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This article is cited in 8 scientific papers (total in 8 papers)
Lorentz-Covariant Ultradistributions, Hyperfunctions, and Analytic Functionals
M. A. Soloviev P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
We generalize the theory of Lorentz-covariant distributions to broader classes of functionals including ultradistributions, hyperfunctions, and analytic functionals with a tempered growth. We prove that Lorentz-covariant functionals with essential singularities can be decomposed into polynomial covariants and establish the possibility of the invariant decomposition of their carrier cones. We describe the properties of odd highly singular generalized functions. These results are used to investigate the vacuum expectation values of nonlocal quantum fields with an arbitrary high-energy behavior and to extend the spin-statistics theorem to nonlocal field theory.
Received: 15.05.2001
Citation:
M. A. Soloviev, “Lorentz-Covariant Ultradistributions, Hyperfunctions, and Analytic Functionals”, TMF, 128:3 (2001), 492–514; Theoret. and Math. Phys., 128:3 (2001), 1252–1270
Linking options:
https://www.mathnet.ru/eng/tmf511https://doi.org/10.4213/tmf511 https://www.mathnet.ru/eng/tmf/v128/i3/p492
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Abstract page: | 362 | Full-text PDF : | 186 | References: | 38 | First page: | 1 |
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