Casimir energy for open membranes. (English) Zbl 0778.58071
Summary: The static potential for a membrane with a fixed smooth boundary is considered in the semiclassical approximation and in the leading order of the \(1/D\) expansion for a circular membrane.
MSC:
| 58Z05 | Applications of global analysis to the sciences |
| 81Q20 | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory |
| 83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
References:
| [1] | DOI: 10.1016/0003-4916(88)90050-4 · doi:10.1016/0003-4916(88)90050-4 |
| [2] | DOI: 10.1016/0550-3213(88)90316-1 · Zbl 0967.81531 · doi:10.1016/0550-3213(88)90316-1 |
| [3] | DOI: 10.1016/0550-3213(88)90316-1 · Zbl 0967.81531 · doi:10.1016/0550-3213(88)90316-1 |
| [4] | DOI: 10.1016/0370-2693(89)90014-2 · doi:10.1016/0370-2693(89)90014-2 |
| [5] | DOI: 10.1016/0370-2693(89)90015-4 · doi:10.1016/0370-2693(89)90015-4 |
| [6] | DOI: 10.1016/0370-2693(89)90915-5 · doi:10.1016/0370-2693(89)90915-5 |
| [7] | DOI: 10.1016/0370-1573(86)90020-7 · doi:10.1016/0370-1573(86)90020-7 |
| [8] | DOI: 10.1103/PhysRevD.20.3063 · doi:10.1103/PhysRevD.20.3063 |
| [9] | DOI: 10.1088/0305-4470/11/5/020 · doi:10.1088/0305-4470/11/5/020 |
| [10] | DOI: 10.1016/0031-8914(71)90009-7 · doi:10.1016/0031-8914(71)90009-7 |
| [11] | DOI: 10.1016/0550-3213(88)90059-4 · doi:10.1016/0550-3213(88)90059-4 |
| [12] | DOI: 10.1103/PhysRevD.24.440 · doi:10.1103/PhysRevD.24.440 |
| [13] | DOI: 10.1007/BF01626516 · Zbl 0407.58024 · doi:10.1007/BF01626516 |
| [14] | DOI: 10.1016/0370-1573(75)90051-4 · doi:10.1016/0370-1573(75)90051-4 |
| [15] | DOI: 10.1088/0264-9381/6/5/017 · Zbl 0697.58053 · doi:10.1088/0264-9381/6/5/017 |
| [16] | DOI: 10.1088/0305-4470/11/8/002 · doi:10.1088/0305-4470/11/8/002 |
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