Work

q-Plastic deformation

Year: 2003
Type: preprint
Abstract: It is known that the appearance of the order state in continuous medium is the result of the spontaneous breaking of the symmetry. The collective fashion was used in the role of carrier maintaining the order state, may be considered as plastic fashion. In other world, the order state exists because of the concentration of strength in the medium. In this case the symmetry regulates the character of this concentration. At general in the process of plastic deformation may exist as such situation : Formation of order state = Spontaneous breaking symmetry = Reconstruction of symmetry. However, in this situation the reconstruction of symmetry turns to no reduction of symmetry but to the q-symmetry. Here we, in secret sense, identity the process of reconstruction of symmetry with the process of "quantization" of group Lie in the deformation bundle . The parameters $q$ plays the role of the parameter of regulation. In this paper we used the formalism BRST to carry out the procedure of "secondary calculus".
Language: English
Open Access status: green
OpenAlex ID: W1600460676
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