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Gauge Theory of Oriented Media

Ivangoe B. Pestov
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Abstract

The concept of wave field is introduced to represent oriented media. The wave field is a tensor field of second rank, and directors are its eigenvectors. This exhibition of directors defines a natural gauge group inherit in continua and allows one to derive from variational principle general relativistic and gauge invariant equations for the wave field in question. Thus, the gauge-theoretical approach to continuum with internal degrees of freedom gives unambiguous and minimally coupled theory.

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Ivangoe B. Pestov. 1999-11-29. Gauge Theory of Oriented Media. https://doi.org/10.1088/0305-4470%2F33%2F15%2F309

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