From su(2) gauge theory to spin 1/2 quantum mechanics

Autor:	Zizzi, Paola, Pessa, Eliano
Rok vydání:	2011
Předmět:	Quantum Physics High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	We consider a pure SU(2) gauge theory, and make an ansatz for the gauge field, which is gauge-invariant but manifestly non-Lorentz invariant. In a limit case of the ansatz, corresponding to a vacuum solution, the SU(2) gauge field reduces to a spin 1/2 observable times the generator of a global U(1). We find that the field equations written in terms of the ansatz make explicit the presence of an anomalous current which vanishes in the vacuum. This allows to interpret the components of the U(1) field as Goldstone bosons associated with the spontaneous breaking of Lorentz symmetry. Finally, we give an interpretation of the ansatz in the context of principal fiber bundles, which enlightens the geometrical aspects of the reduction of the gauge field theory to quantum mechanics. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1104.0114 Zobrazit plný text záznamu View this record from Arxiv