A. Zee, Quantum Field Theory in a Nutshell · Problem VII.1.3

Field Theory Redux

Physics — QFT

Problem

Consider a lattice gauge theory in

(D + 1)

-dimensional space with the lattice spacing

a

D

-dimensional space and

b

in the extra dimension. Obtain the continuum

D

-dimensional field theory in the limit

a \to 0

with

b

kept fixed.