A Spectral Calculus for Lorentz Invariant Measures on Minkowski Space
This paper presents a spectral calculus for computing the spectra of causal Lorentz invariant Borel complex measures on Minkowski space, thereby enabling one to compute their densities with respect to Lebesque measure. The spectra of certain elementary convolutions involving Feynman propagators of s...
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| Veröffentlicht in: | Symmetry (Basel) 2020-10, Vol.12 (10), p.1696 |
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| creator | Mashford, John |
| description | This paper presents a spectral calculus for computing the spectra of causal Lorentz invariant Borel complex measures on Minkowski space, thereby enabling one to compute their densities with respect to Lebesque measure. The spectra of certain elementary convolutions involving Feynman propagators of scalar particles are computed. It is proved that the convolution of arbitrary causal Lorentz invariant Borel complex measures exists and the product of such measures exists in a wide class of cases. Techniques for their computation in terms of their spectral representation are presented. |
| doi_str_mv | 10.3390/sym12101696 |
| format | Article |
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| source | MDPI - Multidisciplinary Digital Publishing Institute; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Calculus Convolution Fourier transforms Integral equations Invariants Minkowski space Quantum field theory Spectra |
| title | A Spectral Calculus for Lorentz Invariant Measures on Minkowski Space |
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