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The stability of the spin-glass phase against a magnetic field is studied inthe three and four dimensional Edwards-Anderson Ising spin glasses. Effectivecouplings and effective fields associated with length scale L are measured by anumerical domain-wall renormalization group method. The results obtained byscaling analysis of the data strongly indicate the existence of a crossoverlength beyond which the spin-glass order is destroyed by field H. The crossoverlength well obeys a power law of H which diverges as H goes to zero but remainsfinite for any non-zero H, implying that the spin-glass phase is absent even inan infinitesimal field. These results are well consistent with the droplettheory for short-range spin glasses.Comment: 4 pages, 5 figures; The text is slightly changed, the figures 3, 4  and 5 are changed, and a few references are adde

Scaling Analysis of Domain-Wall Free Energy in the Edwards-Anderson Ising Spin Glass in a Magnetic Field