arXiv subjects

I. G. Márián

Publications and source records attributed to I. G. Márián.

5 recordsLinked to original sources

arXiv2026

From negative to positive cosmological constant through decreasing temperature of the Universe: connection with string theory and spacetime foliation results

String theories naturally predict a negative, while observations on the exponential expansion of the present Universe require a positive value for the cosmological constant. Solution to resolve this discrepancy is known in the framework of string theory however, it might describe unstable worlds. Other options include modified $Λ$CDM models with sign switching cosmological constant (known as $Λ_s$ cosmology), but the sign flip is introduced into the models {\bf {\it ad hoc}}. Additional studies consider Asymptotically Safe (AS) quantum gravity by using Renormalization Group (RG), however their disadvantage is the omission of temperature which is otherwise crucial in the early Universe. Here we present a proposal for resolving this conflict by using a modified thermal RG method where the temperature parameter $T$ is given by the inverse radius of the compactified time-like dimension, similarly to spacetime foliation. In our scenario not the dimensionful $T$, but the dimensionless temperature $τ= T/k$ is kept constant when the RG scale $k$ is sent to zero and string theory is assumed to take place at very high while AS quantum gravity at intermediate and low temperatures. We show that the modified thermal RG study of AS quantum gravity models at very high temperatures results in a negative cosmological constant while turns it into a positive parameter for low temperatures.

gr-qc↗

arXiv2026

Spatially focused magnetic hyperthermia: comparison of MRSh and sLLG equations

Magnetic hyperthermia with metallic nanoparticles is a therapeutic strategy that relies on heating cancer cells to levels sufficient to damage or destroy them. After injection, the nanoparticles accumulate in tumor tissues, where they transfer energy from the applied time-dependent magnetic field to the surrounding medium, thereby increasing the local temperature. This heating effect can be spatially focused (superlocalized) by combining AC and DC magnetic fields. Heat generation arises either from the rotation of the particle or from the rotation of its magnetic moment. The theoretical framework is provided by the Martsenyuk-Raikher-Shliomis (MRSh) equation for the former and the stochastic Landau-Lifshitz-Gilbert (sLLG) equation for the latter. However, by using the concept of magnetic and ordinary viscosity, the results of these approaches can be directly compared, which is our goal in this work, with special emphasis on their ability to achieve spatial localization. On the basis of this comparison, we propose the use of perpendicular AC and DC magnetic fields for image-guided thermal therapy with magnetic particle imaging.

cond-mat.soft↗

arXiv2025

Thermal RG Flow of AS Quantum Gravity

We perform the thermal Renormalization Group (RG) study of the Asymptotically Safe (AS) quantum gravity in the Einstein-Hilbert truncation by relating the temperature parameter to the running RG scale as $T \equiv k_T = τk$ (in natural units) in order to determine its thermal evolution in terms of the dimensionless temperature $τ$ which is associated with the temperature of the expanding Universe. Thus, $k_T$ and $k$ are understood as running cutoffs for thermal and quantum fluctuations, respectively. Quantum effects are taken into account by moving along the thermal RG trajectory with fixed value of $τ$ producing the quantum effective action at a given dimensionless temperature. The $τ$-evolution of the dimensionless Newton coupling $g(τ)$ and the dimensionless cosmological constant $λ(τ)$ results in a vanishing $g$-coordinate of the Reuter (i.e., non-Gaussian UV) fixed point in the high temperature limit ($τ\to \infty$) which means that only the symmetric phase of AS gravity survives at $τ= \infty$. Thus, in case of large temperatures the cosmological constant takes on a negative value in the limit $k\to 0$ which was also initially predicted by certain string theories, however, in our approach this is not in disagreement with observations, since during the thermal evolution of the Universe a phase transition occurs and the cosmological constant runs to the expected positive value at low temperatures.

gr-qc↗

arXiv2024

New upper bound of muon neutrino mass in a short-baseline experiment

In the paper Int.J.Mod.Phys.E 23 (2014) 1450004, the potential of short-baseline experiments was proposed to measure the mass (and parameters of Lorentz-violating effects) of the muon neutrino, where a roughly estimated upper bound of 420 eV was given as a possibility with large unknown uncertainties. In the present work, we improve upon this study by focusing on a feasible and improved experimental setup with today's technology, eliminating most large uncertainties, with the use of the Geant4 simulation toolkit. High-energy protons collide with a tungsten target, producing a variety of particles, most importantly pions that decay into muon neutrinos. The detector records the time of flight for both muon and anti-muon neutrinos, utilizing light as a reference signal. Additionally, it captures the energy deposited by neutrinos. By applying the dispersion relation, we determine the muon and/or anti-muon neutrino mass. Our improved results reveal a less optimistic but more accurate and realistic estimated upper bound of the muon neutrino mass, providing a new limit of about 150 keV. Notably, this finding is a factor of three lower than the best upper bound previously established in the literature originating from pion decay in flight.

hep-ph↗

arXiv2019

Berezinskii-Kosterlitz-Thouless transition and criticality of an elliptic deformation of the sine-Gordon model

We introduce and study the properties of a periodic model interpolating between the sine-- and the sinh--Gordon theories in $1+1$ dimensions. This model shows the peculiarities, due to the preservation of the functional form of their potential across RG flows, of the two limiting cases: the sine-Gordon, not having conventional order/magnetization at finite temperature, but exhibiting Berezinskii-Kosterlitz-Thouless (BKT) transition; and the sinh-Gordon, not having a phase transition, but being integrable. The considered interpolation, which we term as {\em sn-Gordon} model, is performed with potentials written in terms of Jacobi functions. The critical properties of the sn-Gordon theory are discussed by a renormalization-group approach. The critical points, except the sinh-Gordon one, are found to be of BKT type. Explicit expressions for the critical coupling as a function of the elliptic modulus are given.

hep-th↗