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| Content Provider | Springer Nature Link |
|---|---|
| Author | Dai, De Chang Stojkovic, Dejan |
| Copyright Year | 2013 |
| Abstract | It is well known that the scalar field Green’s function in odd dimensions has a tail, i.e. a non-zero support inside the light cone, which in turn implies that the Huygens’ principle is violated. However, the reason behind this behavior is still not quite clear. In this paper we shed more light on the physical origin of the tail by regularizing the term which is usually ignored in the literature since it vanishes due to the action of the delta function. With this extra term the Green’s function does not satisfy the source-free wave equation (in the region outside of the source). We show that this term corresponds to a charge imprinted on the light-cone shell. Unlike the vector field charge, a moving scalar field charge is not Lorentz invariant and is contracted by a $$\sqrt {1 - v^2 }$$ factor. If a scalar charge is moving at the speed of light, it appears to be zero in the static (with respect to the original physical charge) observer’s frame. However, the field it sources is not entirely on the light cone. Thus, it is likely that this hidden charge sources the mysterious tail in odd dimensions. |
| Starting Page | 1 |
| Ending Page | 8 |
| Page Count | 8 |
| File Format | |
| Journal | The European Physical Journal Plus |
| Volume Number | 128 |
| Issue Number | 10 |
| e-ISSN | 21905444 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2013-10-23 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Applied and Technical Physics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics |
| Content Type | Text |
| Resource Type | Article |
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