- Open Access
Collapsing domain walls with -violating coupling to thermalized fermions and their impact on gravitational wave detections
Phys. Rev. D 111, 115017 – Published 17 June, 2025
DOI: https://doi.org/10.1103/cdsj-bmvx
Abstract
We study the dynamics of domain walls formed through the spontaneous breaking of an approximate symmetry in a scalar field, focusing on their collapse under the influence of quantum and thermal corrections induced by a -violating Yukawa coupling to Dirac fermions in the thermal bath. The thermal effects make the potential bias between the true and false vacua dependent on the temperature and may lead to notable variations in the annihilation temperature of domain walls, in addition to the shift caused by temperature-independent quantum corrections. These modifications could substantially alter the gravitational wave spectrum produced by collapsing domain walls, potentially providing observable signatures for future gravitational wave detection experiments.
Physics Subject Headings (PhySH)
- Classical solutions in field theory
- Cosmic strings & domain walls
- Domain wall motion
- Domain walls
- Extensions of scalar sector
- Finite temperature field theory
- Gravitational wave detection
- Gravitational wave sources
- Gravitational waves
- Phenomenology
- Spontaneous symmetry breaking
- Hypothetical fermions
- Hypothetical scalars
- Discrete symmetries
Article Text
References (69)
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Observation of gravitational waves from a binary black hole merger, Phys. Rev. Lett. 116, 061102 (2016).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW170817: Observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett. 119, 161101 (2017).
- C. Caprini and D. G. Figueroa, Cosmological backgrounds of gravitational waves, Classical Quantum Gravity 35, 163001 (2018).
- A. I. Renzini, B. Goncharov, A. C. Jenkins, and P. M. Meyers, Stochastic gravitational-wave backgrounds: Current detection efforts and future prospects, Galaxies 10, 34 (2022).
- B. P. Abbott et al. (KAGRA, LIGO Scientific, and Virgo Collaborations), Prospects for observing and localizing gravitational-wave transients with Advanced LIGO, Advanced Virgo and KAGRA, Living Rev. Relativity 21, 3 (2018).
- B. P. Abbott et al. (LIGO Scientific Collaboration), Exploring the sensitivity of next generation gravitational wave detectors, Classical Quantum Gravity 34, 044001 (2017).
- Z. Arzoumanian et al. (NANOGRAV Collaboration), The NANOGrav 11-year data set: Pulsar-timing constraints on the stochastic gravitational-wave background, Astrophys. J. 859, 47 (2018).
- L. Lentati et al., European Pulsar Timing Array limits on an isotropic stochastic gravitational-wave background, Mon. Not. R. Astron. Soc. 453, 2576 (2015).
- R. M. Shannon et al., Gravitational waves from binary supermassive black holes missing in pulsar observations, Science 349, 1522 (2015).
- G. Hobbs et al., The International Pulsar Timing Array project: Using pulsars as a gravitational wave detector, Classical Quantum Gravity 27, 084013 (2010).
- G. Janssen et al., Gravitational wave astronomy with the SKA, Proc. Sci. AASKA14 (2015) 037 [arXiv:1501.00127].
- P. Amaro-Seoane et al. (LISA Collaboration), Laser Interferometer Space Antenna, arXiv:1702.00786.
- W.-H. Ruan, Z.-K. Guo, R.-G. Cai, and Y.-Z. Zhang, Taiji program: Gravitational-wave sources, Int. J. Mod. Phys. A 35, 2050075 (2020).
- Z.-C. Liang, Y.-M. Hu, Y. Jiang, J. Cheng, J.-d. Zhang, and J. Mei, Science with the TianQin Observatory: Preliminary results on stochastic gravitational-wave background, Phys. Rev. D 105, 022001 (2022).
- G. Agazie et al. (NANOGrav Collaboration), The NANOGrav 15 yr data set: Evidence for a gravitational-wave background, Astrophys. J. Lett. 951, L8 (2023).
- J. Antoniadis et al. (EPTA and InPTA Collaborations), The second data release from the European Pulsar Timing Array—III. Search for gravitational wave signals, Astron. Astrophys. 678, A50 (2023).
- D. J. Reardon et al., Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array, Astrophys. J. Lett. 951, L6 (2023).
- H. Xu et al., Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array data release I, Res. Astron. Astrophys. 23, 075024 (2023).
- A. Afzal et al. (NANOGrav Collaboration), The NANOGrav 15 yr data set: Search for signals from new physics, Astrophys. J. Lett. 951, L11 (2023); 971, L27(E) (2024).
- J. Antoniadis et al. (EPTA and InPTA Collaborations), The second data release from the European Pulsar Timing Array—IV. Implications for massive black holes, dark matter, and the early Universe, Astron. Astrophys. 685, A94 (2024).
- T. W. B. Kibble, Topology of cosmic domains and strings, J. Phys. A 9, 1387 (1976).
- A. Vilenkin, Gravitational field of vacuum domain walls and strings, Phys. Rev. D 23, 852 (1981).
- T. Vachaspati, Lectures on cosmic topological defects, ICTP Lect. Notes Ser. 4, 165 (2001).
- A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, England, 2000).
- Y. B. Zeldovich, I. Y. Kobzarev, and L. B. Okun, Cosmological consequences of the spontaneous breakdown of discrete symmetry, Zh. Eksp. Teor. Fiz. 67, 3 (1974).
- W. H. Press, B. S. Ryden, and D. N. Spergel, Dynamical evolution of domain walls in an expanding Universe, Astrophys. J. 347, 590 (1989).
- L. F. Abbott and M. B. Wise, Wormholes and global symmetries, Nucl. Phys. B325, 687 (1989).
- S. R. Coleman and K.-M. Lee, Wormholes made without massless matter fields, Nucl. Phys. B329, 387 (1990).
- T. Hiramatsu, M. Kawasaki, and K. Saikawa, Gravitational waves from collapsing domain walls, J. Cosmol. Astropart. Phys. 05 (2010) 032.
- M. Kawasaki and K. Saikawa, Study of gravitational radiation from cosmic domain walls, J. Cosmol. Astropart. Phys. 09 (2011) 008.
- G. B. Gelmini, M. Gleiser, and E. W. Kolb, Cosmology of biased discrete symmetry breaking, Phys. Rev. D 39, 1558 (1989).
- K. Kadota, M. Kawasaki, and K. Saikawa, Gravitational waves from domain walls in the next-to-minimal supersymmetric standard model, J. Cosmol. Astropart. Phys. 10 (2015) 041.
- D. Borah and A. Dasgupta, Probing left-right symmetry via gravitational waves from domain walls, Phys. Rev. D 106, 035016 (2022).
- D. Coulson, Z. Lalak, and B. A. Ovrut, Biased domain walls, Phys. Rev. D 53, 4237 (1996).
- M. Gleiser and R. Roberts, Gravitational waves from collapsing vacuum domains, Phys. Rev. Lett. 81, 5497 (1998).
- T. Hiramatsu, M. Kawasaki, and K. Saikawa, On the estimation of gravitational wave spectrum from cosmic domain walls, J. Cosmol. Astropart. Phys. 02 (2014) 031.
- K. Nakayama, F. Takahashi, and N. Yokozaki, Gravitational waves from domain walls and their implications, Phys. Lett. B 770, 500 (2017).
- K. Saikawa, A review of gravitational waves from cosmic domain walls, Universe 3, 40 (2017).
- G. B. Gelmini, S. Pascoli, E. Vitagliano, and Y.-L. Zhou, Gravitational wave signatures from discrete flavor symmetries, J. Cosmol. Astropart. Phys. 02 (2021) 032.
- Z. Zhang, C. Cai, Y.-H. Su, S. Wang, Z.-H. Yu, and H.-H. Zhang, Nano-Hertz gravitational waves from collapsing domain walls associated with freeze-in dark matter in light of pulsar timing array observations, Phys. Rev. D 108, 095037 (2023).
- D. Stojkovic, K. Freese, and G. D. Starkman, Holes in the walls: Primordial black holes as a solution to the cosmological domain wall problem, Phys. Rev. D 72, 045012 (2005).
- D. I. Dunsky, A. Ghoshal, H. Murayama, Y. Sakakihara, and G. White, GUTs, hybrid topological defects, and gravitational waves, Phys. Rev. D 106, 075030 (2022).
- G. Lazarides and Q. Shafi, Axion models with no domain wall problem, Phys. Lett. 115B, 21 (1982).
- S. R. Coleman and E. J. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev. D 7, 1888 (1973).
- C. Delaunay, C. Grojean, and J. D. Wells, Dynamics of non-renormalizable electroweak symmetry breaking, J. High Energy Phys. 04 (2008) 029.
- M. Quiros, Finite temperature field theory and phase transitions, in ICTP Summer School in High-Energy Physics and Cosmology (1999), pp. 187–259, arXiv:hep-ph/9901312.
- A. Andreassen, W. Frost, and M. D. Schwartz, Consistent use of effective potentials, Phys. Rev. D 91, 016009 (2015).
- D. Stauffer, Scaling theory of percolation clusters, Phys. Rep. 54, 1 (1979).
- M. Hindmarsh, Analytic scaling solutions for cosmic domain walls, Phys. Rev. Lett. 77, 4495 (1996).
- M. Hindmarsh, Level set method for the evolution of defect and brane networks, Phys. Rev. D 68, 043510 (2003).
- T. Garagounis and M. Hindmarsh, Scaling in numerical simulations of domain walls, Phys. Rev. D 68, 103506 (2003).
- E. W. Kolb and M. S. Turner, The Early Universe (Taylor and Francis, London, 1990), Vol. 69.
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- D. Baumann, Cosmology (Cambridge University Press, Cambridge, England, 2022), 10.1017/9781108937092.
- S. Blasi, A. Mariotti, A. Rase, A. Sevrin, and K. Turbang, Friction on ALP domain walls and gravitational waves, J. Cosmol. Astropart. Phys. 04 (2023) 008.
- S. Blasi, A. Mariotti, A. Rase, and A. Sevrin, Axionic domain walls at pulsar timing arrays: QCD bias and particle friction, J. High Energy Phys. 11 (2023) 169.
- L. Kawano, Evolution of domain walls in the early Universe, Phys. Rev. D 41, 1013 (1990).
- P. P. Avelino, C. J. A. P. Martins, and J. C. R. E. Oliveira, One-scale model for domain wall network evolution, Phys. Rev. D 72, 083506 (2005).
- T. Hiramatsu, M. Kawasaki, K. Saikawa, and T. Sekiguchi, Axion cosmology with long-lived domain walls, J. Cosmol. Astropart. Phys. 01 (2013) 001.
- M. Maggiore, Gravitational Waves. Vol. 1: Theory and Experiments (Oxford University Press, New York, 2007), 10.1093/acprof:oso/9780198570745.001.0001.
- N. Kitajima, J. Lee, K. Murai, F. Takahashi, and W. Yin, Gravitational waves from domain wall collapse, and application to nanohertz signals with QCD-coupled axions, Phys. Lett. B 851, 138586 (2024).
- N. Kitajima, J. Lee, F. Takahashi, and W. Yin, Stability of domain walls with inflationary fluctuations under potential bias, and gravitational wave signatures, arXiv:2311.14590.
- R. Z. Ferreira, A. Notari, O. Pujolas, and F. Rompineve, Gravitational waves from domain walls in pulsar timing array datasets, J. Cosmol. Astropart. Phys. 02 (2023) 001.
- C. Caprini et al., Detecting gravitational waves from cosmological phase transitions with LISA: An update, J. Cosmol. Astropart. Phys. 03 (2020) 024.
- C. Caprini, R. Durrer, T. Konstandin, and G. Servant, General properties of the gravitational wave spectrum from phase transitions, Phys. Rev. D 79, 083519 (2009).
- R.-G. Cai, S. Pi, and M. Sasaki, Universal infrared scaling of gravitational wave background spectra, Phys. Rev. D 102, 083528 (2020).
- R. Z. Ferreira, S. Gasparotto, T. Hiramatsu, I. Obata, and O. Pujolas, Axionic defects in the CMB: Birefringence and gravitational waves, J. Cosmol. Astropart. Phys. 05 (2024) 066.
- I. Dankovsky, E. Babichev, D. Gorbunov, S. Ramazanov, and A. Vikman, Revisiting evolution of domain walls and their gravitational radiation with CosmoLattice, J. Cosmol. Astropart. Phys. 09 (2024) 047.
- A. V. Manohar and E. Nardoni, Renormalization group improvement of the effective potential: An EFT approach, J. High Energy Phys. 04 (2021) 093.