Reply to Comment on "Quantum phase transition in the four-spin exchange antiferromagnet"
Valeri N. Kotov, D. X. Yao, A. H. Castro Neto, D. K. Campbell

TL;DR
This paper defends the authors' previous analysis of the J-Q model, emphasizing that their field-theory approach accurately captures quantum fluctuations, and addresses criticisms from a recent comment.
Contribution
It provides a rebuttal to criticisms of their earlier work, reaffirming the validity of their field-theory analysis of the J-Q model.
Findings
The analysis correctly captures strong quantum fluctuations.
Objections by Isaev et al. are addressed and found to be misplaced.
The field-theory description remains valid for the model.
Abstract
We argue that our analysis of the J-Q model, presented in Phys. Rev. B 80, 174403 (2009), and based on a field-theory description of coupled dimers, captures properly the strong quantum fluctuations tendencies, and the objections outlined by L. Isaev, G. Ortiz, and J. Dukelsky, arXiv:1003.5205, are misplaced.
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