Michele Andreoli | Searcharxiv

arXiv2025

Perihelion precession in non-Newtonian central potentials

High order corrections to the perihelion precession are obtained in non-Newtonian central potentials, via complex analysis techniques. The result is an exact series expansion whose terms, for a perturbation of the form $\delta V=\frac{\gamma}{r^{s}}$, are calculated in closed form. To validate the method, the series is applied to the specific case of s=3, and the results are compared with those presented in literature, which are relate to the Schwarzschild metric. As a further test, a numerical simulation was carried out for the case where s=4. The algebraic calculations and numerical simulations were carried out via software with symbolic capabilities.

astro-ph.EP↗

arXiv2017

Gauge-invariant screening masses and static quark free energies in $N_f = 2+1$ QCD at non-zero baryon density

We discuss the extension of gauge-invariant electric and magnetic screening masses in the Quark-Gluon Plasma to the case of a finite baryon density, defining them in terms of a matrix of Polyakov loop correlators. We present lattice results for $N_f=2+1$ QCD with physical quark masses, obtained using the imaginary chemical potential approach, which indicate that the screening masses increase as a function of $μ_B$. A separate analysis is carried out for the theoretically interesting case $μ_B/T=3 i π$, where charge conjugation is not explicitly broken and the usual definition of the screening masses can be used for temperatures below the Roberge-Weiss transition. Finally, we investigate the dependence of the static quark free energy on the baryon chemical potential, showing that it is a decreasing function of $μ_B$ which displays a peculiar behavior as the pseudocritical transition temperature at $μ_B=0$ is approached.

hep-lat↗