Tough to handle
Half inch is marginally adequate, but the fact that you are picking a forty-five pound anchor suggests that you are trying to build in a safety margin for unexpected storms or whatever. That anchor is not a "lunch hook"! Good choice. Although that line will almost certainly never break (if not subject to chafe or abuse), it will get stressed beyond its design. There are differences of informed opinion on this, but the manufacturers say that line should not be stressed repeatedly beyond 11% percent of its breaking strength. And you will reach that load in less than 30 knots of wind. Perhaps even more important, the 5/8 line will give you a margin for some of the inevitable wear and CHAFE that your anchor line will experience. And it will be much, much easier to handle. I would go so far as to say that if you are raising the anchor by hand, don't even think of lifting that chain and anchor with half inch, particularly in a blow, even with gloves on. The thicker line is much easier to grip. By the way, this is based on my own experience raising a Bruce 33 by hand with each type of line.