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We consider quantum gravitational corrections to the Oppenheimer-Snyder metric describing time-dependent dust ball collapse. The interior metric also describes Friedmann-Lemaitre-Robertson-Walker cosmology and our results are interpreted in…

High Energy Physics - Theory · Physics 2023-10-25 Xavier Calmet , Roberto Casadio , Stephen D. H. Hsu , Folkert Kuipers

We show that the Majorana fermion zero modes in the cores of odd winding number vortices of a 2D $p_x+ip_y$-paired superconductor is due to an index theorem. This theorem is analogous to that proven by Jackiw and Rebbi for the existence of…

Strongly Correlated Electrons · Physics 2007-07-25 Sumanta Tewari , S. Das Sarma , Dung-Hai Lee

We study the Euclidean effective action and the full fermion propagator for a Dirac field in the presence of a scalar field with a domain wall defect, in 2+1 dimensions. We include quantum effects due to both fermion and scalar field…

High Energy Physics - Theory · Physics 2007-05-23 C. D. Fosco

In Article I, a harmonic-oscillator model of a universe of n quarks is infinitesimally modified to eliminate the background reference frame. As a result, quark trajectories exhibit the unification of gravity and the harmonic oscillator near…

High Energy Physics - Theory · Physics 2007-05-23 Marcia J. King

We study Dirac quasinormal modes of Schwarzschild-Anti-de Sitter (Schwarzschild-AdS) black holes, following the generic principle for allowed boundary conditions proposed in \cite{PhysRevD.92.124006}. After deriving the equations of motion…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Mengjie Wang , Carlos Herdeiro , Jiliang Jing

We study the propagation of massless fermionic fields, implementing a family of special functions: Heun functions, in solving the wave equation in three three-dimensional backgrounds, including the BTZ black hole in string theory and…

High Energy Physics - Theory · Physics 2024-12-13 F. Naderi , A. Rezaei-Aghdam

The dynamical transport properties near the integer quantum Hall transition are investigated at zero temperature by means of the Dirac fermion approach. These properties have been studied experimentally at low frequency omega and low…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Jug , K. Ziegler

Starting with a new theory of symmetries generated by isometries in field theories with spin, one finds the generators of the spinor representation in backgrounds with a given symmetry. In this manner one obtains a collection of conserved…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ion I Cotăescu

Recently the modified Dirac equation with Lorentz invariance violation has been proposed, which would be helpful to resolve some issues in quantum gravity theory and high energy physics. In this paper, the modified Dirac equation has been…

High Energy Physics - Theory · Physics 2014-02-14 Shu-Zheng Yang , Kai Lin , Jin Li , Qing-Quan Jiang

Gapped fermion theories with gapless boundary fermions can exist in any number of dimensions. When the boundary has even space-time dimensions and hosts chiral fermions, a quantum Hall current flows from the bulk to the boundary in a…

High Energy Physics - Theory · Physics 2023-07-12 Srimoyee Sen , Semeon Valgushev

We consider a fermion in the presence of a rotating black hole immersed in a universe with positive cosmological constant. After deriving new formulae for the event, Cauchy and cosmological horizons we adopt the Carter tetrad to separate…

General Relativity and Quantum Cosmology · Physics 2018-07-13 D. Batic , K. Morgan , M. Nowakowski , S. Bravo Medina

No-hair theorems exclude the existence of nontrivial scalar and massive vector hair outside four-dimensional, static, asymptotically flat black-hole spacetimes. We show, by explicitly building nonlinear solutions, that black holes can…

General Relativity and Quantum Cosmology · Physics 2013-09-09 Richard Brito , Vitor Cardoso , Paolo Pani

String theory is a promising candidate for a fundamental quantum theory of all interactions including Einstein gravity. Some solutions in string theory can be interpreted as black holes. Using the semi-analytic method and WKB method,the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Xin-zhou Li , Jian-gang Hao , Dao-jun Liu

The quantum mechanics of black holes in generic 2-D dilaton gravity is considered. The Hamiltonian surface terms are derived for boundary conditions corresponding to an eternal black hole with slices on the interior ending on the horizon…

High Energy Physics - Theory · Physics 2009-10-30 A. Barvinsky , G. Kunstatter

The quasi-normal modes for black holes are the resonances for the scattering of incoming waves by black holes. Here we consider scattering of massless uncharged Dirac fields propagating in the outer region of de…

Mathematical Physics · Physics 2017-05-18 Alexei Iantchenko

We consider the model of Dirac fermions coupled to gravity as proposed in \cite{VolovikBH}, in which superluminal velocities of particles are admitted. In this model an extra term is added to the conventional Hamiltonian that originates…

General Relativity and Quantum Cosmology · Physics 2019-06-28 M. Lewkowicz , M. A. Zubkov

We study the problem of the quantization of the massive charged Dirac field on a naked Reissner-Nordstr\"{o}m background. We show that the introduction of an anomalous magnetic moment for the electron field allows a well--defined quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-31 F. Belgiorno , M. Martellini , M. Baldicchi

In the present paper we study the scalar sector of the quasinormal modes of charged general relativistic, static and spherically symmetric black holes coupled to nonlinear electrodynamics and embedded in a class of scalar-tensor theories.…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Daniela D. Doneva , Stoytcho S. Yazadjiev , Kostas D. Kokkotas , Ivan Zh. Stefanov

The spectrum of the fermion zero modes in the vicinity of the vortex with fractional winding number is discussed. This is inspired by the observation of the 1/2 vortex in high-temperature superconductors (Kirtley, et al, Phys. Rev. Lett. 76…

Condensed Matter · Physics 2009-10-28 G. E. Volovik

Given that black holes are ubiquitous in the universe and axion-like scalar fields are potential candidates for dark energy and/or dark matter, it is natural to consider cosmological black holes endowed with axion hair. We investigate the…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Sugumi Kanno , Jiro Soda , Akira Taniguchi