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.

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