Do the swords in the Calibur line project some sort of power field around the blade to slice things?

It would explain the glowing blue details and generator on the blade, as well as their ability to cut stone blocks and metal constructs.

But that would mean they'd do elemental (shock or prismatic or something) damage instead of normal damage.
I think they vibrate. Kind of like electric carving knives on Thanksgiving, but fancier. A scifi book I read many years ago had such a vibrating knife in it, so there must be one like it in SK.

But that would mean they'd do elemental (shock or prismatic or something) damage instead of normal damage
Why would it do elemental? It's not bombarding the target with combusting material, plasma, photons, electrons, or any other form of energy.

@Hexzyle
E=Mc^2
Sure seems like mass is a form of energy... unless SK functions on an entirely different set of fundamental physics.
Actually, having 3 charges (as opposed to 2: +/-) with directed repulsion would make much more sense for this world on how armors and weapons can be effective/neutral/weak with 3 fundamental charged varieties (don't forget neutrons aren't charged).
@Topic
As the normal weapons are upgraded, they often obtain upgrades for inflicting blunt damage. As we can see with the progression of the Calibur line, modifications of the weapon improve damage.
The first upgrade is tempering the weapon.
The second upgrade is a base material change [to a new sunsilver alloy].
The third upgrade fully optimizes the dimensions of the blade.
Do any of these changes produce strategic energy fields surrounding the edge of the weapon? I'm not a weaponsmith, but it sure looks like some form of pulsating energy that surrounds the edge.

Elemental, because the generated field would be doing the cutting, not the physical blade. A shadow field would be purple, and a piercing field would be yellow, so a blue field would be either shock or prismatic. Electrons or photons.
But if it were an ultrasonic cutter, the vibrating blade would be doing physical damage.

It could be a vibroblade (like other knights have suggested), a disruptor blade (disrupts the molecular bonds of objects, would deal normal damage), or a plasma blade (the Blaster line fires blue plasma bolts, possibly the swords from the Calibur line are sheathed in plasma, which would cause a small explosion on contact).
The most likely explanation would probably be a plasma blade, as plasma rounds are already used in the Blaster, so the Spiral Knights have the technology to make plasma weapons, and the visual for striking something with a sword from the Calibur line shows a small explosion, which matches the explosion caused when something is hit by a plasma blade.
By the way, the Blaster line is almost definitely fires some sort of energy projectile, as the guns in the Blaster line don't emit spent shells when fired, unlike the Magnus line or Antigua line for instance, and the projectiles cause a small blue explosion and a puff of smoke when they hit something.
Article on power swords: http://warhammer40k.wikia.com/wiki/Power_Weapons

The Blaster actually fires disrupter charges, which detonate before collision. The resulting shockwave is intended to rupture the bones and internal organs of the target.
As I said above, the Caliburs warp spacetime to stretch and distort the attraction between molecules via spaghettification, and then strike the surface of the target while it is in this state.
Both methods are effective ways of dealing damage regardless of armor, natural tolerance, or matter properties of the target (as dark matter is also reliant on spacetime)

K. Reasonable enough.
We'll have to wait for Word of God (aka; information leaked by the developers) to know for sure though.

I'd rather they didn't. Coming up with explanations for these is fun.

Slightly off topic: The Shocking Edge is a Proto Sword with part of the blade being made of electrically charged plasma contained in a magnetic bottle. Now, imagine a Leviathan Blade with the edge of the blade made out of electrically charged plasma......
It should be a Voltedge reskin, just for the awesome.

It should be a Voltedge reskin, just for the awesome.
No, it should be Voltedge, because the current Combuster/Voltedge/Glacius models are...not as attractive as the rest of the game art.

The last time someone tried to suggest changing the skins for the 5* brandishes, all of the old players set the forum on fire, rigged it with explosives, and threw it into the Gulf of Mexico, causing the first Great Extinction event. So, as much as I would like a 5* Shocking Edge, we'll have to settle for a reskin. Possibly in a extremely overpriced prize box with a 0.0000000000000000000001% chance of dropping, but better than nothing.
Haha! Great minds think alike!