ResearchPod Summary
Recent investigations in quantum field theory have explored whether physical constants and interaction symmetries can be selected by extremizing entanglement measures generated in particle scattering. While bipartite entanglement and entanglement entropy have been applied to this question, they do not provide a universal criterion because whether the symmetry-preserving theory is a maximum or a minimum depends on initial helicity states. This paper investigates whether genuine tripartite entanglement (GTE), evaluated in a three-particle setup with a spectator particle, can uniquely select gauge-invariant and diffeomorphism-invariant theories from a family of deformed non-gauge theories.
The author considers a 2+1-particle scattering system where particles B and C are initially entangled, and particles A and B undergo scattering without the direct participation of spectator particle C. The analysis examines both gluon-gluon scattering in SU(N) gauge theory and graviton-graviton scattering in perturbative quantum gravity. The interactions are modified using a dimensionless deformation parameter k, where k = 1 corresponds to the standard gauge-invariant or diffeomorphism-invariant theory. To quantify the resulting tripartite correlations, the paper uses two measures of GTE: the concurrence fill, which is analytically tractable, and the generalized geometric measure (GGM), which serves as an independent consistency check. The asymptotic behavior is analyzed using angular expansions around the forward and backward scattering limits.
By evaluating the concurrence fill and the GGM across various color-factor configurations and initial states, the study reveals that the GTE-based analysis exhibits a clear universal behavior. Sufficiently close to the forward and backward scattering limits, the concurrence fill and the GGM evaluated at k = 1 are strictly smaller than their values at any fixed k not equal to 1. Consequently, restoring gauge invariance or diffeomorphism invariance suppresses the generation of genuine tripartite entanglement more strongly than any fixed deformation in these asymptotic regimes. Conversely, attempting to select theories by maximizing GTE does not yield a universal, parameter-independent value of k.
These results establish a nontrivial information-theoretic connection between tripartite quantum correlations and the fundamental gauge and diffeomorphism symmetries of interactions. By demonstrating that GTE suppression uniquely singles out the physical Yang-Mills and gravitational theories, this work provides a robust selection principle that overcomes the ambiguities inherent in bipartite entanglement analyses.
AI-generated third-party summary by ResearchPod. Not official content or an endorsement by the paper authors or affiliated organizations.