Addendum to "Relational Hamiltonian for group field theory"

TL;DR

This paper extends the Hamiltonian formalism for a new class of group field theory actions with local kinetic terms, maintaining the main cosmological results from previous work.

Contribution

It introduces a Hamiltonian framework for group field theories with derivative-dependent local kinetic terms, broadening the scope of prior models.

Findings

Main cosmological results extend to new kinetic term class

Hamiltonian formalism applicable to derivative-dependent actions

Coupling of magnetic indices in the kinetic term analyzed

Abstract

In this addendum to [Phys. Rev. D 99 (2019) 086017], we extend the construction of a Hamiltonian formalism to a new class of group field theory actions with a kinetic term that is local in the group variables and depends only on their derivatives; such a kinetic term will couple magnetic indices of opposite sign in the Peter-Weyl decomposition. The main results of [Phys. Rev. D 99 (2019) 086017] for the resulting cosmology extend to this case.