# 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…

## 15 Citations

### The Casimir effect in the boundary state formalism

- Physics
- 2008

The Casimir effect in the planar setting is described using the boundary state formalism, for general partially reflecting boundaries. It is expressed in terms of the low-energy degrees of freedom,…

### Casimir Effect for a Massless Spin-3/2 Field in Minkowski Spacetime

- Physics
- 2007

The Casimir effect has been studied for various quantum fields in both flat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimir effect for massless…

### Boundary one-point function, Casimir energy and boundary state formalism in D + 1 dimensional QFT

- Mathematics
- 2007

### Finite temperature Casimir effect for scalar field with Robin boundary conditions in spacetime with extra dimensions

- Physics
- 2009

In this article, we study the finite temperature Casimir effect for scalar field with Robin boundary conditions on two parallel plates in a background spacetime that has a compact internal manifold…

### Repulsive Casimir effect from extra dimensions and Robin boundary conditions: From branes to pistons

- Mathematics
- 2009

We evaluate the Casimir energy and force for a massive scalar field with general curvature coupling parameter, subject to Robin boundary conditions on two codimension-one parallel plates, located on…

### Dynamics in the Ising field theory after a quantum quench

- Physics
- 2012

We study the real-time dynamics of the order parameter ⟨σ(t)⟩ in the Ising field theory after a quench in the fermion mass, which corresponds to a quench in the transverse field of the corresponding…

### Higgs mechanism and flavor structure from an extra dimension

- Physics
- 2014

In this dissertation, we clarify the Higgs mechanism and the flavor structure of the fermions from a viewpoint of higher dimensional gauge theories with focusing on effects of boundary conditions.…

### Quark mass hierarchy and mixing via geometry of extra dimension with point interactions

- Physics
- 2013

We propose a new model which can simultaneously and naturally explain the origins of fermion generation, quark mass hierarchy, and the Cabibbo–Kobayashi–Maskawa matrix from the geometry of an extra…

### CP phase from twisted Higgs VEV in extra dimension

- Physics
- 2013

We propose a new mechanism to generate a CP phase originating from a non-trivial Higgs vacuum expectation value in an extra dimension. A twisted boundary condition for the Higgs doublet can produce…

### Pseudo-Casimir stresses and elasticity of a confined elastomer film.

- Physics, EngineeringSoft matter
- 2016

There can be significant departures from the prediction of classical rubber elasticity theory when elastic fluctuations are included and the character of the attractive part of the elastic fluctuation-induced, or pseudo-Casimir, stress is compared with the standard thermal Casimir stress in confined but non-elastomeric systems.

## References

SHOWING 1-10 OF 91 REFERENCES

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

- Mathematics
- 2004

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

- Physics
- 1999

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

- Physics, Mathematics
- 1994

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

- Physics
- 1986

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

- Mathematics
- 2002

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

- Physics
- 2002

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

- Physics
- 1999

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…