Article
Materials Science, Multidisciplinary
A. Andolsi, Y. Chargui, A. Dhahbi, A. Trabelsi
Summary: This paper examines the impact of the Snyder-de Sitter (SdS) algebra on the free Dirac equation and the dynamics of the (1 + 1)-dimensional Generalized Relativistic Harmonic Oscillator (GRHO). The oscillator equation is solved analytically using momentum representation, and exact normalized wave functions are obtained in terms of Gegenbauer polynomials along with their corresponding energy equation. The study shows that the presence of minimal length and minimal momentum can significantly affect the spectroscopy of the system. The Dirac oscillator and other important specific cases are also discussed.
RESULTS IN PHYSICS
(2023)
Article
Physics, Nuclear
Lakhdar Sek, Mokhtar Falek, Mustafa Moumni
Summary: This article analytically studies the two-dimensional deformed bosonic oscillator equation for charged particles in a uniform magnetic field, taking into account minimal uncertainty in momentum and using the NU method for system solving. Exact energy eigenvalues and wave functions are obtained for both Klein-Gordon and scalar DKP cases, with the deformed spectrum remaining discrete even for large principal quantum numbers. In the spin 1 DKP case, the behavior of the DKP equation is deduced, showing that space deformation introduces a new spin-orbit interaction proportional to its parameter. Thermodynamic properties of the system are investigated, with the effects of deformation on statistical properties found to be significant only in the high-temperature regime.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2021)
Article
Astronomy & Astrophysics
Yang Zhang, Xuan Ye
Summary: The Maxwell field with a general gauge fixing term has nontrivial properties. We derive the complete set of solutions in de Sitter space and carry out covariant canonical quantization. The resulting stress tensor is independent of the gauge fixing constant and is invariant under the quantum residual gauge transformation.
Article
Physics, Particles & Fields
Ion I. Cotaescu
Summary: This study explores the first-order perturbations of de Sitter QED in Coulomb gauge, using a new vacuum definition that favors transitions between neutral states. The derived probabilities exhibit new logarithmic singularities at critical positions, influencing the fermion creation model. Regularization is applied to eliminate these singularities.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Physics, Particles & Fields
Sergio E. Aguilar-Gutierrez, Thomas Hertog, Rob Tielemans, Jan Pieter van der Schaar, Thomas Van Riet
Summary: This study investigates wormholes supported by axion flux, which have compact, one-handle structures. It reveals an upper bound on the axion flux and the suppression of wormholes compared to the round sphere. Additionally, the presence of the axion field leads to a reversal of the arrow of time through a quantum bounce.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
K. Narayan
Summary: We refine previous investigations on de Sitter space and extremal surfaces anchored at the future boundary I+. These surfaces require extra data or boundary conditions in the past and have real and positive areas, except for an overall -i factor relative to spacelike surfaces in AdS. By considering two aspects of time-entanglement in toy models, we find entirely positive structures in a future-past thermofield double type state and complex-valued entropy in the time evolution operator and reduced transition amplitudes.
Article
Physics, Particles & Fields
Jose Luis Blazquez-Salcedo, Xiao Yan Chew, Jutta Kunz, Dong-han Yeom
Summary: Traversable wormholes with anti-de Sitter asymptotics supported by a phantom field are massless and symmetric with respect to reflection of the radial coordinate. They possess an unstable radial mode similar to their asymptotically flat counterparts.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Astronomy & Astrophysics
Brayden R. Hull, Robert B. Mann
Summary: We demonstrate the existence of asymptotically de Sitter black holes of negative mass in Lovelock gravity. These black holes have horizon geometries with nonconstant curvature and are known as exotic black holes. We specifically study the case of Gauss-Bonnet gravity. We discuss the impact of transverse space geometry on the existence of black holes for both positive and negative mass solutions and provide closed form bounds for geometric parameters.
Article
Physics, Particles & Fields
Taishi Kawamoto, Shan-Ming Ruan, Yu-ki Suzuki, Tadashi Takayanagi
Summary: This work investigates the application of the holographic principle to cosmologies like de Sitter spacetime. By analyzing the holographic entanglement entropy in a half dS spacetime and comparing it with AdS/CFT, the study suggests that gravity on a half dSd+1 is dual to a highly non-local field theory residing on dSd boundary.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Himanshu Gaur, Urjit A. Yajnik
Summary: In this paper, we investigate the relationship between entanglement and global internal symmetries in de Sitter space. By considering causally disconnected regions with symmetric properties, we examine the long range correlations in de Sitter space through studying the entanglement between these regions. We focus on the free complex scalar field and the free Dirac field on de Sitter space, both possessing global internal U(1) symmetry, and analyze the symmetry resolved entanglement entropy in the Bunch-Davies vacuum state. We find that the symmetry resolved entanglement entropy exhibits equipartition into local charge sectors up to terms of order O(1/VH3) in the limit of large VH3.
Article
Mathematics
S. Carolina Garcia-Martinez, Pascual Lucas, H. Fabian Ramirez-Ospina
Summary: In De Sitter space S-1(3) ? R-1(4) or anti de Sitter space H-1(3) ? R-2(4), for an orientable surface M-s(2) of L-1-2 type, the conditions of having constant principal curvature, constant mean curvature, and constant second mean curvature are equivalent. It is also shown that an L-1-2 type surface is either an open portion of a standard pseudo Riemannian product, or a B-scroll over a null curve, or has non-constant mean curvature, Gaussian curvature, and principal curvatures.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
(2023)
Article
Astronomy & Astrophysics
Joao P. B. Brito, Rafael P. Bernar, Luis C. B. Crispino
Summary: In this study, we investigate the scalar radiation emitted by a source orbiting a Schwarzschild-anti-de Sitter black hole in circular geodesics. We compare the emitted power with that in other spacetimes and find different patterns of enhancement depending on the multipole modes.
Article
Astronomy & Astrophysics
Christiane Klein, Jochen Zahn
Summary: The Hadamard point-split renormalization of the current density of a charged scalar field in a Reissner-Nordstrom-de Sitter spacetime was performed, with numerical computations of the expectation values in the Unruh state in the exterior region. The study examined the dependence on field parameters and position.
Article
Astronomy & Astrophysics
Chitraang Murdia, Yasunori Nomura, Kyle Ritchie
Summary: This article describes two different but equivalent semiclassical views, both of which can accommodate the equivalence principle and unitarity. In one view, unitarity is inherently built-in, while the black hole interior only emerges effectively as a collective phenomenon involving horizon (and possibly other) degrees of freedom. In the other, more widely studied approach, the existence of the interior is manifest, but the unitarity of the underlying dynamics can only be captured indirectly by incorporating certain nonperturbative effects of gravity. These two pictures correspond to a distant description and a description based on entanglement islands/replica wormholes, respectively. The existence of these two approaches is rooted in the two formulations of quantum mechanics: the canonical and path integral formalisms.
Article
Physics, Particles & Fields
A. F. Santos, S. C. Ulhoa, T. F. Furtado, Faqir C. Khanna
Summary: This paper explores the link between gravity and temperature, focusing on describing the physical mechanisms of various gravitational effects and discussing how temperature can impact de Sitter space-time. The effects of temperature are introduced using thermo field dynamics formalism, leading to the derivation of the gravitational Stefan-Boltzmann law. The discussion also covers the Unruh-type effect and gravitational Casimir effect in de Sitter space-time.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Astronomy & Astrophysics
Michele Arzano, Jerzy Kowalski-Glikman
Article
Astronomy & Astrophysics
Andrzej Borowiec, Lennart Brocki, Jerzy Kowalski-Glikman, Josua Unger
Article
Astronomy & Astrophysics
Michele Arzano, Jerzy Kowalski-Glikman, Wojciech Wislicki
Article
Astronomy & Astrophysics
Remigiusz Durka, Jerzy Kowalski-Glikman
Article
Astronomy & Astrophysics
M. Arzano, L. Brocki, J. Kowalski-Glikman, M. Letizia, J. Unger
Article
Physics, Particles & Fields
Jerzy Kowalski-Glikman, Jerzy Lukierski, Tomasz Trzesniewski
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Andrzej Borowiec, Lennart Brocki, Jerzy Kowalski-Glikman, Josua Unger
Summary: In this paper, the structure of the algebra of extended BMS symmetries in 3 and 4 spacetime dimensions is discussed, revealing that these algebras contain an infinite number of distinct Poincare subalgebras, a fact previously noted only in the 3 dimensional case. These subalgebras are used to construct an infinite number of different Hopf algebras as quantum deformations of the BMS algebras. Different types of twist-deformations and dual Hopf algebras are also discussed, which could be interpreted as noncommutative, extended quantum spacetimes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Remigiusz Durka, Jerzy Kowalski-Glikman
Summary: This study investigates the boundary structure of gravity theory formulated as a constrained BF theory, and explores the influence of the cosmological constant and topological terms. The established charges formulas are affected by the presence of the cosmological constant and topological terms. The charges in the AdS-Schwarzschild solution give correct values.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Review
Multidisciplinary Sciences
Michele Arzano, Jerzy Kowalski-Glikman
Summary: This review provides a basic introduction to the kappa-deformed relativistic phase space and free quantum fields, discussing the construction of the kappa-deformed phase space of a classical relativistic particle using Lie bi-algebras and Poisson-Lie groups after reviewing the kappa-Poincare algebra. It also talks about how to construct a free scalar field theory on the non-commutative kappa-Minkowski space associated with kappa-Poincare and demonstrates how the group valued nature of momenta affects field propagation.
Article
Physics, Particles & Fields
Andrzej Borowiec, Jerzy Kowalski-Glikman, Josua Unger
Summary: This paper studies the quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions, classifies all possible Lie bialgebra structures and explicitly constructs related Hopf algebras. It is found that some incarnations of K-Poincare cannot be extended consistently to infinite dimensional algebras, but certain deformations may have potential physical applications when considering subalgebras.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Remigiusz Durka, Jerzy Kowalski-Glikman
Summary: In this article, we study two BF formulations of gravity, Plebanski theory and MacDowell-Mansouri theory, which both have a negative cosmological constant. While both theories give the standard Einstein equations in the bulk, they differ in the expressions of edge charges. We explicitly compute the asymptotic charges for AdS-Schwarzschild, AdS-Kerr, and AdS-Taub-NUT solutions, and we find that the charges diverge in Plebanski theory but are finite in MacDowell-Mansouri theory. Furthermore, we demonstrate that the MacDowell-Mansouri asymptotic charges, action, and symplectic form are all finite for arbitrary asymptotically AdS spacetimes. Therefore, the MacDowell-Mansouri theory of gravity in asymptotically AdS spaces does not require any counterterms.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Laurent Freidel, Jerzy Kowalski-Glikman, Robert G. Leigh, Djordje Minic
Summary: In this essay, a new understanding of the cosmological constant problem is presented, emphasizing the relationship between vacuum energy and entropy. By introducing a UV-IR regularization and combining it with the holographic bound on entropy, a bound on the cosmological constant consistent with observations is derived. This suggests that the universe is large and the cosmological constant is naturally small due to the presence of a large number of degrees of freedom.
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
(2023)
Article
Astronomy & Astrophysics
Michele Arzano, Jerzy Kowalski-Glikman
Summary: We argue that the concept of identical particles is no longer well defined in quantum systems governed by noncommutative deformations of spacetime symmetries. Such models are characterized by a non-Abelian Lie group in four-momentum space. Our analysis shows that for states containing multiple particles, only the total momentum of the system is a well-defined quantum number, obtained from the non-Abelian composition of individual momenta. We also demonstrate that previous attempts to construct Fock spaces for these models have been unsuccessful due to incorrect assumptions and solve a long-standing problem in the field regarding the covariant nature of momentum quantum numbers under relativistic transformations.
Article
Astronomy & Astrophysics
Jerzy Kowalski-Glikman, Giacomo Rosati
Article
Astronomy & Astrophysics
Laurent Freidel, Jerzy Kowalski-Glikman, Robert G. Leigh, Djordje Minic
