Casimir Energy in (2 + 1)-Dimensional Field Theories
- URL: http://arxiv.org/abs/2405.03768v1
- Date: Mon, 6 May 2024 18:08:31 GMT
- Title: Casimir Energy in (2 + 1)-Dimensional Field Theories
- Authors: Manuel Asorey, Claudio Iuliano, Fernando Ezquerro,
- Abstract summary: Two types of boundary conditions give rise to two different exponential decay regimes of the Casimir energy at large distances.
Non-perturbative numerical simulations and analytical arguments show such an exponential decay for Dirichlet boundary conditions of SU(2) gauge theories.
- Score: 44.99833362998488
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We explore the dependence of vacuum energy on the boundary conditions for massive scalar fields in (2 + 1)-dimensional spacetimes. We consider the simplest geometrical setup given by a two-dimensional space bounded by two homogeneous parallel wires in order to compare it with the non-perturbative behaviour of the Casimir energy for non-Abelian gauge theories in (2 + 1) dimensions. Our results show the existence of two types of boundary conditions which give rise to two different asymptotic exponential decay regimes of the Casimir energy at large distances. The two families are distinguished by the feature that the boundary conditions involve or not interrelations between the behaviour of the fields at the two boundaries. Non-perturbative numerical simulations and analytical arguments show such an exponential decay for Dirichlet boundary conditions of SU(2) gauge theories. The verification that this behaviour is modified for other types of boundary conditions requires further numerical work. Subdominant corrections in the low-temperature regime are very relevant for numerical simulations, and they are also analysed in this paper.
Related papers
- Duality via Sequential Quantum Circuit in the Topological Holography Formalism [1.8578899895817111]
We show that duality in the Topological Holography formalism can be realized with a Sequential Quantum Circuit applied to the top boundary.
As a consequence, the Hamiltonians before and after the duality mapping have exactly the same spectrum in the corresponding symmetry sectors.
arXiv Detail & Related papers (2024-09-10T17:05:40Z) - Casimir Physics beyond the Proximity Force Approximation: The Derivative
Expansion [49.1574468325115]
We review the derivative expansion (DE) method in Casimir physics, an approach which extends the proximity force approximation (PFA)
We focus on different particular geometries, boundary conditions, types of fields, and quantum and thermal fluctuations.
arXiv Detail & Related papers (2024-02-27T19:56:52Z) - Interior analysis, stretched technique and bubbling geometries [2.5240171181791276]
We perform a detailed analysis of quarter BPS bubbling with AdSs geometries and their corresponding duality relations with their dual states in the quantum field theory side.
We derive generalized Laplace-type equations with sources, obtained from linearized Monge-Ampere equations, and used for boundaryally AdS geometry.
arXiv Detail & Related papers (2023-12-27T23:59:12Z) - Dynamical Casimir effect for fermions in 2+1 dimensions [0.0]
We study the fermion pair creation phenomenon due to the time dependence of curves, where boundary conditions are imposed on a Dirac field in 2+1 dimensions.
We show that the pair creation effect is maximized for bag boundary conditions, obtained for a particular value of that parameter.
arXiv Detail & Related papers (2023-08-06T16:54:29Z) - Entanglement entropy in conformal quantum mechanics [68.8204255655161]
We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain.
States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.
arXiv Detail & Related papers (2023-06-21T14:21:23Z) - Fermion production at the boundary of an expanding universe: a cold-atom
gravitational analogue [68.8204255655161]
We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime.
We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
arXiv Detail & Related papers (2022-12-02T18:28:23Z) - Long-distance entanglement of purification and reflected entropy in
conformal field theory [58.84597116744021]
We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy.
We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
arXiv Detail & Related papers (2021-01-29T19:00:03Z) - Quantum vacuum effects in braneworlds on AdS bulk [0.0]
Two geometries are considered: a brane parallel to the AdS boundary and a brane intersecting the AdS boundary.
The contribution in the vacuum expectation value (VEV) of the energy-momentum tensor is separated explicitly.
The influence of the gravitational field on the local properties of the quantum vacuum is essential at distance from the brane.
arXiv Detail & Related papers (2020-09-17T14:01:17Z) - Electromagnetic field correlators and the Casimir effect for planar
boundaries in AdS spacetime with application in braneworlds [0.0]
We evaluate the correlators for the vector potential and for the field strength tensor of the electromagnetic field in AdS spacetime.
By using the expressions for the correlators, the vacuum expectation values (VEVs) of the photon condensate and of the electric and magnetic fields squared are investigated.
arXiv Detail & Related papers (2020-09-04T08:52:44Z) - Radiative topological biphoton states in modulated qubit arrays [105.54048699217668]
We study topological properties of bound pairs of photons in spatially-modulated qubit arrays coupled to a waveguide.
For open boundary condition, we find exotic topological bound-pair edge states with radiative losses.
By joining two structures with different spatial modulations, we find long-lived interface states which may have applications in storage and quantum information processing.
arXiv Detail & Related papers (2020-02-24T04:44:12Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.