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PHASE TRANSITION AT THE BIG BANG POINT IN LATTICE GRAVITY THEORY
- Authors: Vergeles S.N.1,2
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Affiliations:
- Landau Institute for Theoretical Physics, Russian Academy of Sciences
- Moscow Institute of Physics and Technology, Department of Theoretical Physics
- Issue: Vol 166, No 6 (2024)
- Pages: 781-794
- Section: NUCLEI, PARTICLES, FIELDS, GRAVITY AND ASTROPHYSICS
- URL: https://journals.rcsi.science/0044-4510/article/view/274794
- DOI: https://doi.org/10.31857/S0044451024120034
- ID: 274794
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Abstract
Lattice regularization of gravity theory provides new opportunities for studying Big Bang physics. It is proved that in the 4D lattice gravity model studied here, there exists a high-temperature phase characterized by the vanishing of the mean energy-momentum tensor of matter and the collapse of space into a point. The existence of a low-temperature phase in the long-wavelength limit is also shown, whose geometric properties and dynamics correspond to known concepts: the Universe's expansion initially follows an exponential law and then smoothly transitions to a power-law regime.
About the authors
S. N. Vergeles
Landau Institute for Theoretical Physics, Russian Academy of Sciences; Moscow Institute of Physics and Technology, Department of Theoretical Physics
Author for correspondence.
Email: vergeles@itp.ac.ru
Russian Federation, Chernogolovka, Moscow region, 142432; Dolgoprudny, Moscow region, 141707
References
- S. Vergeles, One More Variant of Discrete Gravity Having «Naive» Continuum Limit, Nucl. Phys. B 735, 172 (2006).
- S. Vergeles, Wilson Fermion Doubling Phenomenon on an Irregular Lattice: Similarity and Difference with the Case of a Regular Lattice, Phys. Rev. D 92, 025053 (2015).
- S. Vergeles, Fermion Zero Mode Associated with Instantonlike Self-Dual Solution to Lattice Euclidean Gravity, Phys. Rev. D 96, 054512 (2017).
- S. Vergeles, A Note on the Possible Existence of an Instanton-Like Self-Dual Solution to Lattice Euclidean Gravity, J. High Energy Phys. 2017, 1 (2017).
- S. Vergeles, A Note on the Vacuum Structure of Lattice Euclidean Quantum Gravity: «Birth» of Macroscopic Space-Time and Pt-Symmetry Breaking, Class. Quant. Gravity 38, 085022 (2021).
- S. Vergeles, Domain Wall Between the Dirac Sea and the «Anti-Dirac Sea», Class. Quant. Gravity 39, 038001 (2021).
- G. Volovik, Gravity from Symmetry Breaking Phase Transition, J. Low Temp. Phys. 207, 127 (2022).
- G. Volovik, Superfluid 3he-B and Gravity, Physica B: Cond. Matt. 162, 222 (1990).
- J. Schwinger, Particles, Sources, and Fields, Vol. 1, CRC Press (2018).
- A. Linde, Recent Progress in Inflationary Cosmology, arXiv: astro-ph/9601004.
- A. Starobinsky, The Future of the Universe and the Future of Our Civilization, World Scientific (2000), p. 71.
- H. Motohashi, A. A. Starobinsky, and J. Yoko-yama, Inflation with a Constant Rate of Roll, J. Cosmol. Astropart. Phys. 2015 (09), 018 (2015).
- G. Volovik, On De Sitter Radiation via Quantum Tunneling, Int. J. Mod. Phys. D 18, 1227 (2009).
- G. Volovik, De Sitter Local Thermodynamics in F(R) Gravity, JETP Lett. 119, 564 (2024).
- G. Volovik, Thermodynamics and Decay of De Sitter Vacuum, Symmetry 16, 763 (2024).
- G. Volovik, Sommerfeld Law in Quantum Vacuum, arXiv:2307.00860.
- S. Weinberg, The Cosmological Constant Problem, Rev. Mod. Phys. 61, 1 (1989).
- D. Krotov and A. M. Polyakov, Infrared Sensitivity of Unstable Vacua, Nucl. Phys. B 849, 410 (2011).
- A. Polyakov, Infrared Instability of the De Sitter Space, arXiv:1209.4135.
- E. Akhmedov, Lecture Notes on Interacting Quantum Fields in De Sitter Space, Int. J. Mod. Phys. D 23, 1430001 (2014).
- E. Akhmedov, U. Moschella, and F. Popov, Characters of Different Secular Effects in Various Patches of De Sitter Space, Phys. Rev. D 99, 086009 (2019).
- E. Akhmedov, Curved Space Equilibration Versus Flat Space Thermalization: A Short Review, Mod. Phys. Lett. A 36, 2130020 (2021).
- A. Y. Kamenshchik, A. A. Starobinsky, and T. Vardanyan, Massive Scalar Field in De Sitter Spacetime: A Two-Loop Calculation and a Comparison with the Stochastic Approach, European Phys. J. C 82, 1 (2022).
- Y. B. Zel’Dovich and A. Starobinsky, Particle Production and Vacuum Polarization in an Anisotropic Gravitational Field, Sov.J. Exp. Theor. Phys. 34, 1159 (1972).
- A. Y. Kamenshchik, A. A. Starobinsky, A. Tron-coni, T. Vardanyan, and G. Venturi, Pauli-Zeldovich Cancellation of the Vacuum Energy Divergences, Auxiliary Fields and Supersymmetry, European Phys. J. C 78, 1 (2018).
- S. Appleby and E. V. Linder, The Well-Tempered Cosmological Constant: Fugue in B, J. Cosmol. Astropart. Phys. 2020 (12), 037 (2020).
- F. Klinkhamer and G. Volovik, Big Bang as a Topological Quantum Phase Transition, Phys. Rev. D 105, 084066 (2022).
- Q. Wang, Z. Zhu, and W. G. Unruh, How the Huge Energy of Quantum Vacuum Gravitates to Drive the Slow Accelerating Expansion of the Universe, Phys. Rev. D 95, 103504 (2017).
- D. Diakonov, Towards Lattice-Regularized Quantum Gravity, arXiv:1109.0091.
- A. A. Vladimirov and D. Diakonov, Phase Transitions in Spinor Quantum Gravity on a Lattice, Phys. Rev. D 86, 104019 (2012).
- A. A. Vladimirov and D. Diakonov, Diffeo-morphism-Invariant Lattice Actions, Phys. of Particles and Nuclei 45, 800 (2014).
- G. Volovik, Dimensionless Physics, JETP 132, 727 (2021).
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