Spontaneous symmetry breaking in a classical particle

Details Spontaneous symmetry breaking in a classical particle Spontaneous symmetry breaking in a classical particle

2003-08-23

arxiv.org/abs/hep-th/0308160v1

Rev.Mex.Fis. 49 (2003) 364-370

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 17 pages, in Spanish, accepted for publication in Revista Mexicana de Fisica

Scientific paper

Due to the fact that only matter fields have phase, frequently is believed that the gauge principle can induce gauge fields only in quantum systems. But this is not necessary. This paper, of pedagogical scope, presents a classical system constituted by a particle in a classical potential, which is used as a model to illustrate the gauge principle and the spontaneous symmetry breaking. Those concepts appear in the study of second order phase transitions. Ferroelectricity, ferromagnetism, superconductivity, plasmons in a free electron gas, and the mass of vector bosons in the gauge field Yang-Mills theories, are some of the phenomena in which these transitions occur.

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