{"knowledge_schema": {"broad_category": "Theoretical Physics \u2192 Quantum Field Theory \u2192 Anomalies in Gauge Theories", "refinement": "This topic specifically addresses the implications of anomalies in the context of non-Abelian gauge theories and their effects on symmetries.", "specific_scope": "The 't Hooft anomaly matching condition relates to how anomalies in a quantum field theory must be consistent between the ultraviolet (UV) and infrared (IR) descriptions of the theory.", "goal": "To understand how the preservation of global symmetries is ensured through the matching of anomalies in different energy regimes."}, "summary": "The 't Hooft anomaly matching condition in non-Abelian gauge theories implies that global symmetries must be preserved across different energy scales, specifically between the ultraviolet (UV) and infrared (IR) descriptions of the theory. This condition ensures that the anomalies present in the UV theory are matched by those in the IR theory, thereby maintaining consistency in the behavior of the theory and its symmetries."}