By A. Cemal Eringen, Erdogan S. Suhubi
ISBN-10: 0122406028
ISBN-13: 9780122406027
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Extra info for Elastodynamics: Linear Theory v. 2
Sample text
This has the effect of removing all the analytic dependence on ~. An equivalent way to understand this phenomenon is to study the theory at large (relative to the cutoff) fixed area A. Then the correlation functions on the sphere have the form A r for some constant r. For r :::; -1, the integral over A diverges for small A. This is the origin of the additive constant. For r < -1 and not an integer, the universal term is proportional to ~ ~r~ I. For r an integer smaller than or equal to -1, the situation is more complicated.
Laurent Baulieu THE CASE OF DIFFEOMORPHISM INVARIANCE The approach followed to obtain the Langevin equations, Eqs. (5), can be applied to other gauge invariances. 5 If one considers, for instance, diffeomorphism invariance, Eqs. (15) are replaced by the following ones: Stopgij = 'I'ij Stopt Stop'll ij Stop + gikdjgk + gjkdlk + gk dkgij = i + edjgi = gikd/pk + gjkdik + k dkgij + 'I'ikdjgk + 'I'jk dig k + gk dk 'I' ij (19) = jdjt - edji. In this case the drift force v is a vector field Vi.
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Elastodynamics: Linear Theory v. 2 by A. Cemal Eringen, Erdogan S. Suhubi
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