Quantum field theory, Feynman-, Wheeler propagators, dimensional regularization in configuration space and convolution of Lorentz Invariant Tempered Distributions

A Plastino, MC Rocca - Journal of Physics Communications, 2018 - iopscience.iop.org
Abstract The Dimensional Regularization (DR) of Bollini and Giambiagi (BG) can not be
defined for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) …

Finite Tsallis gravitational partition function for a system of galaxies

M Hameeda, B Pourhassan, MC Rocca… - General Relativity and …, 2021 - Springer
In this paper, we will study the large scale structure formation using the gravitational partition
function. We will assertively argue that the system of gravitating galaxies can be analyzed …

Convolution of Lorentz invariant ultradistributions and field theory

CG Bollini, MC Rocca - International Journal of Theoretical Physics, 2004 - Springer
A general definition of convolution between two arbitrary four-dimensional Lorentz invariant
(fdLi) tempered ultradistributions is given, in both Minkowski and Euclidean space …

Convolution of ultradistributions, field theory, Lorentz invariance and resonances

CG Bollini, P Marchiano, MC Rocca - International Journal of Theoretical …, 2007 - Springer
In this work, a general definition of convolution between two arbitrary Ultradistributions of
Exponential type (UET) is given. The product of two arbitrary UET is defined via the …

Gupta-feynman based quantum field theory of einstein's gravity

A Plastino, MC Rocca - Journal of Physics Communications, 2020 - iopscience.iop.org
This paper is an application to Einstein's gravity (EG) of the mathematics developed in
(Plastino and Rocca 2018 J. Phys. Commun. 2, 115029). We will quantize EG by appeal to …

[BOOK][B] Dimensional Regularization and Non-Renormalizable Quantum Field Theories

MC Rocca, A Plastino - 2021 - books.google.com
One major problem of contemporary physics is posed by the incompatibility of the two
greatest theories of the 20th century: quantum mechanics (QM) and general relativity (GR) …

Statistical mechanics description of an empirical scenario in which gravity was discussed when coupled to a harmonic oscillator

M Hameeda, A Plastinor, MC Rocca - International Journal of …, 2024 - World Scientific
We attempt to construct a (two-dimensional) statistical mechanics description of the scenario
in which the experiment in [T. Westphal et al., Nature 591, 225 (2021)] was made. It includes …

Non-relativistic quantum field theory of Verlinde's emergent entropic gravity

A Plastino, MC Rocca - Annals of Physics, 2020 - Elsevier
Non relativistic quantum field theory propagators are indispensable tools in nuclear physics
and condensed matter theory. Here we apply them to gravitation, that is, discuss a non …

Two approaches that prove divergence free nature of non-local gravity

M Hameeda, B Pourhassan, MC Rocca… - The European Physical …, 2021 - Springer
This paper is an attempt to study the thermodynamics of the structure formation in the large
scale universe in the non local gravity using Boltzmann statistics and the Tsallis statistics …

Dimensionally regularized Tsallis' statistical mechanics and two-body Newton's gravitation

JD Zamora, MC Rocca, A Plastino, GL Ferri - Physica A: Statistical …, 2018 - Elsevier
Typical Tsallis' statistical mechanics' quantifiers like the partition function and the mean
energy exhibit poles. We are speaking of the partition function Z and the mean energy< U> …