  We deduce the canonical brackets for a two (1 + 1)-dimensional (2D) free
Abelian 1-form gauge theory by exploiting the beauty and strength of the
continuous symmetries of a Becchi-Rouet-Stora-Tyutin (BRST) invariant
Lagrangian density that respects, in totality, six continuous symmetries. These
symmetries entail upon this model to become a field theoretic example of Hodge
theory. Taken together, these symmetries enforce the existence of exactly the
same canonical brackets amongst the creation and annihilation operators that
are found to exist within the standard canonical quantization scheme. These
creation and annihilation operators appear in the normal mode expansion of the
basic fields of this theory. In other words, we provide an alternative to the
canonical method of quantization for our present model of Hodge theory where
the continuous internal symmetries play a decisive role. We conjecture that our
method of quantization is valid for a class of field theories that are
tractable physical examples for the Hodge theory. This statement is true in any
arbitrary dimension of spacetime.
