Reentrant violation of special relativity in the low-energy corner

Details Reentrant violation of special relativity in the low-energy corner Reentrant violation of special relativity in the low-energy corner

2001-01-25

arxiv.org/abs/hep-ph/0101286v1

Pisma Zh.Eksp.Teor.Fiz. 73 (2001) 182-185; JETP Lett. 73 (2001) 162-165

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX file, 5 pages, one figure, submitted to JETP Lett

Scientific paper

10.1134/1.1368706

In the effective relativistic quantum field theories the energy region, where the special relativity holds, can be sandwiched from both the high and low energies sides by domains where the special relativity is violated. An example is provided by 3He-A where the relativistic quantum field theory emerges as the effective theory. The reentrant violation of the special relativity in the ultralow energy corner is accompanied by the redistribution of the momentum-space topological charges between the fermionic flavors. At this ultralow energy an exotic massless fermion with the topological charge $N_3=2$ arises, whose energy spectrum mixes the classical and relativistic behavior. This effect can lead to neutrino oscillations if neutrino flavors are still massless at this energy scale.

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