Recent QFT of Einstein’s Gravity Simplified via Ultrahyperfunctions

Plastino, A.; Rocca, M. C.

doi:10.4236/jmp.2020.114037

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2020

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“…The essential result of such procedures is that we can dispense with renormalization and counter-terms. The reader can consult the recent references [1] [2] [3] [4] [5]. The proofs given there are conclusive.…”

Section: Preliminariesmentioning

confidence: 91%

Quantization of Newton’s Gravity

Rocca¹,

Plastino²

2020

JMP

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In this work we will use a recently developed non relativistic (NR) quantization methodology that successfully overcomes troubles with infinities that plague non-renormalizable quantum field theories (QFTs). The ensuing methodology is here applied to Newton's gravitation potential. We employ here the concomitant mathematical apparatus to formulate the NR QFT discussed in the well known classical text-book by Fetter and Walecka. We emphasize the fact that we speak of non relativistic QFT. This is so because we appeal to Newton's gravitational potential, while in a relativistic QFT one does not employ potentials. Our main protagonist is the notion of propagator. This notion is of the essence in non relativistic quantum field theory (NR-QFT). Indeed, propagators are indispensable tools for both nuclear physics and condensed matter theory, among other disciplines. In the present work we deal with propagators for both fermions and bosons.

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