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This seminar explores the intriguing phenomenon of renormalization group (RG) stable parameter relations in scalar field theories that persist without an apparent underlying symmetry. Join UC Santa Cruz physicist Howie Haber as he presents a detailed analysis of a toy model featuring two real scalar fields, where certain tree-level relations between squared-mass parameters demonstrate unexpected stability under RG running. Discover how complexification of the original scalar field theory reveals hidden symmetries that explain these stable relations, even though these symmetries aren't manifest in the original real scalar formulation. Learn about the mathematical connections between beta functions in the complexified theory and how they relate to stability conditions in the original theory, providing new insights into quantum field theory fundamentals.
