  The behavior of electrons in strained graphene is usually described using
effective pseudomagnetic fields in a Dirac equation. Here we consider the
particular case of a spatially constant strain. Our results indicate that
lattice corrections are easily understood using a strained reciprocal space, in
which the whole energy dispersion is simply shifted and deformed. This leads to
a directional dependent Fermi velocity without producing pseudomagnetic fields.
The corrections due to atomic wavefunction overlap changes tend to compensate
such effects. Also, the analytical expressions for the shift of the Dirac
points as well as the corresponding Dirac equation are found. In view of the
former results, we discuss the range of applicability of the usual approach of
considering pseudomagnetic fields in a Dirac equation derived from the old
Dirac points of the unstrained lattice. Such considerations are important if a
comparison is desired with experiments or numerical simulations.
