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We investigate two-dimensional higher derivative gravitational theories in a Riemann-Cartan framework and obtain the most general static black hole solutions in conformal coordinates. We also consider the hamiltonian formulation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Mignemi

The non-relativistic quantum field theoretic lagrangian which describes an anyon system in the presence of an electromagnetic field is identified. A non-minimal magnetic coupling to the Chern-Simons statistical field as well as to the…

High Energy Physics - Theory · Physics 2012-03-15 J. L. Cortes , J. Gamboa , L. Velazquez

In this paper, we study the relativistic and nonrelativistic Landau levels for Dirac fermions in the cosmic string spacetime in the context of rainbow gravity in $(3+1)$-dimensions, where we work with the curved Dirac equation with minimal…

General Relativity and Quantum Cosmology · Physics 2024-03-05 R. R. S. Oliveira

The description of black holes in loop quantum gravity is a hard and tricky task. In this article, we focus on a minisuperspace approach based on a polymerization procedure. We consider the resulting effective metric and study the…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Flora Moulin , Killian Martineau , Julien Grain , Aurélien Barrau

A relativistic particle in an attractive Coulomb field as well as a static and spherically symmetric gravitational field is studied. The gravitational field is treated perturbatively and the energy levels are obtained for both spin 0…

General Relativity and Quantum Cosmology · Physics 2011-01-28 Leila Ramezan , Mohammad Khorrami

The significant global spin alignment observed for $\phi$ mesons in heavy-ion collisions has sparked intense discussions about its origin and implications. One explanation suggests that fluctuations in the strong force field may introduce…

Nuclear Theory · Physics 2024-08-01 Diyu Shen , Jinhui Chen , Aihong Tang

We propose relativistic Luttinger fermions as a new ingredient for the construction of fundamental quantum field theories. We construct the corresponding Clifford algebra and the spin metric for relativistic invariance of the action using…

High Energy Physics - Theory · Physics 2024-10-01 Holger Gies , Philip Heinzel , Johannes Laufkötter , Marta Picciau

The Mashhoon rotation-spin coupling is studied by means of the parallelism description of general relativity. The relativistic rotational tetrad is exploited, which results in the Minkowski metric, and the torsion axial-vector and Dirac…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. M. Zhang

The leading corrections to General Relativity can be parametrized by higher-derivative interactions in a low-energy effective field theory, in a way that is general and agnostic to the precise UV completion of gravity. Using numerical…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Pedro G. S. Fernandes

In a previous work [arXiv1905.01121] we have derived a quantum master equation for the dynamics of a scalar bosonic particle interacting with a weak, stochastic and classical gravitational field. As standard matter is made of fermions, such…

Quantum Physics · Physics 2021-07-21 Lorenzo Asprea , Giulio Gasbarri

The self-conjugate Dirac Hamiltonian is obtained in the Kerr-Newman field. A transition is implemented to a Schr\"odinger-type relativistic equation. For the case where the angular and radial variables are not separated, the method of…

General Relativity and Quantum Cosmology · Physics 2018-06-12 V. P. Neznamov , V. E. Shemarulin

Quantum field theory is mostly known as the most advanced and well-developed theory in physics, which combines quantum mechanics and special relativity consistently. In this work, we study the spinless quantum field theory, namely the…

General Physics · Physics 2013-03-08 Dong-Sheng Wang

The inertial and gravitational properties of intrinsic spin are discussed and some of the recent work in this area is briefly reviewed. The extension of relativistic wave equations to accelerated systems and gravitational fields is…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Bahram Mashhoon

We present a simple method to derive the semiclassical equations of motion for a spinning particle in a gravitational field. We investigate the cases of classical, rotating particles (pole-dipole particles), as well as particles with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Leclerc

In this paper, we study the relativistic energy spectrum for Dirac fermions under rainbow gravity effects in the $(3+1)$-dimensional Bonnor-Melvin-Lambda spacetime, where we work with the curved Dirac equation in cylindrical coordinates.…

General Relativity and Quantum Cosmology · Physics 2024-05-22 R. R. S. Oliveira

Dynamical Chern-Simons gravity is an interesting extension of General Relativity, which finds its way in many different contexts, including string theory, cosmological settings and loop quantum gravity. In this theory, the gravitational…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Paolo Pani , Vitor Cardoso , Leonardo Gualtieri

This work is mainly devoted to constructing a multisymplectic description of Lovelock's gravity, which is an extension of General Relativity. We establish a Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric…

Mathematical Physics · Physics 2020-10-05 Santiago Capriotti , Jordi Gaset , Narciso Román-Roy , Leandro Salomone

We investigate the cubic interactions of a massless higher-spin fermion with gravity in flat space and present covariant 2-s-s vertices, compatible with the gauge symmetries of the system, preserving parity. This explicit construction…

High Energy Physics - Theory · Physics 2015-06-17 Marc Henneaux , Gustavo Lucena Gomez , Rakibur Rahman

Relativistic fermions on a lattice are shown to correspond to the $fluctuations$ in the localized nonrelativistic fermions. Therefore, in contrast to nonrelativistic case, the relativistic fermions are critical with universal exponents…

Disordered Systems and Neural Networks · Physics 2007-05-23 Indubala I Satija

An heuristic semiclassical procedure that incorporates quantum gravity induced corrections in the description of photons and spin 1/2 fermions is reviewed. Such modifications are calculated in the framework of loop quantum gravity and they…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luis Urrutia