Quantization of the scalar field in a static quantum metric
Z. Haba (Wroclaw University)
TL;DR
This paper explores how a static quantum metric influences the behavior of scalar quantum fields, deriving a functional integral formula for the propagator and demonstrating significant modifications to the scalar propagator and Yukawa potential.
Contribution
It introduces a Hamiltonian formulation for scalar fields in a quantum metric and derives a new functional integral representation for the propagator.
Findings
Quantum metric alters scalar propagator behavior
Effective Yukawa potential is significantly modified
Functional integral formula for propagator derived
Abstract
We investigate the Hamiltonian formulation of quantum scalar fields in a static quantum metric. We derive a functional integral formula for the propagator. We show that the quantum metric substantially changes the behaviour of the scalar propagator and the effective Yukawa potential.
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