Background
The Standard Model of particle physics was cast into its present form with Weinberg's 1967 paper and completed with the discovery of the Higgs boson in 2012. Written in the language of quantum field theory — which unifies special relativity and quantum mechanics — the Standard Model provides a theoretically inseparable description of the electromagnetic, weak, and strong interactions.
The remaining challenge is how to construct a consistent quantum theory of gravity, one of the greatest mysteries in physics for over a century. Superstring theory is expected to contain quantum gravity as a certain limit, but even after the first and second superstring revolutions the path to an ultimate theory of quantum gravity remains long.
Main research topics
Standard Model criticality & Higgs inflation
The fact that the Higgs self-coupling is nearly zero near the Planck scale — the so-called "criticality" of the Standard Model — is tied to inflation in the early universe, dark matter, and the origin of matter–antimatter asymmetry.
Quantum gravity
Mechanisms by which gravity emerges dynamically from a hidden local Lorentz symmetry, and related directions.
Wave-packet formulation of quantum field theory
Three-dimensional Gaussian wave-packet formalism refining the particle picture, decoherence in neutrino oscillations, and related topics.
Lattice quantum field theory
Numerical approaches to non-perturbative quantum field theory, such as lattice QCD.
Foundations of quantum mechanics
Uncertainty relations, quantum measurement, time in quantum mechanics, and related mathematical aspects.
Machine learning
Applications of deep learning and generative models to physics, and machine-learning research informed by physics-based perspectives.
Publications
- 2026 A. Tomiya et al.. Parameter Optimization of Domain-Wall Fermion using Machine Learning. arXiv:2603.16329.
- 2026 A. Tomiya et al.. Machine Learning-Based Estimation of Cumulants of Chiral Condensate via Multi-Ensemble Reweighting. arXiv:2602.21617.
- 2026 A. Tomiya et al.. Lattice Gauge Theory via LLVM-Level Automatic Differentiation. arXiv:2602.20516.
- 2026 A. Tomiya et al.. Sparse modeling study of extracting charmonium spectral functions from lattice QCD at finite temperature, Phys. Rev. D 113 (2026) 034507. doi:10.1103/cdjf-65yf. arXiv:2509.10386.
- 2026 A. Tomiya et al.. Columbia plot based on the symmetry-improved Cornwall-Jackiw-Tomboulis formalism, Phys. Rev. D 113 (2026) 014013. doi:10.1103/71r7-8b3p. arXiv:2508.02257.
- 2026 A. Tomiya et al.. Axionlike particle-assisted supercooling chiral phase transition in QCD, JHEP 03 (2026) 062. doi:10.1007/JHEP03(2026)062. arXiv:2507.18016.
- 2025 K. Oda et al.. Seeing through the light cone: Visualizing electromagnetic fields in special relativity. arXiv:2505.20596.
- 2025 K. Oda et al.. Implementing Errors on Errors: Bayesian vs Frequentist, Eur. Phys. J. C 85 (2025) 1022. doi:10.1140/epjc/s10052-025-14638-4. arXiv:2505.06521.
- 2025 A. Tomiya et al.. First-order CP phase transition in two-flavor QCD at θ = π under electromagnetic scale anomaly, Phys. Rev. D 111 (2025) 74028. doi:10.1103/PhysRevD.111.074028. arXiv:2502.03879.
- 2025 A. Tomiya et al.. CASK: A Gauge Covariant Transformer for Lattice Gauge Theory, PoS LATTICE2024 (2025) 030. doi:10.22323/1.466.0030. arXiv:2501.16955.
- 2025 K. Oda et al.. Spacetime and Planck mass generation from scale-invariant degenerate gravity, Phys. Rev. D 111 (2025) 046002. doi:10.1103/PhysRevD.111.046002. arXiv:2411.17238.
- 2025 A. Tomiya. Machine Learning for Lattice QCD, J. Phys. Soc. Jpn. 94 (2025) 031006.
- 2024 A. Tomiya et al.. Machine Learning Estimation on the Trace of Inverse Dirac Operator using Gradient Boosting Decision Tree, PoS LATTICE2024 (2024) 033. doi:10.22323/1.466.0033. arXiv:2411.18170.
- 2024 A. Tomiya et al.. Lattice gradient flows (de-)stabilizing topological sectors, JHEP 04 (2024) 123. doi:10.1007/JHEP04(2025)123. arXiv:2411.14812.
- 2024 A. Tomiya et al.. Functional renormalization group study of a four-fermion model with CP violation, Phys. Rev. D 111 (2024) 074015. doi:10.1103/PhysRevD.111.074015. arXiv:2411.07027.
- 2024 J. Takahashi, H. Ohno, A. Tomiya. Sparse modeling study to extract spectral functions from lattice QCD data, PoS LATTICE2024 (2024) 032. doi:10.22323/1.466.0032. arXiv:2410.23567.
- 2024 A. Tomiya et al.. JuliaQCD: Portable lattice QCD package in Julia language. arXiv:2409.03030.
- 2024 K. Oda et al.. Parametrically amplified super-radiance towards hot big bang universe, Phys. Lett. B 859 (2024) 139133. doi:10.1016/j.physletb.2024.139133. arXiv:2408.08605.
- 2024 K. Oda et al.. Pseudo-Nambu-Goldstone Boson Production from Inflaton Coupling during Reheating, JCAP 11 (2024) 58. doi:10.1088/1475-7516/2024/11/058. arXiv:2406.09045.
- 2024 K. Oda et al.. Accelerating universe at early and late times in extended Jordan-Brans-Dicke gravity, Phys. Rev. D 110 (2024) 43518. doi:10.1103/PhysRevD.110.043518. arXiv:2405.13402.
- 2024 K. Oda et al.. Higgs Alignment from Multicritical-Point Principle in Two Higgs Doublet Models, Eur. Phys. J. C 85 (2024) 77. doi:10.1140/epjc/s10052-025-13824-8. arXiv:2404.06096.
- 2024 K. Oda, N. Ogawa. Gaussian Formalism: Joint Measurement for Heisenberg's Uncertainty Relation for Errors, PTEP 2025 (2024) 063A02. doi:10.1093/ptep/ptaf040. arXiv:2403.19440.
- 2024 K. Oda et al.. Irreversible vierbein postulate: Emergence of spacetime from quantum phase transition, Phys. Rev. D 109 (2024) 106018. doi:10.1103/PhysRevD.109.106018. arXiv:2309.16230.
- 2023 K. Oda et al.. Wave-Packet Effects: A Solution for Isospin Anomalies in Vector-Meson Decay, Eur. Phys. J. C 83 (2023) 978. doi:10.1140/epjc/s10052-023-12077-7. arXiv:2308.09933.
- 2023 M. Haruhi, K. Oda. Decoherence in Neutrino Oscillation between 3D Gaussian Wave Packets, Phys. Lett. B 846 (2023) 138218. doi:10.1016/j.physletb.2023.138218. arXiv:2307.12230.
- 2023 K. Oda et al.. Quantum phase transition and absence of quadratic divergence in generalized quantum field theories, Phys. Rev. D 109 (2023) 85009. doi:10.1103/PhysRevD.109.085009. arXiv:2307.11420.
- 2023 K. Oda et al.. Lorentz-covariant spinor wave packet, Phys. Rev. D 110 (2023) 076001. doi:10.1103/PhysRevD.110.076001. arXiv:2307.05932.
- 2023 K. Oda et al.. Gravitational and dark wave emission at binary merger. arXiv:2306.07592.
- 2023 K. Oda et al.. Non-thermal Higgs Spectrum in Reheating Epoch: Primordial Condensate vs. Stochastic Fluctuation, JCAP 10 (2023) 48. doi:10.1088/1475-7516/2023/10/048. arXiv:2304.12578.
- 2023 K. Oda et al.. Constraints on extended Jordan-Brans-Dicke gravity, JCAP 10 (2023) 040. doi:10.1088/1475-7516/2023/10/040. arXiv:2304.08656.
- 2023 K. Oda et al.. Gradient-flowed order parameter for spontaneous gauge symmetry breaking, Eur. Phys. J. C 83 (2023) 462. doi:10.1140/epjc/s10052-023-11553-4. arXiv:2303.10841.
- 2023 K. Oda et al.. Ultraviolet Sensitivity in Higgs-Starobinsky Inflation, JCAP 8 (2023) 045. doi:10.1088/1475-7516/2023/08/045. arXiv:2303.09866.
- 2022 K. Oda et al.. Boltzmann or Bogoliubov? Approaches Compared in Gravitational Particle Production, JCAP 9 (2022) 18. doi:10.1088/1475-7516/2022/09/018. arXiv:2206.10929.
- 2022 K. Oda et al.. Double inflation via non-minimally coupled spectator, JCAP 06 (2022) 016. doi:10.1088/1475-7516/2022/06/016. arXiv:2202.04869.
- 2022 K. Oda et al.. Gravitational waves in models with multicritical-point principle, Eur. Phys. J. C 82 (2022) 481. doi:10.1140/epjc/s10052-022-10440-8. arXiv:2202.04221.
- 2022 S.M. Lee, T. Modak, K. Oda, T. Takahashi. The R2-Higgs inflation with two Higgs doublets, Eur. Phys. J. C 82 (2022) 18. doi:10.1140/epjc/s10052-021-09978-w. arXiv:2108.02383.
- 2021 K. Oda et al.. A complete set of Lorentz-invariant wave packets and modified uncertainty relation. arXiv:2104.01798.
- 2021 K. Ishikawa, K. Nishiwaki, K. Oda. New effect in wave-packet scattering of quantum fields, Phys. Rev. D 108 (2021) 96013. doi:10.1103/PhysRevD.108.096013. arXiv:2102.12032.