Thanks!
Nope, all classes have the same base damage. Damage increases on certain levels (eg. 1d6 to 2d6 at 5th level; magic users 2d6 lvl to 3d6 lvl). Weapons and skills can modify damage too. So yes, 1d6 for light weapons (that can also re-roll damage if used as a secondary weapon (two handed fighting)) plus mods like Backstab.
Hope you enjoy!