Casimir force between planes as a boundary finite size effect

@article{Bajnok2005CasimirFB,
  title={Casimir force between planes as a boundary finite size effect},
  author={Zolt{\'a}n Bajnok and L{\'a}szl{\'o} Palla and G{\'a}bor Tak{\'a}cs},
  journal={Physical Review D},
  year={2005},
  volume={73},
  pages={065001}
}
The ground state energy of a boundary quantum field theory is derived in planar geometry in D+1-dimensional spacetime. It provides a universal expression for the Casimir energy which exhibits its dependence on the boundary conditions via the reflection amplitudes of the low energy particle excitations. We demonstrate the easy and straightforward applicability of the general expression by analyzing the free scalar field with Robin boundary condition and by rederiving the most important results… 

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References

SHOWING 1-10 OF 91 REFERENCES

Casimir effect for the scalar field under Robin boundary conditions: a functional integral approach

In this work we show how to define the action of a scalar field such that the Robin boundary condition is implemented dynamically, i.e. as a consequence of the stationary action principle. We discuss

The Casimir Effect: Physical Manifestations of Zero-Point Energy

Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In these lectures I present the theory of the Casimir effect, primarily

Boundary S matrix and boundary state in two-dimensional integrable quantum field theory

We study integrals of motion and factorizable S matrices in two-dimensional integrable field theory with boundary. We propose the "boundary cross-unitarity equation," which is the boundary analog of

Volume dependence of the energy spectrum in massive quantum field theories

Due to polarization effects, the massM of a stable particle in a quantum field theory enclosed in a large (space-like) box of sizeL and periodic boundary conditions in general differs from its

Boundary reduction formula

An asymptotic theory is developed for general non-integrable boundary quantum field theory in 1 + 1 dimensions based on the Lagrangian description. Reflection matrices are defined to connect

Casimir effect for scalar fields under Robin boundary conditions on plates

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions (1 + βmnμ∂μ) = 0 at x = am on one (m = 1) and two (m = 1, 2) parallel plates at a

The O(dd) story of massive supergravity

The low energy effective action describing the standard Kaluza-Klein reduction of heterotic string theory on a d-torus possesses a manifest O(d,d+16) symmetry. We consider generalized Scherk-Schwarz
...