activity
20202026
most citedMonte Carlo evaluation of the continuum limit of the two-point function of two Euclidean Higgs real scalar fields subject to affine quantization

17 citations · 34 across the 17 of their papers we have counts for

collaborators

19 papers

cond-mat.stat-mech2026

Diagonal Pair Coulomb Density Matrix on a Sphere: a numerical study

Riccardo Fantoni

We tabulate, on the diagonal, the th power of the primitive approximation for the pair Coulomb density matrix on a sphere, with up to , and we discuss its behavior at parti…

cond-mat.stat-mech2026

Brownian Bridge for Coherent State Path Integral Monte Carlo

Riccardo Fantoni

We propose a new Brownian bridge construction for our newly devised Coherent States Path Integral Monte Carlo algorithm. We apply it to the numerically exact calculation of the the…

cond-mat.str-el2026

Coherent State Path Integral Monte Carlo

Riccardo Fantoni

We propose a new quantum simulation method for a many body quantum liquid of identical particles at finite (non-zero) temperature. The new scheme expands the high temperature densi…

cond-mat.quant-gas2026

Path Integral Monte Carlo on a Sphere

Riccardo Fantoni

We solve numerically exactly a simple toy model to quantum general relativity or more properly to path integral on a curved space. We consider the thermal equilibrium of a quantum…

cond-mat.stat-mech2025

Quantum Hard Spheres with Affine Quantization

Riccardo Fantoni

We study a fluid of quantum hard-spheres treated with affine-quantization. Assuming that the fluid obeys to Bose-Einstein statistics we solve for its thermodynamic properties using…

cond-mat.mtrl-sci2025

Edwards Localization

Riccardo Fantoni

We study the localization problem in quantum stochastic mechanics. We start from the Edwards model for a particle in a bath of scattering centers and prove static localization of t…

physics.gen-ph2025

Polaron versus Anderson Localization

Riccardo Fantoni

We compare two kinds of affine localizations in physics: the localization in a short range polaron and the one in a Wick rotated Anderson stochastic model. The conditions on the in…

physics.gen-ph2025

Temperature of the Vacuum

Riccardo Fantoni

In a recent trilogy we proposed a Statistical Theory of General Relativity spacetime. Here we apply our new theory to determine the (energy) ``density'' and (virial) ``temperature'…

physics.gen-ph2025★ 3 cited

Thank The Quantum Realm For Nothing Ever Entering Into Black Holes

John R. Klauder, Riccardo Fantoni

While the quantum realm seems hidden, it can also reach examples of infinite energy, especially when a part of space is roughly removed until it disappears, possibly forever. Since…

physics.gen-ph2025

Sum Rules in Quantum Liquids

Riccardo Fantoni

We review the linear response theory in the horizontal quantum liquids framework spanning from Coulomb liquids to Atomic gases. There are several well known references about this s…

cs.SE2025

ICCheck: A Portable, Language-Agnostic Tool for Synchronizing Code Clones

Motoki Abe, Shinpei Hayashi

Inconsistent modifications to code clones can lead to software defects. Many approaches exist to support consistent modifications based on clone detection and/or change pattern ext…

physics.gen-ph2025

Relaxation in scalar gravitational field theory

Riccardo Fantoni

We revisit the problem of relaxation in scalar gravitational field theory proposing a novel numerical solution to the problem.

physics.gen-ph2024★ 6 cited

Statistical Gravity through Affine Quantization

Riccardo Fantoni

I propose a possible way to introduce the effect of temperature (defined through the virial theorem) into Einstein's theory of general relativity. This requires the computation of…

physics.gen-ph2024

The structure of a fluid in the canonical and in the grand canonical ensembles

Riccardo Fantoni

The ensemble inequivalence in a (unscreened) Coulomb liquid has been known since the years 1960s. The structure described by the canonical ensemble and the grand canonical ensemble…

cond-mat.stat-mech2024

A Classical Luttinger liquid

Riccardo Fantoni

We propose a binary nonadditive Asakura-Oosawa-like mixture as an example for the classical limit of a Luttinger liquid. We determine the equation of state and structure of this mi…

hep-th2024★ 3 cited

Continuum limit of the Green function in scaled affine quantum Euclidean covariant relativistic field theory

Riccardo Fantoni

We prove through path integral Monte Carlo computer experiments that the affine quantization of the scaled Euclidean covariant relativistic scalar field theory is a valid q…

cond-mat.other2023

Static screening in a degenerate electron plasma

Riccardo Fantoni

We present a self contained derivation of the Friedel oscillations in a degenerate ideal electron plasma using a not commonly known theorem on the asymptotic behavior of the Fourie…

hep-th2021★ 17 cited

Monte Carlo evaluation of the continuum limit of the two-point function of two Euclidean Higgs real scalar fields subject to affine quantization

Riccardo Fantoni, John R. Klauder

We study canonical and affine versions of the quantized covariant Euclidean Higgs scalar field-theory for two real fields on four dimensional lattices through the Monte Carlo metho…

hep-lat2020★ 5 cited

Scaled Affine Quantization of is Nontrivial

Riccardo Fantoni

We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, , where denotes the power of the interaction term and where is th…