Although not mathematical *per se*, I personally like Kogut's works for Hamiltonian lattice gauge theory: there is an [old RMP article][1] and a [rather good book][2] which I purchased specifically for its presentation of the Hamiltonian theory. Of course Kogut introduced the subject along with Wilson in a [PRD article][3], so his presentation of the material is not particularly exotic.

I will say that the advantage of the lattice is that rigor is not really much of an issue unless one wishes to take a continuous limit. Even so the incorporation of material on the Ising theory is helpful in this regard.


  [1]: http://rmp.aps.org/abstract/RMP/v51/i4/p659_1
  [2]: http://books.google.com/books?id=_Q_P41zAyv8C&pg=PA136
  [3]: http://prd.aps.org/abstract/PRD/v11/i2/p395_1