Independence advocates say they want to continue to use the pound as the country's currency if the Scottish people vote for separation this year.
Mark Carney warned that successful currency unions still require some level of common fiscal policy and bank supervision. The recent debt crisis in the countries sharing the euro shows the risks of what can happen if those measures aren't put into place, he said.
Carney stressed it was up to the parliaments of Britain and Scotland to decide whether Scotland continues to use the pound in the case of independence. The Bank of England would implement whatever policy they chose.
"Decisions that cede sovereignty and limit autonomy are rightly choices for elected governments and involve considerations beyond mere economics," he said.
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Carney's remarks are important because independence leader Alex Salmond, Scotland's first minister, has repeatedly stressed that the pound would remain the country's currency a selling point to his movement. While Scotland is part of the UK, it has had its own Parliament since 1999 and makes its own laws in many areas.
Carney stressed, however, he was not taking a position on the vote and that he was simply offering information.
"This is a technocratic assessment of what makes an effective currency union between independent nations," he said.
Such an agreement would not be simple, said Monique Ebell, an economist at the National Institute of Economic and Social Research who is working on the economic issues of Scottish independence. Countries in a monetary union agree to support each other and the UK economy would dwarf that of Scotland.