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We investigate quantum entanglement of a scalar field in the inflationary universe. By introducing a bipartite system using a lattice model of scalar field, we apply the separability criterion based on the partial transpose operation and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasusada Nambu

We investigate a class of models described by two real scalar fields in two-dimensional spacetime. The study focuses mainly on the presence of exact static solutions which satisfy the first-order formalism, in models constructed to engender…

High Energy Physics - Theory · Physics 2026-03-23 G. H. Bandeira , D. Bazeia , G. S. Santiago , Ya. Shnir

We consider holographic entanglement entropy in higher derivative gravity theories. Recently Lewkowycz and Maldacena arXiv:1304.4926 have provided a method to derive the equations for the entangling surface from first principles. We use…

High Energy Physics - Theory · Physics 2015-06-16 Arpan Bhattacharyya , Apratim Kaviraj , Aninda Sinha

Motivated by obtaining a consistent mathematical description for the radiation reaction of point charged particles in linear classical electrodynamics, a theory of generalized higher order tensors and differential forms is introduced. The…

Differential Geometry · Mathematics 2013-09-20 Ricardo Gallego Torromé

Scalar QED is studied with higher order derivatives for the scalar field kinetic energy. A local potential is generated for the gauge field due to the covariant derivatives and the vacuum with non-vanishing expectation value for the scalar…

High Energy Physics - Theory · Physics 2015-05-30 Janos Polonyi , Alicja Siwek

The entanglement entropy in a quantum field theory between two regions of space has been shown in simple cases to be proportional to the volume of the hypersurface separating the regions. We prove that this is true for a free scalar field…

High Energy Physics - Theory · Physics 2008-11-26 Micheal S. Berger , Roman V. Buniy

We study the properties of entanglement entropy among scattering particles as observed from different inertial moving frames, based on an exemplary QED process $e^+e^-\rightarrow\mu^+\mu^-$. By the explicit calculation of the Wigner…

High Energy Physics - Theory · Physics 2018-01-31 Jinbo Fan , Xinfei Li

We investigate entanglement of a quantum field in de Sitter spacetime using a particle detector model. By considering the entanglement between two comoving detectors interacting with a scalar field, it is possible to detect the entanglement…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yasusada Nambu

The ground state entanglement of the system, both in discrete-time and continuous-time cases, is quantified through the linear entropy. The result shows that the entanglement increases as the interaction between the particles increases in…

In time-independent quantum systems, entanglement entropy possesses an inherent scaling symmetry that the energy of the system does not have. The symmetry also assures that entropy divergence can be associated with the zero modes. We…

High Energy Physics - Theory · Physics 2023-07-28 S. Mahesh Chandran , S. Shankaranarayanan

We study the asymptotic growth of the entanglement entropy of ground states of non-interacting (spinless) fermions in $\mathbb R^3$ subject to a non-zero, constant magnetic field perpendicular to a plane. As for the case with no magnetic…

Mathematical Physics · Physics 2022-09-21 Paul Pfeiffer , Wolfgang Spitzer

We study solvable spin chains where either fields or couplings vary linearly in space and create a sandwich-like structure of the ground state. We find that the entanglement entropy between two halves of a chain varies logarithmically with…

Statistical Mechanics · Physics 2009-11-13 V. Eisler , F. Igloi , I. Peschel

The influence functional is derived for a massive scalar field in the ground state, coupled to a uniformly accelerating DeWitt monopole detector in $D+1$ dimensional Minkowski space. This confirms the local nature of the Unruh effect, and…

High Energy Physics - Theory · Physics 2009-10-22 J. R. Anglin

We study leading order perturbative corrections to the two point correlation function of the scalar field describing the curvature perturbation in a slow-roll inflationary background, paying particular attention to the contribution of…

High Energy Physics - Theory · Physics 2015-06-03 Wei Xue , Xian Gao , Robert Brandenberger

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks…

High Energy Physics - Theory · Physics 2008-08-14 E. Passos , L. R. Ribeiro , C Furtado , J. R. Nascimento

We revisit the problem of finding the entanglement entropy of a scalar field on a lattice by tracing over its degrees of freedom inside a sphere. It is known that this entropy satisfies the area law -- entropy proportional to the area of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Saurya Das , S. Shankaranarayanan

It is well-known that entanglement entropy in field theory at its ground state is dominated by an area law term, presenting a similarity to the entropy of black holes. It is interesting to investigate whether this similarity can be extended…

High Energy Physics - Theory · Physics 2022-06-14 Dimitrios Katsinis , Georgios Pastras

We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical…

High Energy Physics - Theory · Physics 2019-09-04 J. Angel-Ramelli , V. Giangreco M. Puletti , L. Thorlacius

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime…

High Energy Physics - Theory · Physics 2015-06-05 Robert C. Myers , Ajay Singh

We numerically explore the interplay of fractal geometry and quantum entanglement by analyzing the von Neumann entropy (known as entanglement entropy) and the entanglement contour in the scaling limit. Adopting quadratic fermionic models on…

Quantum Physics · Physics 2024-11-19 Yao Zhou , Peng Ye