(adsbygoogle = window.adsbygoogle || []).push({}); The Immirzi limit--1108.0832, 1105.0216, 1107.1320

If the Ghosh Perez result (http://arxiv.org/abs/1107.1320 ) on BH entropy is sustained the Immirzi gamma is free to be used in in defining limits such as the classical, or alternatively the continuum limit in loop geometry.

Or I suppose it might conceivably be used in renormalization procedures, coarse-graining, and so forth.

I had not thought much about this, so can't offer an opinion as to what applications are likely to make sense. But if you have a look at the new treatment of BH entropy by Ghosh Perez you will see the Immirzi is not pinned down. It does not enter as a multiplicative factor in the main expression for the entropy--only in a correction term.

In 1108.0832 Rovelli describes a way of taking the classical limit by letting gamma go to zero. See note 7 at the bottom of page 5. http://arxiv.org/abs/1108.0832

He refers there to three other papers, by Magliaro Perini, and also by You Ding and Eugenio Bianchi. I listed one of them 1105.0216 in the headline.

I will fetch the page 5 quote:

There is a formal way to take the classical limit without sending the dimensions of the individual polyhedra to infinity. Since the eigenvalues of the geometrical quantities are proportional to (powers of) the Immirzi parameter γ, one can formally take γ to zero in order to explore the classical limit at fixed boundary triangulation and at fixed boundary size. The γ → 0 limit has been studied in [28–30].

In ref. [28] http://arxiv.org/abs/1105.0216 Magliaro and Perini have already considered this γ → 0 limit. As I recall it is how they prove that loop geometry achieves the Regge GR limit. I have to review this to be sure. Hopefully someone else will be interested enough to take a look.

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# The Immirzi limit-1108.0832, 1105.0216, 1107.1320

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