Evidence for Expanding Quantum Field Theory

Abstract

Present day quantum field theory (QFT) is founded on canonical quantization, which has served quite well, but also has led to several issues. The free field describing a free particle (with no interaction term) can suddenly become nonrenormalizable the instant a suitable interaction term appears. For example, using canonical quantization, ${\phi }_4^4$, has been deemed a ``free" theory with no difference from a truly free field [1], [2], [3]. Using the same model, affine quantization has led to a truly interacting theory [4]. This fact alone asserts that canonical and affine tools of quantization deserve to be open to their procedures together as a significant enlargement of QFT.

4 pages; adding affine quantization to quantum field theory

References in corpus (2)

• Marginal triviality of the scaling limits of critical 4D Ising and ${\varphi }_4^4$ models
• Affine Quantization on the Half Line