Abstract
We show that a new chiral, confining interaction can be used to break PecceiQuinn symmetry dynamically and solve the domain wall problem, simultaneously. The resulting theory is an invisible QCD axion model without domain walls. No dangerous heavy relics appear.
Highlights
The modelLet us consider a model based on the symmetry:. with the SM factor being the local symmetry of the Standard Model, SU(3)C × SU(2)L × U(1)Y , and G a new confining gauge group
We show that a new chiral, confining interaction can be used to break PecceiQuinn symmetry dynamically and solve the domain wall problem, simultaneously
Dynamical breaking of PQ symmetry has a long history in the context of composite axion models [15] and has gained interest recently [16,17,18,19,20,21,22]
Summary
Let us consider a model based on the symmetry:. with the SM factor being the local symmetry of the Standard Model, SU(3)C × SU(2)L × U(1)Y , and G a new confining gauge group. Since we are extending the QCD axion model with a new confining interaction there are two potential sources of explicit PQ symmetry breaking. The residual discrete symmetry unbroken by the combination of non-perturbative effects will be the common subgroup of both, ZNHC and ZNQCD This is what we call instanton interference and can be pictorially visualized in figure 1. If the anomaly coefficients NHC and NQCD are co-prime numbers, the instanton interference completely solves the domain wall problem, since ZNHC and ZNQCD have no common subgroup. There is no epoch when both HC and QCD potentials are turned on This implies that the highscale IIE works only when NHC = 1.3 In this case, the axion string-wall system decays soon after it is formed, at T ∼ ΛHC, and the axion field takes the same value everywhere.
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