Quantum vacuum fluctuation effects in a quasi-periodically identified conical spacetime

de Farias, K. E. L.; Mota, H. F. Santana

doi:10.48550/arxiv.2005.03815

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…Having come thus far, we end this section with a study of the correlator involving fields satisfying quasi-periodic boundary condition φ(z, t, r, θ + 2π q ) = e −2πiβ φ(z, t, r, θ), (3.19) where 0 ≤ β ≤ 1. For earlier studies along this direction, see for example [17], [36].…”

Section: Twisted Scalarmentioning

confidence: 99%

Milne Spacetime with Conical Defect: Some Holographic Studies

Mishra¹,

Mukherji²,

Srivastava³

2022

Preprint

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In this work, we initiate a holographic study of field theory on time dependent background with conical defect. We focus on the Milne space-time to which, in the absence of cosmological constant, at late time any hyperbolic Friedmann-Robertson-Walker metric flows to. When the Milne vacuum is represented by the adiabatic one, we are able to compute the two point correlators of operators which are dual to the massive scalars in the bulk AdS-Milne background with defect. We find, for both twisted and untwisted operators, the correlators can be represented as the sum over images. This sum can be carried out explicitly to write the results in compact forms. * We are still grieving the loss of our friend and collaborator Swayamsidha Mishra who passed away while this work was being finished. Her invaluable contributions and dedication to this work will always be remembered.

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Section: Twisted Scalarmentioning

confidence: 99%

Milne Spacetime with Conical Defect: Some Holographic Studies

Mishra¹,

Mukherji²,

Srivastava³

2022

Preprint

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“…Before doing that, let us remind that although the Euclidean heat kernel provides a divergent contribution to the Casimir energy densities (47) and (49), it gives a finite contribution to the temperature correction expression on the second term on the r.h.s of Eq. (28). By Substituting the Euclidean heat kernel (45) in the expression for ∆F present in Eq.…”

Section: A Equation Of Motion and Heat Kernelmentioning

confidence: 99%

“…In such tiny devices the Casimir forces could cause the mechanical components to collapse and adhere to nearby surfaces which may result in a device malfunction, or if properly engineered it can give the device an 'anti-stiction" property. In particular, if one considers the Casimir effect for nanotubes (cylinder structures at the nanoscale), the link between the quantum field and the structure is represented by a quasi-periodic condition where the phase angle mimics the conductivity properties of the nanotubes [27,28].…”

Section: Introductionmentioning

confidence: 99%

Thermal Casimir effect for the scalar field in flat spacetime under a helix boundary condition

Aleixo,

Mota

2021

Preprint

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In this work we consider the generalized zeta function method to obtain temperature corrections to the vacuum (Casimir) energy density, at zero temperature, associated with quantum vacuum fluctuations of a scalar field subjected to a helix boundary condition and whose modes propagates in (3+1)-dimensional Euclidean spacetime. We find closed and analytical expressions for both the two-point heat kernel function and free energy density in the massive and massless scalar field cases. In particular, for the massless scalar field case, we also calculate the thermodynamics quantities internal energy density and entropy density, with their corresponding high-and low-temperature limits. We show that the temperature correction term in the free energy density must suffer a finite renormalization, by subtracting the scalar thermal blackbody radiation contribution, in order to provide the correct classical limit at high temperatures. We check that, at low temperature, the entropy density vanishes as the temperature goes to zero, in accordance with the third law of thermodynamics. We also point out that, at low temperatures, the dominant term in the free energy and internal energy densities is the vacuum energy density at zero temperature. Finally, we also show that the pressure obeys an equation of state.

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Quantum vacuum fluctuation effects in a quasi-periodically identified conical spacetime

Cited by 2 publications

References 31 publications

Milne Spacetime with Conical Defect: Some Holographic Studies

Milne Spacetime with Conical Defect: Some Holographic Studies

Thermal Casimir effect for the scalar field in flat spacetime under a helix boundary condition

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