Article
Astronomy & Astrophysics
Fei Gao, Joannis Papavassiliou, Jan M. Pawlowski
Summary: In this study, a comprehensive investigation of the quark sector of 2 + 1 flavor QCD was conducted using a self-consistent treatment of the Schwinger-Dyson equations for the quark propagator and the full quark-gluon vertex. The hierarchy among the vertex form factors was established, with only three dominant ones identified. The quark propagator components obtained from this approach showed excellent agreement with results from other methods and simulations, demonstrating the versatility and reliability of the present approach.
Article
Astronomy & Astrophysics
L. Albino, A. Bashir, A. J. Mizher, A. Raya
Summary: This study investigates the effects of a refined electron-photon vertex on the dynamical breaking of chiral symmetry in reduced quantum electrodynamics. The constructed educated ansatz for the vertex satisfies the required discrete symmetries and reproduces its perturbative limit in the weak coupling regime. The dynamically generated electron mass and its dependence on electromagnetic coupling are found to follow Miransky scaling law.
Article
Mathematics, Applied
Xinyang Li, Jing Mao, Lingzhong Zeng
Summary: This paper studies the eigenvalues of bi-drifting Laplacian, establishes a universal inequality for bi-drifting Laplacian with a specific class of potential functions on the hyperbolic space, and investigates the asymptotic behavior of the eigenvalues as the bounded domain tends to the hyperbolic space.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2022)
Article
Engineering, Multidisciplinary
Jyoti Shetty, G. Sudhakara, Vinay Madhusudanan
Summary: E. Sampathkumar has generalized a graph to a semigraph by allowing an edge to have more than two vertices. This article solves the issue of when a semigraph is complete, which relates to a problem noted by Gauss in 1796 about triangular numbers.
AIN SHAMS ENGINEERING JOURNAL
(2021)
Article
Astronomy & Astrophysics
Alexandre F. Falcao, Orlando Oliveira
Summary: The analytic structure of two flavorful QCD lattice Landau gauge quark propagators is examined using Pade approximants, which indicate the absence of complex momentum poles for the propagator. However, a real on-axis negative Euclidean momentum pole is observed, indicative of an effective quark mass. This pole is consistent with phenomenological effective quark models and shows a correlation with the pion mass. Slight differences between the poles for the two quark form factors suggest either a limitation of the method or the absence of a spectral representation for the quark propagator.
Article
Mathematics, Applied
Yasunori Kimura, Keisuke Shindo
Summary: The asymptotic behavior of resolvents of a proper convex lower semicontinuous function is studied in various spaces, with a focus on the complete geodesic space and a sequence of functions. The result is obtained by assuming the Mosco convergence of sets of minimizers of these functions.
Article
Mathematics
Yasunori Kimura, Keisuke Shindo
Summary: In this article, the equilibrium problems and their resolvents on complete geodesic spaces are discussed. The asymptotic behavior and continuity of resolvents with positive parameter in a complete geodesic space with bounded curvature are considered. Furthermore, these results are applied to resolvents of convex functions.
DEMONSTRATIO MATHEMATICA
(2023)
Article
Astronomy & Astrophysics
A. C. Aguilar, M. N. Ferreira, J. Papavassiliou
Summary: This study presents a detailed derivation of the non-Abelian Ward identity obeyed by the pole-free part of the three-gluon vertex in the soft gluon limit, and determines the displacement that the onset of the Schwinger mechanism produces to the standard result. The results obtained through two independent methods are in excellent coincidence, providing a self-consistency check for the entire approach. The statistical significance of the resulting signal is estimated to be 3 standard deviations compared to the null hypothesis.
Article
Mathematics, Applied
Jiying Ma, Haimiao Ren
Summary: In this paper, a stochastic one-prey and two-predator model with Holling II functional response and disease in the prey is formulated and investigated. The existence and uniqueness of global positive solution is proved using conventional methods. For the stochastic model, the asymptotic behavior around all of the five equilibrium points is investigated and a unique ergodic stationary distribution is proved to exist under certain conditions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Physics, Multidisciplinary
A. V. Belitsky, L. V. Bork, A. F. Pikelner, V. A. Smirnov
Summary: We study the Sudakov form factor in the off-shell kinematic regime of planar N=4 supersymmetric Yang-Mills theory, which is achieved by considering the theory on its Coulomb branch. We show that both the infrared-divergent and finite terms exponentiate up to three loops, with the coefficient determined by the octagon anomalous dimension. This behavior contradicts previous conjectural accounts. We also find that the logarithm of the Sudakov form factor is equivalent to twice the logarithm of the null octagon O0, which has a closed form expression for all values of the 't Hooft coupling constant and kinematical parameters.
PHYSICAL REVIEW LETTERS
(2023)
Article
Multidisciplinary Sciences
Janejira Laomala, Keaitsuda Maneeruk Nakprasit, Kittikorn Nakprasit, Watcharintorn Ruksasakchai
Summary: This paper investigates the concepts of equitable coloring and tree coloring of graphs, introduces the notion of strong equitable vertex arboricity, and provides results for complete bipartite graphs and balanced complete k-partite graphs.
Article
Materials Science, Multidisciplinary
Markus Mehnert, Mokarram Hossain, Paul Steinmann
Summary: The study presents a comprehensive experimental investigation on the behavior of electro-active polymers under thermo-electro-mechanical loads, aiming to develop a coupled model that closely replicates the polymer's response. The model is calibrated and validated with experimental data, showing excellent agreement with findings.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Astronomy & Astrophysics
Shirley Weishi Li, Peter Lowdon, Orlando Oliveira, Paulo J. Silva
Summary: The existence of BRST symmetry in non-perturbative QCD imposes constraints on the ghost and gluon spectra, but this interconnection is violated in actual data, indicating that continuum and current lattice formulations in Landau gauge represent two distinct realisations of Yang-Mills theory.
Article
Engineering, Multidisciplinary
Frits Veerman, Nikola Popovic, Carsten Marr
Summary: Stochastic gene expression in regulatory networks is typically modeled using the chemical master equation (CME). Approximations are often necessary due to the lack of explicit solutions. A recent analytical method based on time scale separation has shown promise in efficiently approximating propagators for parameter inference and model identification in simulated data.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
(2022)
Article
Mathematics, Applied
Fatih Say
Summary: This paper discusses how to characterize the asymptotic behavior of a singular linear differential equation using exponential asymptotics. It focuses on the series representation of a general second-order differential equation and the relationship between the prefactor functions and the singulant of the expansion. By establishing this relationship, one can directly uncover and investigate invisible exponentially small terms and Stokes phenomenon without additional work for specific types of equations.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2022)
Editorial Material
Chemistry, Physical
Carlo Rovelli
Summary: Scientists can provide governments with essential knowledge to make informed decisions, but ultimately the decision-making power still lies with the government.
Article
Quantum Science & Technology
Andrea Di Biagio, Pietro Dona, Carlo Rovelli
Summary: The operational formulations of quantum theory show time orientation, while microscopic physics is time-symmetric. This tension is not a reflection of a fundamental time orientation in physics, but stems from assumptions about the users of the theory. These formalisms are designed for predicting the future based on information about the past, with main mathematical objects containing implicit assumptions about the past rather than the future. The main asymmetry in quantum theory lies in the difference between knowns and unknowns.
Article
Astronomy & Astrophysics
Carlo Rovelli
Summary: The author discusses two promising phenomenological windows on quantum gravity and argues that there are already important empirical inputs that can guide research in this field.
Article
Astronomy & Astrophysics
Jonathan Engle, Carlo Rovelli
Summary: We shed light on the appearance of accidental flatness constraint in certain limits of covariant loop quantum gravity amplitudes and show that it is harmless by demonstrating its analogy to accidental constraints in transition amplitudes of simple systems.
CLASSICAL AND QUANTUM GRAVITY
(2022)
Article
Physics, Multidisciplinary
Carlo Rovelli
Summary: According to Bohmian mechanics, we can only observe particles, not the pilot wave directly. However, in order to make accurate predictions, we need to have knowledge about the wave. This article shows that the problem can be solved through decoherence.
FOUNDATIONS OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Carlo Rovelli
Summary: This study examines the physical nature of traces and suggests that macroscopic information originates from past low entropy, based on the quantification of thermodynamical conditions and the relationship with information storage.
Article
Philosophy
Carlo Rovelli
Summary: This passage discusses a common fallacy of disregarding the inadequacies and misleading nature of old concepts when acquiring knowledge.
Article
Astronomy & Astrophysics
Marios Christodoulou, Andrea Di Biagio, Richard Howl, Carlo Rovelli
Summary: Gravity mediated entanglement (GME) has been proposed as a testable signature of quantum gravity, but the extent to which this effect is attributed to quantum gravity is debated. In this note, we argue that the observation of GME provides new insights into gravity compared to previous experiments. We discuss various aspects, including a quantum reference frame treatment and the relevance of the Newtonian limit, that help pinpoint the degree of freedom responsible for the effect. Overall, experiments attempting to detect GME would be interesting as they have the potential to falsify theories and reveal novel aspects of gravity.
CLASSICAL AND QUANTUM GRAVITY
(2023)
Article
Astronomy & Astrophysics
Sina Kazemian, Mateo Pascual, Carlo Rovelli, Francesca Vidotto
Summary: The existence of an area gap as predicted by loop quantum gravity removes a main objection to the scenario where a black hole may leave a remnant with a large amount of stored information at the end of its evaporation. We have modeled the emission from these remnants and derived properties of the diffuse radiation emitted by a population of such objects. By measuring the frequency and energy density of this radiation, it is possible to estimate the mass of the parent black holes and the remnant density, if the age of the population is known.
CLASSICAL AND QUANTUM GRAVITY
(2023)
Article
Physics, Multidisciplinary
Marios Christodoulou, Andrea Di Biagio, Markus Aspelmeyer, Caslav Brukner, Carlo Rovelli, Richard Howl
Summary: The interest in laboratory detection of entanglement mediated by gravity arises from an information-theoretic argument that entanglement mediated by a local field certifies the non-classical nature of the field. Previous derivations of this effect assumed gravity to be instantaneous, but here we derive it from linearized quantum general relativity while explicitly maintaining Lorentz invariance using the path-integral formalism. In this framework, entanglement is clearly demonstrated to be mediated by the quantum nature of the field. We also highlight the possibility of observing retarded entanglement, which cannot be explained by instantaneous interaction. This experiment is challenging for gravity but plausible for the analogous electromagnetic case.
PHYSICAL REVIEW LETTERS
(2023)
Article
Astronomy & Astrophysics
Carlo Rovelli
Summary: Peculiar phenomena occur in the discretization of a system invariant under reparametrization. The structure of the continuum limit is markedly different from the usual case, such as in lattice QCD. These phenomena are crucial for understanding the continuum limit of quantum gravity.
Article
Astronomy & Astrophysics
Antoine Rignon-Bret, Carlo Rovelli
Summary: This study presents an exact solution to the Maxwell-Einstein equations, describing the collapse and bounce of a charged spherical mass at the same space location. The solution is locally isometric to the Reissner-Nordström metric and depends on seven parameters. It sheds light on the fate of black holes and discusses the potential effects of classical instabilities and Hawking radiation.
Article
Astronomy & Astrophysics
Farshid Soltani, Carlo Rovelli, Pierre Martin-Dussaud
Summary: Researchers in this study have derived an explicit expression for the transition amplitude from black hole to white hole horizon using covariant loop quantum gravity.
Article
Astronomy & Astrophysics
Fabio D'Ambrosio, Marios Christodoulou, Pierre Martin-Dussaud, Carlo Rovelli, Farshid Soltani
Summary: At the end of Hawking radiation, the horizon of a black hole enters a physical region where quantum gravity cannot be ignored. The physics of this region has not been thoroughly explored, but a technique to study it has been introduced.
Article
Astronomy & Astrophysics
Emanuele Alesci, Gioele Botta, Giovanni Luzi, Gabriele Stagno
