The strong CP problem solved by itself due to long-distance vacuum effects

Nakamura, Y.; Schierholz, G.

doi:10.1016/j.nuclphysb.2022.116063

Cited by 9 publications

(6 citation statements)

References 83 publications

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“…This measurement of H 0 from the cosmic microwave background is in tension with recent late-time, low-redshift measurements[95] which give a value of H 0 about 0.73 km s −1 Mpc −1 -a present open puzzle in cosmology 8. Axions are a candidate to explain the strong CP puzzle (why gluon topological effects do not induce extra CP violation in QCD)[107][108][109] though this might also be associated with confinement related phenomena[110]. QCD axion masses are…”

mentioning

confidence: 58%

“…8Axions are a candidate to explain the strong CP puzzle (why gluon topological effects do not induce extra CP violation in QCD) [107–109] though this might also be associated with confinement related phenomena [110]. QCD axion masses are usually taken from astrophysics and cosmology constraints between 1 μeV and 3 meV corresponding to an ultraviolet scale between 6×109 and 6×1012 GeV.…”

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confidence: 99%

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The cosmological constant and scale hierarchies with emergent gauge symmetries

Bass

2023

Phil. Trans. R. Soc. A.

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Motivated by the stability of the electroweak Higgs vacuum we consider the possibility that the Standard Model might work up to large scales between about 10 10 GeV and close to the Planck scale. A plausible scenario is an emergent Standard Model with gauge symmetries originating in some topological-like phase transition deep in the ultraviolet. In this case, the cosmological constant scale and neutrino masses should be of similar size, suppressed by factor of the large scale of emergence. The key physics involves a subtle interplay of Poincaré invariance, mass generation and renormalization group invariance. The Higgs mass would be environmentally selected in connection with vacuum stability. Consequences for dark matter scenarios are discussed. This article is part of the theme issue ‘The particle-gravity frontier’.

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confidence: 58%

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confidence: 99%

The cosmological constant and scale hierarchies with emergent gauge symmetries

Bass

2023

Phil. Trans. R. Soc. A.

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“…Equation ( 54) can be taken even further, as it allows one to rederive the phases of fermionic correlators and confirm the conclusions of this section without using the dilute instanton gas approximation. Defining a complex mass parameter m as m ≡ me iα , (55) the mass terms in the Lagrangian of Equation ( 1) can be written as…”

Section: Thermodynamic Limit and Cluster Decompositionmentioning

confidence: 99%

“…In Ref. [55], the starting assumption is a finite toroidal four-dimensional geometry, where the different topological sectors are weighted as exp(i∆nθ). Because of the finite volume, this decisively differs from Equation (11).…”

Section: Relation Of the Present Arguments To Some Recent Literaturementioning

confidence: 99%

CP Conservation in the Strong Interactions

Ai,

Garbrecht,

Tamarit

2024

Universe

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We discuss matters related to the point that topological quantization in the strong interaction is a consequence of an infinite spacetime volume. Because of the ensuing order of limits, i.e., infinite volume prior to summing over topological sectors, CP is conserved. Here, we show that this reasoning is consistent with the construction of the path integral from steepest-descent contours. We reply to some objections that aim to support the case for CP violation in strong interactions that are based on the role of the CP-odd theta-parameter in three-form effective theories, the correct sampling of all configurations in the dilute instanton gas approximation and the volume dependence of the partition function. We also show that the chiral effective field theory derived from taking the volume to infinity first is in no contradiction with analyses based on partially conserved axial currents.

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“…We should point out here that there are, however, other resolutions to solve the strong CP problem without introducing new particles beyond the Standard Model, as one may find in the articles of refs. [3][4][5][6]. The Axion-like Particles (ALPs) has been the subject of investigation in diverse branches of the high energy physics.…”

Section: Introductionmentioning

confidence: 99%

Probing the interference between non-linear, axionic and space-time-anisotropy effects in the QED vacuum

Paixão,

Ospedal,

Neves

et al. 2024

J. High Energ. Phys.

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In this paper, we pursue the investigation of a generic non-linear extension of axionic electrodynamics in a Carroll-Field-Jackiw (CFJ) scenario that implements Lorentz-symmetry violation (LSV). The model we inspect consists of an arbitrary non-linear electrodynamic action coupled to the axion field in presence of an anisotropy four-vector that realizes the breaking of Lorentz symmetry under the particle point of view. For the sake of our considerations, the non-linear electromagnetic field is expanded around a constant and uniform magnetic background up to second order in the propagating photon field. The focus of our attention is the study of the material properties of the vacuum in the particular case of a space-like CFJ 4-vector. The dispersion relations associated to the plane wave solutions are explicitly worked out in two situations: the magnetic background perpendicular and parallel to the wave direction. We extend these results to consider the analysis of the birefringence phenomenon in presence of non-linearity, the axion and the LSV manifested through the spatial anisotropy. Three specific proposals of non-linear electrodynamics are contemplated: Euler-Heisenberg (EH), Born-Infeld (BI) and the Modified Maxwell electrodynamics (ModMax). Throughout the paper, we shall justify why we follow the unusual path of connecting, in a single Lagrangian density, three pieces of physics beyond the Standard Model, namely, non-linearity, axions and LSV. We anticipate that we shall not be claiming that the simultaneous introduction of these three topics beyond the Standard Model will bring new insights or clues for the efforts to detect axions or to constrain parameters associate to both non-linear electrodynamics and LSV physics. Our true goal is to actually inspect and describe how axionic, non-linear and LSV effects interfere with one another whenever physical entities like group velocity, refraction indices, birefringence and effective masses of physical excitations are computed in presence of an external constant and homogeneous magnetic field.

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The strong CP problem solved by itself due to long-distance vacuum effects

Cited by 9 publications

References 83 publications

The cosmological constant and scale hierarchies with emergent gauge symmetries

The cosmological constant and scale hierarchies with emergent gauge symmetries

CP Conservation in the Strong Interactions

Probing the interference between non-linear, axionic and space-time-anisotropy effects in the QED vacuum

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