Astons is not a legal expert in the area of marriage law and how you marital status could or may not be affected by the act of renunciation.
Superficially, marriage and citizenship are not connected, in that, it is common for US citizens to marry foreign nationals.
On its face, the act of renouncing, in and of itself, may not have any impact on the legal status of being married, however, it would have a direct impact on your ability to legally reside or physically be in the United States.
Thus, having to leave the US could result in an abandonment issue within the marriage which is often an issue raised in divorce proceedings.
However, this question and issue is one that you would need to consult a divorce expert about in the United States.