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This article is cited in 5 scientific papers (total in 5 papers)
Breaking the space–time translation group in the dipole field model
M. A. Soloviev P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
The impossibility of constructing a translation-invariant physical space for the massless dipole field models in two and four dimensions follows from the Lebesgue integral theory. The method of proof may also be useful for studying space–time symmetries in other models with singular behavior in the infrared domain. To fix the Hilbert majorant structure associated with an indefinite metric, we impose the condition that the majorant structure inherit the homogeneity properties from the metric.
Received: 21.01.1998
Citation:
M. A. Soloviev, “Breaking the space–time translation group in the dipole field model”, TMF, 115:2 (1998), 163–176; Theoret. and Math. Phys., 115:2 (1998), 503–512
Linking options:
https://www.mathnet.ru/eng/tmf864https://doi.org/10.4213/tmf864 https://www.mathnet.ru/eng/tmf/v115/i2/p163
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Abstract page: | 414 | Full-text PDF : | 186 | References: | 67 | First page: | 1 |
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