DOI: 10.3390/quantum6020010 ISSN: 2624-960X
Continuum Limit of the Green Function in Scaled Affine φ44 Quantum Euclidean Covariant Relativistic Field Theory
Riccardo Fantoni- Physics and Astronomy (miscellaneous)
- Astronomy and Astrophysics
- Atomic and Molecular Physics, and Optics
- Statistical and Nonlinear Physics
Through path integral Monte Carlo computer experiments, we prove that the affine quantization of the φ44-scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory with a well-defined continuum limit of the one- and two-point functions. Affine quantization leads to a completely satisfactory quantization of field theories in situations involving scaled behavior, leading to an unexpected term, ℏ2/φ2, which arises only in the quantum aspects.