Gupta-Feynman based Quantum Field Theory of Einstein’s Gravity

This paper is an application to Einstein’s gravity (EG) of the mathematics developed in (Plastino and Rocca 2018 <i>J. Phys. Commun.</i> 2, 115029). We will quantize EG by appeal to the most general quantization approach, the Schwinger-Feynman variational principle, which is more appropr...

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Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo
Lenguaje:Portugués
Publicado: 2020
Materias:
Ciencias Exactas
Física
quantum field theory
Einstein gravity
non-renormalizable theories
unitarity
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/128799
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-128799
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Portugués
topic Ciencias Exactas
Física
quantum field theory
Einstein gravity
non-renormalizable theories
unitarity
spellingShingle Ciencias Exactas
Física
quantum field theory
Einstein gravity
non-renormalizable theories
unitarity
Plastino, Ángel Luis
Rocca, Mario Carlos
Gupta-Feynman based Quantum Field Theory of Einstein’s Gravity
topic_facet Ciencias Exactas
Física
quantum field theory
Einstein gravity
non-renormalizable theories
unitarity
description This paper is an application to Einstein’s gravity (EG) of the mathematics developed in (Plastino and Rocca 2018 <i>J. Phys. Commun.</i> 2, 115029). We will quantize EG by appeal to the most general quantization approach, the Schwinger-Feynman variational principle, which is more appropriate and rigorous that the functional integral method, when we are in the presence of derivative couplings. We base our efforts on works by Suraj N. Gupta and Richard P. Feynman so as to undertake the construction of a Quantum Field Theory (QFT) of Einstein Gravity (EG). We explicitly use the Einstein Lagrangian elaborated by Gupta (Gupta, <i>Proc. Pys. Soc. A</i>, 65, 161) but choose a new constraint for the theory that differs from Gupta’s one. In this way, we avoid the problem of lack of unitarity for the S matrix that afflicts the procedures of Gupta and Feynman. Simultaneously, we significantly simplify the handling of constraints. This eliminates the need to appeal to ghosts for guarantying the unitarity of the theory. Our ensuing approach is obviously non-renormalizable. However, this inconvenience can be overcome by appealing tho the mathematical theory developed by (Bollini <i>et al Int. J. of Theor. Phys.</i> 38, 2315, Bollini and Rocca <i>Int. J. of Theor. Phys.</i> 43, 1909, Bollini and Rocca <i>Int. J. of Theor. Phys.</i> 43, 59, Bollini <i>et al, Int. J. of Theor. Phys.</i> 46, 3030, Plastino and Rocca <i>J. Phys. Commun.</i> 2, 115029) Such developments were founded in the works of Alexander Grothendieck (Grothendieck <i>Mem. Amer. Math Soc.</i> 16 and in the theory of Ultradistributions of Jose Sebastiao e Silva <i>Math. Ann.</i> 136, 38) (also known as Ultrahyperfunctions). Based on these works, we have constructed a mathematical edifice, in a lapse of about 25 years, that is able to quantize nonrenormalizable Field Theories(FT). Here we specialize this mathematical theory to treat the quantum field theory of Einsteins’s gravity (EG). Because we are using a Gupta-Feynman inspired EG Lagrangian, we are able to evade the intricacies of Yang-Mills theories.
format Articulo
Articulo
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Gupta-Feynman based Quantum Field Theory of Einstein’s Gravity
title_short Gupta-Feynman based Quantum Field Theory of Einstein’s Gravity
title_full Gupta-Feynman based Quantum Field Theory of Einstein’s Gravity
title_fullStr Gupta-Feynman based Quantum Field Theory of Einstein’s Gravity
title_full_unstemmed Gupta-Feynman based Quantum Field Theory of Einstein’s Gravity
title_sort gupta-feynman based quantum field theory of einstein’s gravity
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/128799
work_keys_str_mv AT plastinoangelluis guptafeynmanbasedquantumfieldtheoryofeinsteinsgravity
AT roccamariocarlos guptafeynmanbasedquantumfieldtheoryofeinsteinsgravity
bdutipo_str Repositorios
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