scholarly journals Vacuum Polarization with Zero-Range Potentials on a Hyperplane

Universe ◽  
2021 ◽  
Vol 7 (4) ◽  
pp. 92
Author(s):  
Davide Fermi
Keyword(s):  
Vacuum Polarization ◽  
Minkowski Spacetime ◽  
Local Version ◽  
Quantum Vacuum ◽  
Leading Order ◽  
Vacuum Fluctuations ◽  
Regularization Technique ◽  
Dirac Delta ◽  
Zero Range ◽  
Dirac Delta Potential

The quantum vacuum fluctuations of a neutral scalar field induced by background zero-range potentials concentrated on a flat hyperplane of co-dimension 1 in (d+1)-dimensional Minkowski spacetime are investigated. Perfectly reflecting and semitransparent surfaces are both taken into account, making reference to the most general local, homogeneous and isotropic boundary conditions compatible with the unitarity of the quantum field theory. The renormalized vacuum polarization is computed for both zero and non-zero mass of the field, implementing a local version of the zeta regularization technique. The asymptotic behaviors of the vacuum polarization for small and large distances from the hyperplane are determined to leading order. It is shown that boundary divergences are softened in the specific case of a pure Dirac delta potential.

scholarly journals THERMAL BEHAVIOR INDUCED BY VACUUM POLARIZATION ON CAUSAL HORIZONS IN COMPARISON WITH THE STANDARD HEAT BATH FORMALISM

2004 ◽  
Vol 19 (supp02) ◽  
pp. 348-362 ◽  
Author(s):  
B. SCHROER
Keyword(s):  
Vacuum Polarization ◽  
Transverse Direction ◽  
Operator Algebras ◽  
Heat Bath ◽  
Quantum Vacuum ◽  
Vacuum Fluctuations ◽  
Modular Theory ◽  
Standard Heat ◽  
Volume Dependence ◽  
Unified Description

Modular theory of operator algebras and the associated KMS property are used to obtain a unified description for the thermal aspects of the standard heat bath situation and those caused by quantum vacuum fluctuations from localization. An algebraic variant of lightfront holography reveals that the vacuum polarization on wedge horizons is compressed into the lightray direction. Their absence in the transverse direction is the prerequisite to an area (generalized Bekenstein-) behaviour of entropy-like measures which reveal the loss of purity due to restrictions to wedges and their horizons. Besides the well-known fact that localization-induced (generalized Hawking-) temperature is fixed by the geometric aspects, this area behaviour (versus the standard volume dependence) constitutes the main difference between localization-caused and standard thermal behaviour.

scholarly journals Classical enhancement of quantum vacuum fluctuations

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
V. A. De Lorenci ◽  
L. H. Ford
Keyword(s):  
Quantum Vacuum ◽  
Vacuum Fluctuations

scholarly journals Quantum Vacuum Fluctuations in a Chromomagnetic-Like Background

2018 ◽  
Vol 48 (6) ◽  
pp. 645-651
Author(s):  
V. B. Bezerra ◽  
M. S. Cunha ◽  
C. R. Muniz ◽  
M. O. Tahim
Keyword(s):  
Quantum Vacuum ◽  
Vacuum Fluctuations

scholarly journals A New Inflationary Universe Scenario with Inhomogeneous Quantum Vacuum

2018 ◽  
Vol 2018 ◽  
pp. 1-15
Author(s):  
Yilin Chen ◽  
Jin Wang
Keyword(s):  
Green’S Function ◽  
Potential Barrier ◽  
Green's Function ◽  
Inflationary Universe ◽  
Quantum Vacuum ◽  
Vacuum Fluctuations ◽  
Inflationary Scenario ◽  
Slowing Down ◽  
The Universe ◽  
Inhomogeneous Quantum

We investigate the quantum vacuum and find that the fluctuations can lead to the inhomogeneous quantum vacuum. We find that the vacuum fluctuations can significantly influence the cosmological inhomogeneity, which is different from what was previously expected. By introducing the modified Green’s function, we reach a new inflationary scenario which can explain why the Universe is still expanding without slowing down. We also calculate the tunneling amplitude of the Universe based on the inhomogeneous vacuum. We find that the inhomogeneity can lead to the penetration of the Universe over the potential barrier faster than previously thought.

scholarly journals Derivative corrections to the Heisenberg-Euler effective action

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Felix Karbstein
Keyword(s):  
Electric Fields ◽  
Effective Action ◽  
Vacuum Polarization ◽  
Strong Field ◽  
Background Field ◽  
Polarization Tensor ◽  
Quantum Vacuum ◽  
Electron Positron ◽  
Vacuum Polarization Tensor ◽  
Electron Positron Pair

Abstract We show that the leading derivative corrections to the Heisenberg-Euler effective action can be determined efficiently from the vacuum polarization tensor evaluated in a homogeneous constant background field. After deriving the explicit parameter-integral representation for the leading derivative corrections in generic electromagnetic fields at one loop, we specialize to the cases of magnetic- and electric-like field configurations characterized by the vanishing of one of the secular invariants of the electromagnetic field. In these cases, closed-form results and the associated all-orders weak- and strong-field expansions can be worked out. One immediate application is the leading derivative correction to the renowned Schwinger-formula describing the decay of the quantum vacuum via electron-positron pair production in slowly-varying electric fields.

scholarly journals Quantum vacuum fluctuations

2001 ◽  
Vol 2 (9) ◽  
pp. 1287-1298 ◽  
Author(s):  
Serge Reynaud ◽  
Astrid Lambrecht ◽  
Cyriaque Genet ◽  
Marc-Thierry Jaekel
Keyword(s):  
Quantum Vacuum ◽  
Vacuum Fluctuations
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