Thermal Casimir interactions for higher derivative field Lagrangians: generalized Brazovskii models

@article{Dean2020ThermalCI,
  title={Thermal Casimir interactions for higher derivative field Lagrangians: generalized Brazovskii models},
  author={D. Dean and Bingyou Miao and R. Podgornik},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2020},
  volume={53}
}
We examine the Casimir effect for free statistical field theories which have Hamiltonians with second order derivative terms. Examples of such Hamiltonians arise from models of non-local electrostatics, membranes with non-zero bending rigidities and field theories of the Brazovskii type that arise for polymer systems. The presence of a second derivative term means that new types of boundary conditions can be imposed, leading to a richer phenomenology of interaction phenomena. In addition zero… 

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