2016/01/04 by Nitin Chandra, Chandra, N., M. B. Paranjape +3
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.1601.00475
openalex publication_date 2016/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study an effective field theory describing CP-violation in a scalar meson sector. We write the simplest interaction that we can imagine, \cal L∼ εi1⋯ i5εμ1⋯μ4ϕi1∂μ1ϕi2∂μ2ϕi3∂μ3ϕi4∂μ4ϕi5 which involves 5 scalar fields. The theory describes CP-violation only when it contains scalar fields representing mesons such as the K^*0, sigma, f0 or a0. If the fields represent pseudo-scalar mesons, such as B, K and π mesons then the Lagrangian describes anomalous processes such as KK→ πππ. We speculate that the field theory contains long lived excitations corresponding to Q-ball type domain walls expanding through space-time. In an 1+1 dimensional, analogous, field theory we find an exact, analytic solution corresponding to such solitons. The solitons have a U(1) charge Q, which can be arbitrarily high, but oddly, the energy behaves as Q2/3 for large charge, thus the configurations are stable under disintegration into elementary charged particles of mass m with Q=1. We also find analytic complex instanton solutions which have finite, positive Euclidean action.