  The measurement of the direct photon transverse momentum spectrum in Pb-Pb
collisions at \unit[$\sqrt{s_{_{NN}}}=2.76]{TeV}$ with data taken by the ALICE
experiment is presented. The measurement shows a clear direct-photon signal for
0-40% most central collisions below \unit[4]{GeV/$\mathrm{c}$} that can not be
described by next-to-leading-order perturbative QCD (NLO pQCD) calculations.
Above this value of $p_{\mathrm{T}}$ the result is in agreement with pQCD
predictions. The low $p_{\mathrm{T}}$ signal is expected to have thermal photon
contributions. The inverse slope parameter of an exponential fit is extracted
as $T_{\mathrm{LHC}}=\unit[304\pm 51^{\mathrm{syst+stat}}]{MeV}$. For a
baseline measurement the analysis is performed for proton-proton collisions at
\unit[$\sqrt{s}=7]{TeV}$ and for peripheral (40-80%) Pb-Pb collisions. Both
results show no low $p_\mathrm{T}$ direct-photon signal and are in agreement
with pQCD calculations.
