Gauge Theory of Oriented Media

Details Gauge Theory of Oriented Media Gauge Theory of Oriented Media

1999-11-29

arxiv.org/abs/gr-qc/9911114v1

J.Phys.A33:3027-3032,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LATeX, 9 pages, no figures and tables

Scientific paper

10.1088/0305-4470/33/15/309

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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