A Comment on the Degrees of Freedom in the Ashtekar Formulation for 2+1 Gravity
J. Fernando Barbero (Universidad Europa de Madrid), Madhavan, Varadarajan (R.R.I.)
TL;DR
This paper refutes a recent claim by demonstrating that the 2+1 dimensional Ashtekar formulation of General Relativity does not have a finite number of physical degrees of freedom.
Contribution
It clarifies the correct count of degrees of freedom in the Ashtekar formulation for 2+1 gravity, correcting previous misconceptions.
Findings
The claim of finite degrees of freedom is incorrect.
The analysis shows the actual degrees of freedom are not finite.
The paper provides a corrected understanding of the formulation.
Abstract
We show that the recent claim that the 2+1 dimensional Ashtekar formulation for General Relativity has a finite number of physical degrees of freedom is not correct.
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