Inflation in a scale-invariant universe

Ferreira, Pedro G.; Hill, Christopher T.; Noller, Johannes; Ross, Graham G.

doi:10.1103/physrevd.97.123516

Cited by 59 publications

(79 citation statements)

References 45 publications

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“…We now have that the Higgs self-coupling satisfies λ 22 ∼ 1 while the rest of the potential couplings satisfy a hierarchy λ 11 ≪ λ 12 ≪ λ 22 . Furthermore, from cosmological constraints [87] we have that |α 1 | < 0.019 and α 2 < −0.048. If we saturate the second bound, we can simplify both our expressions for µ 2 + and m 2 H and we find that µ 2 + ≃ 48λ 12 α 1 M 2 Pl ≃ m 2 H ≫ (10 −10 eV) 2 (57) Alternatively one can estimate the magnitude of radiative corrections to φ 1 from its non-minimal coupling, generated at one loop between φ 1 and φ 2 in the scale-invariant Starobinsky model, this is given by…”

Section: Discussionmentioning

confidence: 93%

Scale invariant gravity and black hole ringdown

Ferreira

Tattersall

2020

Phys. Rev. D

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Scale invariant theories of gravity give a compelling explanation to the early and late time acceleration of the Universe. Unlike most scalar-tensor theories, fifth forces are absent and it would therefore seem impossible to distinguish scale invariant gravity from general relativity. We show that the ringdown of a Schwarschildde Sitter black hole may have a set of massive modes which are characteristic of scale invariant gravity. In principle these new modes can be used to distinguish scale invariant gravity from general relativity. In practice, we discuss the obstacles to generating these new massive modes and their detectability with future gravitational wave experiments but also speculate on their role in Kerr black holes.

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Section: Discussionmentioning

confidence: 93%

Scale invariant gravity and black hole ringdown

Ferreira

Tattersall

2020

Phys. Rev. D

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“…To solve this problem, a magnetic field dependent coupling constant for four-fermion interaction is proposed in Ref. [63]. The coupling takes the form…”

Section: Thermodynamics Of Magnetized Quark Mattermentioning

confidence: 99%

“…The locations where the first-order transitions take place depend on the magnetic field intensity. One can also refer to [63] for the related discussion about the firstorder transition in strange quark sector.…”

Section: Cmentioning

confidence: 99%

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Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background

Shao

Gao

2019

Phys. Rev. D

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The QCD phase transitions are investigated in the presence of an external magnetic field in the Polyakov improved Nambu-Jona-Lasinio (PNJL) model. We detailedly analyze that how the filling of multiple Landau levels by light (up and down) quarks deforms the QCD phase structure under different magnetic fields. In particular, we concentrate on the phase transition under a magnetic field possibly reachable in the non-central heavy-ion collisions at RHIC. The numerical result shows that two first-order transitions or more complicate phase transition in the light quark sector can exist for some magnetic fields, different from the phase structure under a very strong or zero magnetic field. These phenomena are very interesting and possibly relevant to the non-central heavy-ion collision experiments with colliding energies at several A GeV as well as the equation of state of magnetars. Besides, we investigate the entropy oscillation with the increase of baryon density in a magnetic background.

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“…In this article we demonstrate that the parity anomaly, a purely QFT object, which, however, exhibits nontrivial connections with the heat kernel techniques, can be useful at this point. Dynamical breakings of symmetries have been considered in various physical contexts using various mechanisms [13][14][15][16][17][18]. The parity anomaly, see [19,20], was introduced as a dynamical breaking of parity due to quantum corrections in theories of three-dimensional fermions, which interact with external gauge fields and which are parity-invariant at the classical level.…”

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confidence: 99%

Remark on the synergy between the heat kernel techniques and the parity anomaly

Kurkov

Leone

2019

Int. J. Geom. Methods Mod. Phys.

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In this paper, we demonstrate that not only the heat kernel techniques are useful for computation of the parity anomaly, but also the parity anomaly turns out to be a powerful mean in studying the heat kernel. We show that the gravitational parity anomaly on 4D manifolds with boundaries can be calculated using the general structure of the heat kernel coefficient a 5 for mixed boundary conditions, keeping all the weights of various geometric invariants as unknown numbers. The symmetry properties of the η-invariant allow to fix all the relevant unknowns. As a byproduct of this calculation we get an efficient and independent crosscheck (and confirmation) of the correction of the general structure of a 5 for mixed boundary conditions, previously suggested in Ref.

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Inflation in a scale-invariant universe

Cited by 59 publications

References 45 publications

Scale invariant gravity and black hole ringdown

Scale invariant gravity and black hole ringdown

Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background

Remark on the synergy between the heat kernel techniques and the parity anomaly

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