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Branestrahlung: radiation in the particle-brane collision
High Energy Physics - Theory · Submitted 14 Dec 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We analyze this field in detail, showing that, contrary to the claims that the light-like sources should not radiate at all, the radiation is non-zero and has classically divergent spectrum.
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The abstract, sentence by sentence
We calculate the radiation accompanying gravitational collision of the domain wall and the point particle in five-dimensional spacetime. This process, which can be regarded as brane-particle bremsstrahlung, here called {\it branestrahlung}, has unusual features. Since the brane has intrinsic dynamics, it gets excited in the course of collision, and, in particular, at the moment of perforation the shock branon wave is generated, which then expands with the velocity of light. Therefore, apart from the time-like source, whose radiation can be computed in a standard way, the total radiation source contains a light-like part whose retarded field is quite non-trivial, exhibiting interesting retardation and memory effects. We analyze this field in detail, showing that, contrary to the claims that the light-like sources should not radiate at all, the radiation is non-zero and has classically divergent spectrum. We estimate the total radiation power introducing appropriate cutoffs. In passing, we explain how the sum of the non-local (with the support inside the light cone) and the local (supported on the cone) singular parts of the Green's function of the five-dimensional d'Alembert equation together define a regular functional.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We calculate the radiation accompanying gravitational collision of the domain wall and the point particle in five-dimensional spacetime. | contribution 1.00 | 0.97 | 0.05 | asserted 0.99 |
| s1 | This process, which can be regarded as brane-particle bremsstrahlung, here called {\it branestrahlung}, has unusual features. | background 0.36 | 0.30 | 0.05 | asserted 0.95 |
| s2 | Since the brane has intrinsic dynamics, it gets excited in the course of collision, and, in particular, at the moment of perforation the shock branon wave is generated, which then expands with the velocity of light. | result 0.86 | 0.74 | 0.07 | asserted 1.00 |
| s3 | Therefore, apart from the time-like source, whose radiation can be computed in a standard way, the total radiation source contains a light-like part whose retarded field is quite non-trivial, exhibiting interesting retardation and memory effects. | interpretation 0.39 | 0.46 | 0.12 | asserted 1.00 |
| s4 | We analyze this field in detail, showing that, contrary to the claims that the light-like sources should not radiate at all, the radiation is non-zero and has classically divergent spectrum. | result 0.99 | 0.92 | 0.69 | asserted 1.00 |
| s5 | We estimate the total radiation power introducing appropriate cutoffs. | contribution 0.46 | 0.94 | 0.04 | asserted 0.96 |
| s6 | In passing, we explain how the sum of the non-local (with the support inside the light cone) and the local (supported on the cone) singular parts of the Green's function of the five-dimensional d'Alembert equation together define a regular functional. | contribution 0.74 | 0.76 | 0.04 | asserted 1.00 |
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The paper
Original abstract
We calculate the radiation accompanying gravitational collision of the domain wall and the point particle in five-dimensional spacetime. This process, which can be regarded as brane-particle bremsstrahlung, here called {\it branestrahlung}, has unusual features. Since the brane has intrinsic dynamics, it gets excited in the course of collision, and, in particular, at the moment of perforation the shock branon wave is generated, which then expands with the velocity of light. Therefore, apart from the time-like source, whose radiation can be computed in a standard way, the total radiation source contains a light-like part whose retarded field is quite non-trivial, exhibiting interesting retardation and memory effects. We analyze this field in detail, showing that, contrary to the claims that the light-like sources should not radiate at all, the radiation is non-zero and has classically divergent spectrum. We estimate the total radiation power introducing appropriate cutoffs. In passing, we explain how the sum of the non-local (with the support inside the light cone) and the local (supported on the cone) singular parts of the Green's function of the five-dimensional d'Alembert equation together define a regular functional.
Human review
How the literature uses it
2 arXiv papers cite this in 7 sentences
Papers citing it · 5 sentences without a confident label
Uses its method or tool 1 paper
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We use the framework first suggested in [ref] and further developed in [ref] , which essentially consists of perturbative description of gravitational interaction of the Nambu-Goto DW and the classical point particle in Minkowski space.
Piercing of domain walls: new mechanism of gravitational radiation · Introduction · 0.99
Cites it as background 1 paper
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Note also an interesting interplay of even and odd-dimensional features encountered in the black hole-brane [ref] and the particle-brane [ref] systems.
Synchrotron radiation in odd dimensions · Introduction · 0.97
What it cites · 11 sentences without a confident label
Compares with 10 papers
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The plot is presented on Fig. [ref]. iv) The planar shock waves have the structure $ψ∼θ(t±|z|)/r$ which differs from the Aichelburg-Sexl metric [ref] $h_MN ∼c_M c_N δ(t∓z)/r$, where $c^M=(1,0,0,0,±1)$ by the degree of discontinuity: the Heaviside function versus the delta function.
Perforation of domain wall by point mass · Physical properties of the solution · 1.00
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Finally, we would like to draw attention to one peculiarity of the radiation amplitude: it exhibits the backward destructive interference between the local and nonlocal contributions, contrary to the forward destructive interference of the particle-particle bremsstrahlung [ref] and synchrotron radiation [ref] .
Synchrotron radiation from massless charge · Conclusions · 1.00
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Finally, we would like to draw attention to one peculiarity of the radiation amplitude: it exhibits the backward destructive interference between the local and nonlocal contributions, contrary to the forward destructive interference of the particle-particle bremsstrahlung [ref] and synchrotron radiation [ref] .
Transplanckian bremsstrahlung and black hole production · Conclusions · 1.00
Cites as background 25 papers
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Recently, the retarded solutions of the d'Alembert equation with light- like sources were extensively discussed in connection with the radiation problem [ref] , the memory effect [ref] and the Bondi-Metzner-Sachs asymptotic symmetries [ref] .
Examination of a simple example of gravitational wave memory · Introduction · 1.00
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Recently, the retarded solutions of the d'Alembert equation with light- like sources were extensively discussed in connection with the radiation problem [ref] , the memory effect [ref] and the Bondi-Metzner-Sachs asymptotic symmetries [ref] .
Global aspects of radiation memory · Introduction · 1.00
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Recently, the retarded solutions of the d'Alembert equation with light- like sources were extensively discussed in connection with the radiation problem [ref] , the memory effect [ref] and the Bondi-Metzner-Sachs asymptotic symmetries [ref] .
Gravitational Memory, BMS Supertranslations and Soft Theorems · Introduction · 1.00
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