BPS ansatzes as electric form-factors

TL;DR

This paper proposes that BPS ansatzes in the non-Abelian Higgs model act as electric form-factors, leading to CP-violation effects similar to those caused by instantons in Euclidean Yang-Mills theory.

Contribution

It introduces a novel interpretation of BPS ansatzes as electric form-factors and links them to CP-violation mechanisms in Minkowskian non-Abelian gauge theories.

Findings

BPS ansatzes function as electric form-factors.

CP-invariance is softly violated in the model.

Analogies with Euclidean instanton effects are established.

Abstract

We argue that BPS ansatzes, entering manifestly vacuum BPS monopole solutions to equations of motion in the (Minkowskian) non-Abelian Higgs model play the role of some electric form-factors and that this implies (soft) violating the CP-invariance of the mentioned model, similar to taking place in the Euclidian Yang-Mills (YM) theory with instantons, generating the $\theta$-term in the appropriate effective Hamiltonian.