According to a recently developed model, the Yb3+-ions in the heavy-fe
rmion system Yb4As3 are positioned on parallel, quasi-one-dimensional
chains at low temperatures. A small interchain coupling J' leads to a
strong magnetic-field dependence of the linear specific-heat coefficie
nt gamma. Within linear spin-wave approximation, it is shown that the
six spin-wave excitation branches omega(x)(q,H) determine the low-temp
erature thermodynamics of Yb4As3. Most importantly, field-induced gaps
scaling as Delta similar or equal to root JJ' appear at q = Gamma,A.
For J' = 10(-4) J, a good agreement with the experimental variation of
gamma(H) is achieved.