistics Theorem
• Group Cohomology, Modular Theory and Space-time Symmetries
• Geometric Modular Action, Wedge Duality and Lorentz Covariance are Equivalent for Generalized Free Fields

Cited by in corpus (6)

• Geometric modular action for disjoint intervals and boundary conformal field theory
• Modular Flow of Excited States
• Conformal mapping of Unruh temperature
• Modular Theory, Non-Commutative Geometry and Quantum Gravity
• Modular conjugations in 2D conformal field theory and holographic bit threads
• Spacelike deformations: Higher-helicity fields from scalar fields