"Going after" can be replaced with various other words or phrases to convey similar meaning. Some synonyms for "going after" include chasing, pursuing, following, hunting, tracking, seeking, or searching for. Each of these words brings a slightly different connotation. For instance, chasing implies a sense of urgency or desperation, pursuing suggests a more deliberate action, following may indicate a passive approach, hunting implies a goal-oriented behavior, tracking refers to following a trail, seeking is more general and could apply to anything, and searching for implies a thorough and comprehensive effort. Choosing the right word or phrase to replace "going after" depends on the specific situation and the intended message.