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The interaction of a quantum field with a background containing a Dirac delta function with support on a surface of codimension 1 represents a particular kind of matching conditions on that surface for the field.
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F. Bastianelli and C. Schubert, “One loop photon graviton mixing in an electromagnetic field. I,” JHEP 0502
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G. Barton, “Casimir Effects for a Flat Plasma Sheet: I. Energies,” J. Phys. A 38
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G. Barton, “Casimir Effects for a Flat Plasma Sheet: II. Fields and Stresses,” J. Phys. A 38
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M. Bordag, I. G. Pirozhenko and V. V. Nesterenko, “Spectral analysis of a flat plasma sheet model,” J. Phys. A 38
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F. Bastianelli and P. van Nieuwenhuizen, “Path integrals and anomalies in curved space,” Cambridge, UK: Univ. Pr. (2006) 379 P
M. Bordag, “Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation,” Phys. Rev. D 75
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M. Bordag, “Interaction of a charge with a thin plasma sheet,” Phys. Rev. D 76
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F. Bastianelli, O. Corradini and E. Latini, “Spinning particles and higher spin fields on (A)dS backgrounds,” JHEP 0811
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F. Bastianelli, O. Corradini and P. A. G. Pisani, “Scalar Field with Robin Boundary Conditions in the Worldline Formalism,” J. Phys. A 41
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F. Bastianelli, O. Corradini, P. A. G. Pisani and C. Schubert, “Scalar heat kernel with boundary in the worldline formalism,” JHEP 0810
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2006
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H. Gies and K. Klingmuller, “Quantum energies with worldline numerics,” J. Phys. A 39
2006
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H. Gies and K. Klingmuller, “Worldline algorithms for Casimir configurations,” Phys. Rev. D 74
2006
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H. Gies and K. Klingmuller, “Casimir edge effects,” Phys. Rev. Lett. 97
2006
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M. Bordag, “The Casimir effect for thin plasma sheets and the role of the surface plasmons,” J. Phys. A 39
2006
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F. Bastianelli, O. Corradini and E. Latini, “Higher spin fields from a worldline perspective,” JHEP 0702
2007
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F. Bastianelli, O. Corradini and P. A. G. Pisani, “Worldline approach to quantum field theories on flat manifolds with boundaries,” JHEP 0702
2007
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K. Klingmuller and H. Gies, “Geothermal Casimir Phenomena,” J. Phys. A 41
2008
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M. Bordag and N. Khusnutdinov, “On the vacuum energy of a spherical plasma shell,” Phys. Rev. D 77
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2009
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G. Dunne, H. Gies, K. Klingmuller and K. Langfeld, “Worldline Monte Carlo for fermion models at large N f N_{f} ,” JHEP 0908
2009
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M. Bordag, “Ultraviolet divergences, repulsive forces and a spherical plasma shell,” J. Phys. Conf. Ser. 161
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A. Weber and H. Gies, “Non-monotonic thermal Casimir force from geometry-temperature interplay,” Phys. Rev. Lett. 105
2010
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