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In QTF theory book of Schoeder say:

In nonlinear sigma model L=[itex]\int[/itex]dx[itex]\frac{1}{2g^{2}}[/itex]([itex]\delta[/itex]

[itex]_{\mu}[/itex]n[itex]^{\rightarrow}[/itex])(consider2<d<4 where d is the dimension number of spacetime).If we consider the Lagrangian as the Boltzman weight of a partition function,then the dimensionless coupling square(g)M[itex]^{d-2}[/itex] is proportional with temperature.But I do not understand why?

Thank you very much in advance

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# Why dimensionless coupling in nonlinear sigma model corresponding to temperature?

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