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Peccei-Quinn Symmetry Breaking via Asymptotically Safe Dynamical Scalegenesis: A Walking Axicolor and Axion
High Energy Physics - Phenomenology · Submitted 25 Mar 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We provide a paradigm to resolve those two problems potentially existing in the PQ symmetry breaking scenario, with keeping successful axion relaxation for the QCD strong CP phase.
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The abstract, sentence by sentence
Pecci-Quinn (PQ) symmetry breaking by perturbative dynamics would suffer from a hierarchy problem, just like the electroweak symmetry breaking in the standard model. The dynamics of the axion, associated with the PQ symmetry breaking, would also involve a triviality problem. We provide a paradigm to resolve those two problems potentially existing in the PQ symmetry breaking scenario, with keeping successful axion relaxation for the QCD strong CP phase. The proposed theory includes an axicolor dynamics with the axicolored fermions partially gauged by the QCD color, and is shown to be governed by an asymptotically safe (AS) fixed point: quantum scale invariance is built. The AS axicolor is actually a ``walking" dynamics, which dynamically breaks a PQ symmetry, a part of the chiral symmetry carried by the axicolored fermions. The PQ scale generation is then triggered by the nonperturbative dimensional transmutation in the ``walking" dynamics. A composite axion emerges as the assosiated Nambu-Goldstone boson. That is, no hierarchy or triviality problem is present there. The composite axion can potentially be light due to the characteristic feature of the AS axicolor (``walking" axicolor), becomes the QCD axion in the anti-Veneziano limit, and gets heavier by the subleading correction. The composite axion relaxes the QCD theta parameter, involving heavier relaxation partners such as axicolored pseudoscalar mesons, and the ultraviolet correction to the relaxation mechanism is protected by the established (near) scale invariance during the ``walking" regime.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Pecci-Quinn (PQ) symmetry breaking by perturbative dynamics would suffer from a hierarchy problem, just like the electroweak symmetry breaking in the standard model. | background 0.99 | 0.08 | 0.03 | asserted 0.85 |
| s1 | The dynamics of the axion, associated with the PQ symmetry breaking, would also involve a triviality problem. | background 0.99 | 0.07 | 0.02 | hedged possibility 0.60 |
| s2 | We provide a paradigm to resolve those two problems potentially existing in the PQ symmetry breaking scenario, with keeping successful axion relaxation for the QCD strong CP phase. | contribution 0.99 | 0.87 | 0.36 | hedged possibility 0.93 |
| s3 | The proposed theory includes an axicolor dynamics with the axicolored fermions partially gauged by the QCD color, and is shown to be governed by an asymptotically safe (AS) fixed point: quantum scale invariance is built. | contribution 0.78 | 0.88 | 0.21 | asserted 1.00 |
| s4 | The AS axicolor is actually a ``walking" dynamics, which dynamically breaks a PQ symmetry, a part of the chiral symmetry carried by the axicolored fermions. | contribution 0.54 | 0.77 | 0.19 | asserted 1.00 |
| s5 | The PQ scale generation is then triggered by the nonperturbative dimensional transmutation in the ``walking" dynamics. | method 0.37 | 0.69 | 0.12 | asserted 0.99 |
| s6 | A composite axion emerges as the assosiated Nambu-Goldstone boson. | result 0.83 | 0.73 | 0.11 | asserted 1.00 |
| s7 | That is, no hierarchy or triviality problem is present there. | interpretation 0.56 | 0.67 | 0.44 | asserted 1.00 |
| s8 | The composite axion can potentially be light due to the characteristic feature of the AS axicolor (``walking" axicolor), becomes the QCD axion in the anti-Veneziano limit, and gets heavier by the subleading correction. | result 0.76 | 0.71 | 0.14 | hedged possibility 0.92 |
| s9 | The composite axion relaxes the QCD theta parameter, involving heavier relaxation partners such as axicolored pseudoscalar mesons, and the ultraviolet correction to the relaxation mechanism is protected by the established (near) scale invariance during the ``walking" regime. | result 0.70 | 0.69 | 0.15 | asserted 0.66 |
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The paper
Original abstract
Pecci-Quinn (PQ) symmetry breaking by perturbative dynamics would suffer from a hierarchy problem, just like the electroweak symmetry breaking in the standard model. The dynamics of the axion, associated with the PQ symmetry breaking, would also involve a triviality problem. We provide a paradigm to resolve those two problems potentially existing in the PQ symmetry breaking scenario, with keeping successful axion relaxation for the QCD strong CP phase. The proposed theory includes an axicolor dynamics with the axicolored fermions partially gauged by the QCD color, and is shown to be governed by an asymptotically safe (AS) fixed point: quantum scale invariance is built. The AS axicolor is actually a ``walking" dynamics, which dynamically breaks a PQ symmetry, a part of the chiral symmetry carried by the axicolored fermions. The PQ scale generation is then triggered by the nonperturbative dimensional transmutation in the ``walking" dynamics. A composite axion emerges as the assosiated Nambu-Goldstone boson. That is, no hierarchy or triviality problem is present there. The composite axion can potentially be light due to the characteristic feature of the AS axicolor (``walking" axicolor), becomes the QCD axion in the anti-Veneziano limit, and gets heavier by the subleading correction. The composite axion relaxes the QCD theta parameter, involving heavier relaxation partners such as axicolored pseudoscalar mesons, and the ultraviolet correction to the relaxation mechanism is protected by the established (near) scale invariance during the ``walking" regime.
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How the literature uses it
5 arXiv papers cite this in 6 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 3 papers
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In conventional four-dimensional realizations, however, the PQ symmetry is typically imposed by hand and is vulnerable to explicit breaking by ultraviolet (UV) effects, leading to the well-known axion quality problem [ref] .[There are various attempts to address the axion quality problem such as composite axion models [ref] , conformal axion models [ref] , warped extra dimension models [ref] , visible axion models [ref] and gauge symmetry protection models [ref] .]
Deconstructing the Extra-Dimensional Axion · Introduction · 0.83
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They include composite axion models [ref] , warped extra dimension models [ref] and supersymmetric models [ref] .
Dynamics of Superconformal Axion: Quality and Scalegenesis · Introduction · 0.99
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This observation stimulated a variety of works to construct axion models that evade the quality problem, such as those utilizing additional gauge symmetries [ref] , heavy axion models [ref] , composite axion models [ref] , and so on [ref] .
Axion Quality Problem Alleviated by Non-Minimal Coupling to Gravity · Introduction · 0.89
What it cites · 76 sentences without a confident label
Uses the method or tool of 5 papers
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* For the present proposal to be more realistic, it needs more rigorous discussion on certain existence of asymptotic safe confining gauge-Yukawa-scalar theory in the nonperturbative regime, by using the functional renormalization group [ref] and lattice simulations as the pioneering work in [ref] .
Safety versus triviality on the lattice · Conclusion and Discussions · 0.85
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* For the present proposal to be more realistic, it needs more rigorous discussion on certain existence of asymptotic safe confining gauge-Yukawa-scalar theory in the nonperturbative regime, by using the functional renormalization group [ref] and lattice simulations as the pioneering work in [ref] .
Exact evolution equation for the effective potential · Conclusion and Discussions · 0.85
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* For the present proposal to be more realistic, it needs more rigorous discussion on certain existence of asymptotic safe confining gauge-Yukawa-scalar theory in the nonperturbative regime, by using the functional renormalization group [ref] and lattice simulations as the pioneering work in [ref] .
The Exact Renormalisation Group and Approximate Solutions · Conclusion and Discussions · 0.85
Compares with 1 paper
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This feature is contrast to the $η'$ like mass in the anti-Veneziano limit, which goes like $≫m_F$, as was discussed in the literature [ref] .
Walking on the Ladder: 125 GeV Technidilaton, or Conformal Higgs -Dedicated to the late Professor Yoichiro Nambu- · Relaxation and Axion Mass · 0.95
Cites as support 1 paper
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As has been shown in [ref] , the walking dynamics can naturally achieve a small field inflation with the light walking dilaton as the inflaton.
A Walking Dilaton Inflation · Conclusion and Discussions · 0.97
Cites as background 1 paper
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(See e.g., [ref] as reviews.) One of the most attractive solution to this problem is introducing a global symmetry, which is often called Peccei-Quinn (PQ) symmetry [ref] $U(1)_PQ$, and the pseudo Nambu-Goldstone boson associated with the spontaneous breaking of this global symmetry is called axion.
Axions and the Strong CP Problem · Introduction · 1.00
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