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Star-forming galaxies at high redshifts are the ideal targets to probe thehypothetical variation of the fine-structure constant alpha over cosmologicaltime scales. We propose a modification of the alkali doublets method whichallows us to search for variation in alpha combining far infrared andsubmillimeter spectroscopic observations. This variation manifests as velocityoffsets between the observed positions of the fine-structure andgross-structure transitions when compared to laboratory wavelengths. Here wedescribe our method whose sensitivity limit to the fractional changes in alphais about 5*10^-7. We also demonstrate that current spectral observations ofhydrogen and [C II] 158 micron lines provide an upper limit on |Deltaalpha/alpha| < 6*10^-5 at redshifts z = 3.1 and z = 4.7.

Fine-structure transitions as a tool for studying variation of alpha at high redshifts