Fetching the paper…

Reading the bibliography…

2023

Log-periodic gravitational-wave background beyond Einstein gravity

Calcagni, Gianluca, Kuroyanagi, Sachiko

Original
PDF
Post on X

Understand

Periodic patterns of logarithmic oscillations can arise in primordial curvature perturbation spectra and in the associated gravitational-wave background via different mechanisms.

We show that, in the presence of log oscillations, the spectral shape of the stochastic background has a unique parametrization independent of its physical origin.
We also show that this log-periodic modulation can be generated in any scenario beyond Einstein gravity endowed with an approximate discrete scale invariance, a symmetry typical of deterministic fractal spacetimes that could emerge in quantum gravity under certain conditions.
We discuss how a log-oscillatory spectral shape arises from concrete inflationary models beyond Einstein gravity and the prospects for detection in Einstein Telescope and other next-generation gravitational-wave observatories.

Log-periodic gravitational-wave background beyond Einstein gravity · Around

Built on

Calcagni G, Kuroyanagi S, Marsat S, Sakellariadou M, Tamanini N and Tasinato G 2019 Gravitational-wave luminosity distance in quantum gravity Phys. Lett. B 798
Original
1904
Earlier work this paper cites.
Carlip S 2019 Dimension and dimensional reduction in quantum gravity Universe 5
Original
1904
Earlier work this paper cites.
Belgacem E et al. [LISA Cosmology Working Group] 2019 Testing modified gravity at cosmological distances with LISA standard sirens J. Cosmol. Astropart. Phys. JCAP07(2019)024
Original
1906
Earlier work this paper cites.
Calcagni G, Kuroyanagi S, Marsat S, Sakellariadou M, Tamanini N and Tasinato G 2019 Quantum gravity and gravitational-wave astronomy J. Cosmol. Astropart. Phys. JCAP10(2019)012
Original
1907
Earlier work this paper cites.
Maggiore M et al
Original
1912
Earlier work this paper cites.
Tomita K 1967 Non-linear theory of gravitational instability in the expanding universe Prog. Theor. Phys. 37
1967
Earlier work this paper cites.
Bessis D, Geronimo J S and Moussa P 1983 Complex spectral dimensionality on fractal structures J. Phys. Lett. (Paris) 44
1983
Earlier work this paper cites.
Derrida B, De Seze L and Itzykson C 1983 Fractal structure of zeros in hierarchical models J. Stat. Phys. 33
1983
Earlier work this paper cites.
Bessis D, Geronimo J S and Moussa P 1984 Mellin transforms associated with Julia sets and physical applications J. Stat. Phys. 34
1984
Earlier work this paper cites.
Crane L and Smolin L 1985 Space-time foam as the universal regulator Gen. Relativ. Gravit. 17
1985
Earlier work this paper cites.
Matarrese S, Pantano O and Saez D 1993 General-relativistic approach to the nonlinear evolution of collisionless matter Phys. Rev. D 47
1993
Earlier work this paper cites.
Turner M S, White M J and Lidsey J E 1993 Tensor perturbations in inflationary models as a probe of cosmology Phys. Rev. D 48
1993
Earlier work this paper cites.
’t Hooft G 1993 Dimensional reduction in quantum gravity in Salamfestschrift ed A Ali, J Ellis and S Randjbar-Daemi (Singapore: World Scientific) [ Conf. Proc
1993
Earlier work this paper cites.
Matarrese S, Pantano O and Saez D 1994 General relativistic dynamics of irrotational dust: cosmological implications Phys. Rev. Lett. 72
1994
Earlier work this paper cites.
Matarrese S, Mollerach S and Bruni M 1998 Relativistic second-order perturbations of the Einstein–de Sitter universe Phys. Rev. D 58
1998
Earlier work this paper cites.
Sornette D 1998 Discrete scale invariance and complex dimensions Phys. Rept. 297
1998
Earlier work this paper cites.
Allen B and Romano J D 1999 Detecting a stochastic background of gravitational radiation: signal processing strategies and sensitivities Phys. Rev. D 59
1999
Earlier work this paper cites.
Belgacem E, Dirian Y, Finke A, Foffa S and Maggiore M 2020 Gravity in the infrared and effective nonlocal models J. Cosmol. Astropart. Phys. JCAP04(2020)010
Original
2001
Earlier work this paper cites.
Barausse E et al. [LISA Fundamental Physics Working Group] 2020 Prospects for fundamental physics with LISA Gen. Relativ. Gravit. 52
Original
2001
Earlier work this paper cites.
Martin J and Brandenberger R H 2001 The trans-Planckian problem of inflationary cosmology Phys. Rev. D 63
2001
Earlier work this paper cites.
Easther R, Greene B R, Kinney W H and Shiu G 2001 Inflation as a probe of short distance physics Phys. Rev. D 64
2001
Earlier work this paper cites.
Adams J A, Cresswell B and Easther R 2001 Inflationary perturbations from a potential with a step Phys. Rev. D 64
2001
Earlier work this paper cites.
Giddings S B, Kachru S and Polchinski J 2002 Hierarchies from fluxes in string compactifications Phys. Rev. D 66
2002
Earlier work this paper cites.
Easther R, Greene B R, Kinney W H and Shiu G 2002 Generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation Phys. Rev. D 66
2002
Earlier work this paper cites.
Danielsson U H 2002 Note on inflation and trans-Planckian physics Phys. Rev. D 66
2002
Earlier work this paper cites.
Easther R, Greene B R, Kinney W H and Shiu G 2003 Imprints of short distance physics on inflationary cosmology Phys. Rev. D 67
2003
Earlier work this paper cites.
Martin J and Brandenberger R H 2003 On the dependence of the spectra of fluctuations in inflationary cosmology on trans-Planckian physics Phys. Rev. D 68
2003
Earlier work this paper cites.
Bozza V, Giovannini M and Veneziano G 2003 Cosmological perturbations from a new physics hypersurface J. Cosmol. Astropart. Phys. JCAP05(2003)001
2003
Earlier work this paper cites.
Mollerach S, Harari D and Matarrese S 2004 CMB polarization from secondary vector and tensor modes Phys. Rev. D 69
2004
Earlier work this paper cites.
Palma G A, Sypsas S and Zenteno C 2020 Seeding primordial black holes in multifield inflation Phys. Rev. Lett. 125
Original
2004
Earlier work this paper cites.
Nigmatullin R R and Le Méhauté A 2005 Is there geometrical/physical meaning of the fractional integral with complex exponent? J. Non-Cryst. Solids 351
2005
Earlier work this paper cites.
Ambjørn J, Jurkiewicz J and Loll R 2005 Spectral dimension of the universe Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
Lauscher O and Reuter M 2005 Fractal spacetime structure in asymptotically safe gravity J. High Energy Phys. JHEP10(2005)050
2005
Earlier work this paper cites.
Greene B, Schalm K, van der Schaar J P and Shiu G 2005 Extracting new physics from the CMB arXiv:astro-ph/0503458
2005
Earlier work this paper cites.
Lapidus M L and van Frankenhuysen M 2006 Fractal Geometry, Complex Dimensions and Zeta Functions (New York: Springer)
2006
Earlier work this paper cites.
Ananda K N, Clarkson C and Wands D 2007 The cosmological gravitational wave background from primordial density perturbations Phys. Rev. D 75
2007
Earlier work this paper cites.
Baumann D, Steinhardt P J, Takahashi K and Ichiki K 2007 Gravitational wave spectrum induced by primordial scalar perturbations Phys. Rev. D 76
2007
Earlier work this paper cites.
Chen X, Easther R and Lim E A 2008 Generation and characterization of large non-Gaussianities in single field inflation J. Cosmol. Astropart. Phys. JCAP04(2008)010
Original
2008
Earlier work this paper cites.
Nakayama K, Saito S, Suwa Y and Yokoyama J 2008 Probing reheating temperature of the universe with gravitational wave background J. Cosmol. Astropart. Phys. JCAP06(2008)020
Original
2008
Earlier work this paper cites.
Bean R, Chen X, Hailu G, Tye S H H and Xu J 2008 Duality cascade in brane inflation J. Cosmol. Astropart. Phys. JCAP03(2008)026
Original
2008
Earlier work this paper cites.
Kuroyanagi S, Chiba T and Sugiyama N 2009 Precision calculations of the gravitational wave background spectrum from inflation Phys. Rev. D 79
Original
2009
Earlier work this paper cites.

Similar

Benedetti D 2009 Fractal properties of quantum spacetime Phys. Rev. Lett. 102
Original
2009
Cited alongside, same era.
Carlip S 2009 Spontaneous dimensional reduction in short-distance quantum gravity? AIP Conf. Proc. 1196
Original
2009
Cited alongside, same era.
Flauger R, Karnesis N, Nardini G, Pieroni M, Ricciardone A and Torrado J 2021 Improved reconstruction of a stochastic gravitational wave background with LISA J. Cosmol. Astropart. Phys. JCAP01(2021)059
Original
2009
Cited alongside, same era.
Flauger R, McAllister L, Pajer E, Westphal A and Xu G 2010 Oscillations in the CMB from axion monodromy inflation J. Cosmol. Astropart. Phys. JCAP06(2010)009
Original
2010
Cited alongside, same era.
Calcagni G 2010 Fractal universe and quantum gravity Phys. Rev. Lett. 104

Then

Yunes N, Yagi K and Pretorius F 2016 Theoretical physics implications of the binary black-hole merger GW150914 Phys. Rev. D 94
Original
2016
Later among the works it cites.
Arzano M and Calcagni G 2016 What gravity waves are telling about quantum spacetime Phys. Rev. D 93
Original
2016
Later among the works it cites.
Calcagni G 2016 ABC of multi-fractal spacetimes and fractional sea turtles Eur. Phys. J. C 76
Original
2016
Later among the works it cites.
Calcagni G, Kuroyanagi S and Tsujikawa S 2016 Cosmic microwave background and inflation in multi-fractional spacetimes J. Cosmol. Astropart. Phys. JCAP08(2016)039
Original
2016
Later among the works it cites.
Hazra D K, Shafieloo A, Smoot G F and Starobinsky A A 2016 Primordial features and Planck polarization J. Cosmol. Astropart. Phys. JCAP09(2016)009

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2010

Cited alongside, same era.

Chen X 2010 Folded resonant non-Gaussianity in general single field inflation J. Cosmol. Astropart. Phys. JCAP12(2010)003

2010

Cited alongside, same era.

Kuroyanagi S, Gordon C, Silk J and Sugiyama N 2010 Forecast constraints on inflation from combined CMB and gravitational wave direct detection experiments Phys. Rev. D 81

2010

Cited alongside, same era.

Kefala K, Kodaxis G P, Stamou I D and Tetradis N 2021 Features of the inflaton potential and the power spectrum of cosmological perturbations Phys. Rev. D 104

2010

Cited alongside, same era.

Achúcarro A, Gong J O, Hardeman S, Palma G A and Patil S P 2011 Mass hierarchies and non-decoupling in multi-scalar field dynamics Phys. Rev. D 84

2011

Cited alongside, same era.

Achúcarro A, Gong J O, Hardeman S, Palma G A and Patil S P 2011 Features of heavy physics in the CMB power spectrum J. Cosmol. Astropart. Phys. JCAP01(2011)030

2011

Cited alongside, same era.

Chen X 2011 Fingerprints of primordial universe paradigms as features in density perturbations Phys. Lett. B 706

2011

Cited alongside, same era.

Shiu G and Xu J 2011 Effective field theory and decoupling in multi-field inflation: an illustrative case study Phys. Rev. D 84

2011

Cited alongside, same era.

2016

Later among the works it cites.

Calcagni G 2017 Multifractional theories: an unconventional review J. High Energy Phys. JHEP03(2017)138

2017

Later among the works it cites.

Calcagni G 2017 Complex dimensions and their observability Phys. Rev. D 96

2017

Later among the works it cites.

Flauger R, McAllister L, Silverstein E and Westphal A 2017 Drifting oscillations in axion monodromy J. Cosmol. Astropart. Phys. JCAP10(2017)055

2017

Later among the works it cites.

Calcagni G 2017 Multiscale spacetimes from first principles Phys. Rev. D 95

2017

Later among the works it cites.

Carlip S 2017 Dimension and dimensional reduction in quantum gravity Classical Quantum Gravity 34

2017

Later among the works it cites.

Abbott B P et al

2018

Later among the works it cites.

Brattan D K, Ovdat O and Akkermans E 2018 Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance Phys. Rev. D 97

2018

Later among the works it cites.

Mielczarek J and Trześniewski T 2018 Towards the map of quantum gravity Gen. Relativ. Gravit. 50

2018

Later among the works it cites.

Steinhaus S and Thürigen J 2018 Emergence of spacetime in a restricted spin-foam model Phys. Rev. D 98

2018

Later among the works it cites.

2018

Later among the works it cites.

Ade P.A.R et al

2018

Later among the works it cites.

Christensen N 2019 Stochastic gravitational wave backgrounds Rept. Prog. Phys. 82

2019

Later among the works it cites.

Harlow D and Ooguri H 2019 Constraints on symmetries from holography Phys. Rev. Lett. 122

2019

Later among the works it cites.

Ballesteros G, Beltrán Jiménez J and Pieroni M 2019 Black hole formation from a general quadratic action for inflationary primordial fluctuations J. Cosmol. Astropart. Phys. JCAP06(2019)016

2019

Later among the works it cites.

Calcagni G 2021 Multifractional theories: an updated review Mod. Phys. Lett. A 36

2021

Later among the works it cites.

Fumagalli J, Renaux-Petel S and Witkowski L T 2021 Resonant features in the stochastic gravitational wave background J. Cosmol. Astropart. Phys. JCAP08(2021)059

2021

Later among the works it cites.

Harlow D and Ooguri H 2021 Symmetries in quantum field theory and quantum gravity Commun. Math. Phys. 383

2021

Later among the works it cites.

2021

Later among the works it cites.

Dalianis I, Kodaxis G P, Stamou I D, Tetradis N and Tsigkas-Kouvelis A 2021 Spectrum oscillations from features in the potential of single-field inflation Phys. Rev. D 104

2021

Later among the works it cites.

Addazi A et al. 2022 Quantum gravity phenomenology at the dawn of the multi-messenger era – A review Prog. Part. Nucl. Phys. 125

2022

Later among the works it cites.

Baker T et al. [LISA Cosmology Working Group] 2022 Measuring the propagation speed of gravitational waves with LISA J. Cosmol. Astropart. Phys. JCAP08(2022)031

2022

Later among the works it cites.

Arun K G et al. [LISA Fundamental Physics Working Group] 2022 New horizons for fundamental physics with LISA Living Rev. Relativ. 25

2022

Later among the works it cites.

Renzini A I, Goncharov B, Jenkins A C and Meyers P M 2022 Stochastic gravitational-wave backgrounds: current detection efforts and future prospects Galaxies 10

2022

Later among the works it cites.

Mavromatos N E, Spanos V C and Stamou I D 2022 Primordial black holes and gravitational waves in multiaxion-Chern–Simons inflation Phys. Rev. D 106

2022

Later among the works it cites.

Braglia M, Chen X and Hazra D K 2022 Primordial standard clock models and CMB residual anomalies Phys. Rev. D 105

2022

Later among the works it cites.

Boutivas K, Dalianis I, Kodaxis G P and Tetradis N 2022 The effect of multiple features on the power spectrum in two-field inflation J. Cosmol. Astropart. Phys. JCAP08(2022)021

2022

Later among the works it cites.

Auclair P et al. [LISA Cosmology Working Group] 2023 Cosmology with the Laser Interferometer Space Antenna Living Rev. Relativ. 26

2023

Closest in time.

van Remortel N, Janssens K and Turbang K 2023 Stochastic gravitational wave background: methods and implications Prog. Part. Nucl. Phys. 128

2023

Closest in time.

Agazie G et al. [NANOGrav] 2023 The NANOGrav 15-year data set: evidence for a gravitational-wave background Astrophys. J. Lett. 951

2023

Closest in time.

Antoniadis J et al. 2023 The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals Astron. Astrophys. 678

2023

Closest in time.

Reardon D J et al. [PPTA] 2023 Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array Astrophys. J. Lett. 951

2023

Closest in time.

Xu H et al. [CPTA] 2023 Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I Res. Astron. Astrophys. 23

2023

Closest in time.

Bhattacharya S and Zavala I 2023 Sharp turns in axion monodromy: primordial black holes and gravitational waves J. Cosmol. Astropart. Phys. JCAP04(2023)065

2023

Closest in time.

Jercher A, Steinhaus S and Thürigen J 2023 Curvature effects in the spectral dimension of spin foams Phys. Rev. D 108

2023

Closest in time.

Thürigen J 2023 private communication

2023

Closest in time.

Branchesi M et al

2023

Closest in time.