A low-fat food containing an amino acid or a peptide which is able to activate a calcium receptor, examples of which include .gamma.-Glu-X-Gly, .gamma.-Glu-Val-Y, .gamma.-Glu-Ala, .gamma.-Glu-Gly, .gamma.-Glu-Cys, .gamma.-Glu-Met, .gamma.-Glu-Thr, .gamma.-Glu-Val, .gamma.-Glu-Orn, Asp-Gly, Cys-Gly, Cys-Met, Glu-Cys, Gly-Cys, Leu-Asp, D-Cys, .gamma.-Glu-Met(O), .gamma.-Glu-.gamma.-Glu-Val, .gamma.-Glu-Val-NH.sub.2, .gamma.-Glu-Val-ol, .gamma.-Glu-Ser, .gamma.-Glu-Tau, .gamma.-Glu-Cys(S-Me)(O), .gamma.-Glu-Leu, .gamma.-Glu-Ile, .gamma.-Glu-t-Leu, .gamma.-Glu-Cys(S-Me), etc, wherein X and Y are an amino acid or an amino acid derivative.