You don't say how old your carrots are but I'll assume they are less than 24 months and have been stored in cool dark conditions. I'm not a expert on carrots specifically but in my experience, here are few things to consider:
- Fall carrots are generally sweeter than spring and thus change color less. (Sugar is a preservative.)
- Different varieties are sweeter than others. (again, sugar)
- Growing conditions matter - the higher your brix, the less they turn. (sugar)
- Your water matters - the more minerals, generally, the less they turn.
Also, you could try a different canning method (raw pack) or soaking them in acidified water if you slice them, before canning (preventing oxidation).
Over time, everything changes color a bit.