Free Scalar Field Theory in Quantum Mechanics is a foundational framework within relativistic quantum field theory that describes non-interacting particles via solutions to the Klein-Gordon equation for scalar bosons. The core principle establishes the quantization of continuous fields into discrete harmonic oscillators, yielding Fock space representations and free propagators derived from Gaussian functional integrals. This formalism serves as the vacuum baseline upon which perturbative interactions are constructed in subsequent quantum field theoretic developments.
Prerequisite chain context: requires Fermi's Golden Rule Applied to Decay Rates.