Curved space and amorphous structures part II. Gauge theories

1986 ◽  
Vol 27 (1) ◽  
pp. 3-35 ◽  
Author(s):  
G. Venkataraman ◽  
Debendranath Sahoo ◽  
Heisenberg
2010 ◽  
Vol 81 (4) ◽  
Author(s):  
Peter M. Lavrov ◽  
Ilya L. Shapiro

2020 ◽  
Vol 8 (4) ◽  
Author(s):  
Andrey Gromov ◽  
Piotr Surowka

We present a dual formulation of the Cosserat theory of elasticity. In this theory a local element of an elastic body is described in terms of local displacement and local orientation. Upon the duality transformation these degrees of freedom map onto a coupled theory of a U(1) vector-valued one-form gauge field and an ordinary U(1) gauge field. We discuss the degrees of freedom in the corresponding gauge theories, relation to symmetric tensor gauge theories, the defect matter and coupling to the curved space.


1985 ◽  
Vol 26 (6) ◽  
pp. 579-615 ◽  
Author(s):  
G. Venkataraman ◽  
Debendranath Sahoo

2019 ◽  
Vol 60 (1) ◽  
pp. 012304 ◽  
Author(s):  
Mojtaba Taslimi Tehrani

1989 ◽  
Vol 04 (20) ◽  
pp. 1955-1961 ◽  
Author(s):  
S.D. ODINTSOV ◽  
F. SH. ZAPIROV

The behavior of effective coupling constants in one-loop “finite” SU(2) gauge theories in curved space-time is investigated. It is shown that in strong gravitational field the effective coupling constants, corresponding to the parameters of non-minimal interaction of scalars and gravitational field, tend to the conformal values (asymptotical conformal invariance) or increase in an exponential fashion. The weak gravitational field limit is also considered in the same models.


2007 ◽  
Vol 649 (5-6) ◽  
pp. 454-462 ◽  
Author(s):  
I.L. Buchbinder ◽  
G. de Berredo-Peixoto ◽  
I.L. Shapiro

Author(s):  
T. E. Mitchell ◽  
R. B. Schwarz

Traditional oxide glasses occur naturally as obsidian and can be made easily by suitable cooling histories. In the past 30 years, a variety of techniques have been discovered which amorphize normally crystalline materials such as metals. These include [1-3]:Rapid quenching from the vapor phase.Rapid quenching from the liquid phase.Electrodeposition of certain alloys, e.g. Fe-P.Oxidation of crystals to produce amorphous surface oxide layers.Interdiffusion of two pure crystalline metals.Hydrogen-induced vitrification of an intermetal1ic.Mechanical alloying and ball-milling of intermetal lie compounds.Irradiation processes of all kinds using ions, electrons, neutrons, and fission products.We offer here some general comments on the use of TEM to study these materials and give some particular examples of such studies.Thin specimens can be prepared from bulk homogeneous materials in the usual way. Most often, however, amorphous materials are in the form of surface films or interfacial films with different chemistry from the substrates.


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