Abstract
We study a variant of Gauge-flation where the gauge symmetry is spontaneously broken by a Higgs sector. We work in the Stueckelberg limit and demonstrate that the dynamics remain (catastrophically) unstable for cases where the gauge field masses satisfy γ < 2, where γ = g 2 ψ 2/H 2, g is the gauge coupling, ψ is the gauge field vacuum expectation value, and H is the Hubble rate. We compute the spectrum of density fluctuations and gravitational waves, and show that the model can produce observationally viable spectra. The background gauge field texture violates parity, resulting in a chiral gravitational wave spectrum. This arises due to an exponential enhancement of one polarization of the spin-2 fluctuation of the gauge field. Higgsed Gauge-flation can produce observable gravitational waves at inflationary energy scales well below the GUT scale.
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References
A.H. Guth, The inflationary universe: a possible solution to the horizon and flatness problems, Phys. Rev. D 23 (1981) 347 [INSPIRE].
A.D. Linde, A new inflationary universe scenario: a possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems, Phys. Lett. B 108 (1982) 389 [INSPIRE].
A. Albrecht and P.J. Steinhardt, Cosmology for grand unified theories with radiatively induced symmetry breaking, Phys. Rev. Lett. 48 (1982) 1220 [INSPIRE].
A.A. Starobinsky, Spectrum of relict gravitational radiation and the early state of the universe, JETP Lett. 30 (1979) 682 [INSPIRE].
A.A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. B 91 (1980) 99 [INSPIRE].
V.N. Lukash, Production of phonons in an isotropic universe, Sov. Phys. JETP 52 (1980) 807 [INSPIRE].
W.H. Press, Spontaneous production of the Zel’dovich spectrum of cosmological fluctuations, Phys. Scripta 21 (1980) 702 [INSPIRE].
V.F. Mukhanov and G.V. Chibisov, Quantum fluctuations and a nonsingular universe, JETP Lett. 33 (1981) 532 [INSPIRE].
A.H. Guth and S.Y. Pi, Fluctuations in the new inflationary universe, Phys. Rev. Lett. 49 (1982) 1110 [INSPIRE].
S.W. Hawking, The development of irregularities in a single bubble inflationary universe, Phys. Lett. B 115 (1982) 295 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XXII. Constraints on inflation, Astron. Astrophys. 571 (2014) A22 [arXiv:1303.5082] [INSPIRE].
CMB-S4 collaboration, K.N. Abazajian et al., CMB-S4 science book. First edition, arXiv:1610.02743 [INSPIRE].
A. Maleknejad and M.M. Sheikh-Jabbari, Gauge-flation: inflation from non-Abelian gauge fields, Phys. Lett. B 723 (2013) 224 [arXiv:1102.1513] [INSPIRE].
A. Maleknejad and M.M. Sheikh-Jabbari, Non-Abelian gauge field inflation, Phys. Rev. D 84 (2011) 043515 [arXiv:1102.1932] [INSPIRE].
A. Mehrabi, A. Maleknejad and V. Kamali, Gaugessence: a dark energy model with early time radiation-like equation of state, Astrophys. Space Sci. 362 (2017) 53 [arXiv:1510.00838] [INSPIRE].
P. Adshead and M. Wyman, Chromo-natural inflation: natural inflation on a steep potential with classical non-Abelian gauge fields, Phys. Rev. Lett. 108 (2012) 261302 [arXiv:1202.2366] [INSPIRE].
P. Adshead and M. Wyman, Gauge-flation trajectories in chromo-natural inflation, Phys. Rev. D 86 (2012) 043530 [arXiv:1203.2264] [INSPIRE].
E. Martinec, P. Adshead and M. Wyman, Chern-Simons EM-flation, JHEP 02 (2013) 027 [arXiv:1206.2889] [INSPIRE].
M.M. Sheikh-Jabbari, Gauge-flation vs chromo-natural inflation, Phys. Lett. B 717 (2012) 6 [arXiv:1203.2265] [INSPIRE].
A. Maleknejad and M. Zarei, Slow-roll trajectories in chromo-natural and gauge-flation models: an exhaustive analysis, Phys. Rev. D 88 (2013) 043509 [arXiv:1212.6760] [INSPIRE].
R. Namba, E. Dimastrogiovanni and M. Peloso, Gauge-flation confronted with Planck, JCAP 11 (2013) 045 [arXiv:1308.1366] [INSPIRE].
E. Dimastrogiovanni and M. Peloso, Stability analysis of chromo-natural inflation and possible evasion of Lyth’s bound, Phys. Rev. D 87 (2013) 103501 [arXiv:1212.5184] [INSPIRE].
P. Adshead, E. Martinec and M. Wyman, Perturbations in chromo-natural inflation, JHEP 09 (2013) 087 [arXiv:1305.2930] [INSPIRE].
P. Adshead, E. Martinec and M. Wyman, Gauge fields and inflation: chiral gravitational waves, fluctuations and the Lyth bound, Phys. Rev. D 88 (2013) 021302 [arXiv:1301.2598] [INSPIRE].
C.M. Nieto and Y. Rodriguez, Massive gauge-flation, Mod. Phys. Lett. A 31 (2016) 1640005 [arXiv:1602.07197] [INSPIRE].
P. Adshead, E. Martinec, E.I. Sfakianakis and M. Wyman, Higgsed chromo-natural inflation, JHEP 12 (2016) 137 [arXiv:1609.04025] [INSPIRE].
J. Martin, C. Ringeval and V. Vennin, Encyclopædia inflationaris, Phys. Dark Univ. 5-6 (2014) 75 [arXiv:1303.3787] [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XX. Constraints on inflation, Astron. Astrophys. 594 (2016) A20 [arXiv:1502.02114] [INSPIRE].
D.H. Lyth, What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?, Phys. Rev. Lett. 78 (1997) 1861 [hep-ph/9606387] [INSPIRE].
E. Dimastrogiovanni, M. Fasiello and T. Fujita, Primordial gravitational waves from axion-gauge fields dynamics, JCAP 01 (2017) 019 [arXiv:1608.04216] [INSPIRE].
A. Maleknejad, Axion inflation with an SU(2) gauge field: detectable chiral gravity waves, JHEP 07 (2016) 104 [arXiv:1604.03327] [INSPIRE].
T. Fujita, R. Namba and Y. Tada, Does the detection of primordial gravitational waves exclude low energy inflation?, arXiv:1705.01533 [INSPIRE].
D.V. Gal’tsov and E.A. Davydov, Cosmological models with gauge fields, Proc. Steklov Inst. Math. 272 (2011) 119 [arXiv:1012.2861] [INSPIRE].
D.V. Gal’tsov and E.A. Davydov, Yang-Mills condensates in cosmology, Int. J. Mod. Phys. Conf. Ser. 14 (2012) 316 [arXiv:1112.2943] [INSPIRE].
A. Maleknejad, Chiral gravity waves and leptogenesis in inflationary models with non-Abelian gauge fields, Phys. Rev. D 90 (2014) 023542 [arXiv:1401.7628] [INSPIRE].
I. Obata, T. Miura and J. Soda, Chromo-natural inflation in the axiverse, Phys. Rev. D 92 (2015) 063516 [arXiv:1412.7620] [INSPIRE].
J. Bielefeld and R.R. Caldwell, Chiral imprint of a cosmic gauge field on primordial gravitational waves, Phys. Rev. D 91 (2015) 123501 [arXiv:1412.6104] [INSPIRE].
J. Bielefeld and R.R. Caldwell, Cosmological consequences of classical flavor-space locked gauge field radiation, Phys. Rev. D 91 (2015) 124004 [arXiv:1503.05222] [INSPIRE].
CLEO collaboration, I. Obata and J. Soda, Chiral primordial chiral primordial gravitational waves from dilaton induced delayed chromonatural inflation, Phys. Rev. D 93 (2016) 123502 [arXiv:1602.06024] [INSPIRE].
R.R. Caldwell, C. Devulder and N.A. Maksimova, Gravitational wave-gauge field oscillations, Phys. Rev. D 94 (2016) 063005 [arXiv:1604.08939] [INSPIRE].
S. Alexander, S. Cormack and R. Sims, Chirality and circular polarization in models of inflation, arXiv:1606.05357 [INSPIRE].
I. Obata and J. Soda, Oscillating chiral tensor spectrum from axionic inflation, Phys. Rev. D 94 (2016) 044062 [arXiv:1607.01847] [INSPIRE].
A. Maleknejad, Tensor adiabatic modes and consistency relations with primordial axion-gauge fields, arXiv:1612.05701 [INSPIRE].
A. Maleknejad, Gravitational leptogenesis in axion inflation with SU(2) gauge field, JCAP 12 (2016) 027 [arXiv:1604.06520] [INSPIRE].
J. Beltran Jimenez and L. Heisenberg, Generalized multi-Proca fields, Phys. Lett. B 770 (2017) 16 [arXiv:1610.08960] [INSPIRE].
R. Emami, S. Mukohyama, R. Namba and Y.-l. Zhang, Stable solutions of inflation driven by vector fields, JCAP 03 (2017) 058 [arXiv:1612.09581] [INSPIRE].
E. Davydov and D. Gal’tsov, HYM-flation: Yang-Mills cosmology with Horndeski coupling, Phys. Lett. B 753 (2016) 622 [arXiv:1512.02164] [INSPIRE].
J. Beltran Jimenez, L. Heisenberg, R. Kase, R. Namba and S. Tsujikawa, Instabilities in Horndeski Yang-Mills inflation, Phys. Rev. D 95 (2017) 063533 [arXiv:1702.01193] [INSPIRE].
M.E. Peskin and D.V. Schroeder, An introduction to quantum field theory, Addison-Wesley, Reading U.S.A. (1995) [INSPIRE].
T. Kunimasa and T. Goto, Generalization of the Stueckelberg formalism to the massive Yang-Mills field, Prog. Theor. Phys. 37 (1967) 452 [INSPIRE].
H. Ruegg and M. Ruiz-Altaba, The Stueckelberg field, Int. J. Mod. Phys. A 19 (2004) 3265 [hep-th/0304245] [INSPIRE].
R.L. Arnowitt, S. Deser and C.W. Misner, The dynamics of general relativity, Gen. Rel. Grav. 40 (2008) 1997 [gr-qc/0405109] [INSPIRE].
R. Namba, M. Peloso, M. Shiraishi, L. Sorbo and C. Unal, Scale-dependent gravitational waves from a rolling axion, JCAP 01 (2016) 041 [arXiv:1509.07521] [INSPIRE].
V. Gluscevic and M. Kamionkowski, Testing parity-violating mechanisms with cosmic microwave background experiments, Phys. Rev. D 81 (2010) 123529 [arXiv:1002.1308] [INSPIRE].
M. Gerbino, A. Gruppuso, P. Natoli, M. Shiraishi and A. Melchiorri, Testing chirality of primordial gravitational waves with Planck and future CMB data: no hope from angular power spectra, JCAP 07 (2016) 044 [arXiv:1605.09357] [INSPIRE].
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Adshead, P., Sfakianakis, E.I. Higgsed Gauge-flation. J. High Energ. Phys. 2017, 130 (2017). https://doi.org/10.1007/JHEP08(2017)130
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DOI: https://doi.org/10.1007/JHEP08(2017)130