There are various synonyms for the phrase "short time," each with its unique connotations. One possibility is "brief period," indicating a short but defined time frame. "Limited duration" or "small window" can communicate a sense of constraint or urgency. "Fleeting moment" suggests fleetingness and the importance of making the most of an opportunity. "Transitory interval" emphasizes transience and a sense of impermanence. Finally, "momentary lapse" suggests a brief lapse in judgment or focus. The choice of synonym depends on the context and the intended meaning. Defining the desired connotation can help find the appropriate term.