Your scenario does not call for a retrial. Instead, the Judge will likely order the parties to obtain a transcript of the trial, and then have each side submit their own proposed Judgment to the court. The judge would then choose which Judgment accurately reflects his/her signature.
There is a procedure by which a litigant can ask for a new trial; however this is not triggered by a dispute over whether the Judgment is accurate or not.Ask a similar question
Your ex can within the 10 day limit submit a motion for reconsideration but only if he alleges new facts. The case however, will not be retried.Ask a similar question
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