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Gauge Theory of Defect Systems and Equivalence Principle
Author(s) -
Holz A.
Publication year - 1987
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221440106
Subject(s) - equivalence (formal languages) , gauge theory , equivalence principle (geometric) , theoretical physics , mathematics , gravitation , introduction to gauge theory , gauge (firearms) , weak equivalence , equivalence relation , pure mathematics , physics , classical mechanics , geometry , mathematical physics , archaeology , history
Abstract A gauge theory of solid and liquid systems is developed based on sets of point like particles using simplicial and differential geometric methods. The proper use of the equivalence principle in the context of describing defect systems by means of gauge theory is worked out. The break‐down of the equivalence principle in the liquid state or highly defected state as a consequence of change of local order is discussed and alternatives are pointed out. Some applications of the theory to two‐dimensional systems using complex function theory are given and simple extensions of such defect structures to three dimensions are compared to space‐time structures in 2 + 1‐dimensional gravitation.