In this talk I will discuss the dynamic critical behavior of relativistic scalar field theories, with dissipative (Model A), diffusive (Model B) and conservative (Model C/D) dynamics. Based on first principle simulations, I will discuss the manifestations of the critical behavior in real-time correlation functions and extract universal scaling functions that describe the spectral functions of the order parameter in the vicinity of the critical point. If time remains I will also present preliminary results for the evolution of cumulants of the order parameter in non-equilibrium phase transitions, where a system dynamically transits the critical point in the phase diagram.

Highly oscillatory path integrals are common in lattice field theory.
They crop up as sign problems and as signal to noise problems and prevent Monte Carlo calculations of both lattice QCD at finite chemical potential and real-time dynamics. A general method for treating highly oscillatory path integrals has emerged in which the domain of integration of the path integral is deformed into a complexified field space. In this talk I will review this method, and I will discuss recent progress in machine learning manifolds for lattice QCD.

Recent experimental observation of spin polarization of hadrons in relativistic heavy-ion collisions [1] motivates the development of the theory describing spin transport in relativistic plasma. In this talk, I will introduce our recent work on a theoretical formulation of relativistic spin hydrodynamics based on the second law of local thermodynamics and linear response theory [2]. We work in a regime where spin density, which is assumed to relax much slower than other non-hydrodynamic modes, is treated as an independent degree of freedom in an extended hydrodynamic description. Spin hydrodynamics in our approach contains only three non-hydrodynamic modes corresponding to a spin vector, whose relaxation time is controlled by a new transport coefficient, the rotational viscosity. Using the derived constitutive relation, I will explain our main results; an interesting mode mixing phenomenon between the transverse shear and the spin density modes, and several field-theoretical ways to compute the rotational viscosity via the Green-Kubo formula based on retarded correlation functions.

References:
[1] STAR Collaboration, L. Adamczyk et al., Nature 548 (2017) 62?65, arXiv:1701.06657 [nucl-ex]
[2] M. Hongo, X-G. Huang, M. Kaminski, M. Stephanov, H-U Yee, arXiv:2107.14231 [hep-th]

In lattice QCD simulations, a large number of observables are measured on each Monte Carlo sample of the QCD universe, called gauge configuration. Since the measured observables share the same background gauge configuration, their statistical fluctuations are correlated with each other, and analyzing such correlation is a well-suited problem for machine learning (ML) algorithms. In this talk, I will present two ML applications to lattice QCD problems: (1) prediction of unmeasured-but-computationally-expensive observables from the cheap observables on each gauge configuration, and (2) compression of lattice QCD data using D-Wave quantum annealer as an efficient binary optimization algorithm. For both applications, a bias correction algorithm is applied to estimate and correct the systematic error due to inexact ML predictions and reconstruction.

At the present time, cosmology is presenting us with a wealth of data which can only be explained by invoking new physics operating in the very early universe. I will introduce three paradigms for the evolution of the early universe: inflation, a cosmological bounce, and an emergent scenario. I will argue that in light of arguments from quantum gravity and string theory the inflationary paradigm is severely constrained.
I will then discuss attempts to obtain an emergent cosmology making use of fundamental principles of superstring theory, in particular matrix theory.

I will introduce the notion of target space entanglement. Quantum entanglement is closely related to the structure of spacetime in quantum gravity. For quantum field theories or statistical models, we usually consider the base space entanglement. However, target space instead of base space sometimes directly connects to our spacetime, for example, perturbative string theories. We thus need target space entanglement. To define the target space entanglement, we have to generalize the definition of the conventional entanglement entropy. I will explain this generalization and apply it to the first quantized particles, in particular, fermions.

Recently, the new phase of the two-flavor color superconductor was proposed in connection with the recent discussion on the equation of state of neutron stars [1]. In this talk, I will show the classification of the topological vortices in this phase. We found that the most stable vortices are what we call the “non-Abelian Alice strings” [2]. They are superfluid vortices carrying 1/3 quantized circulation and color magnetic fluxes. I will discuss in some details about their properties in comparison to the well-established CFL vortices in three-flavor symmetric setup, by putting some emphasis on their peculiarity: the non-Abelian generalization of the Alice property. I will also discuss the confinement of the vortices as well as how the vortices in the quark phase are connected to those in the hadronic phase [3].

References:
[1] Y. Fujimoto, K. Fukushima, W. Weise, Phys. Rev. D 101, 094009 (2020), arXiv:1908.09360 [hep-ph].
[2] Y. Fujimoto, M. Nitta, Phys. Rev. D 103, 054002 (2021), arXiv:2011.09947 [hep-ph]; JHEP 09 (2021) 192, arXiv:2103.15185 [hep-ph].
[3] Y. Fujimoto, M. Nitta, Phys. Rev. D 103, 114003 (2021), arXiv:2102.12928 [hep-ph].

We will discuss a method to calculate the rate of false vacuum decay induced by a black hole. The method uses complex tunnelling solutions and consistently takes into account the structure of quantum vacuum associated to the black hole. We will illustrate the technique on a two- dimensional toy model of a scalar field with inverted Liouville potential in an external background of a dilaton black hole. Using this model, we will compute the exponential suppression of tunnelling from the Boulware, Hartle-Hawking and Unruh vacuum states and show that they are parametrically different. Finally, we will discuss how our results are generalised to the realistic case of black holes in four dimensions.

In this talk I will first review a long-standing discrepancy between the neutron lifetime as measured in beam and in bottle experiments. If this discrepancy is not due to a systematic error, it may be due to novel mechanisms for neutron transmutation into new, as yet unknown elementary particles. These particles would be electrically neutral, or so-called “dark”. We will explain several scenarios for the possibility of neutron transmutation into dark particles. For example, in one interesting scenario the products of the neutron transmutation include a monochromatic photon with energy in the range 0.782 MeV?1.664 MeV and this is predicted to occur in 1% of all neutron decays. We will describe recent theoretical developments as well as ongoing and planned experiments looking directly to establish or rule out the “dark decay” hypothesis.

機械振動子は外力に対するセンサーとして古くから利用されてきた。近年では、振動子とレーザー光を光共振器で結合させることで、極めて高感度な振動子の変位計測（つまり、力計測）が実現可能となってきている。特に、振り子は重力ポテンシャルの影響によって極めて低散逸な振動子となるため、揺動散逸定理から、熱的な揺動力の小さな良質なセンサーとして応用できることが知られている。
２０１５年に達成された重力波の直接検出は、振り子振動が極めて低散逸なために実現したと言える。
センサーの性能を究極に向上すれば、振動子の量子揺らぎ程度の空間分解能でさえ、原理的には到達可能となる。しかし、振動子の位置の量子揺らぎの大きさは、振動子の質量が大きくなればなるほど小さくなるため、その実現は困難となる。本講演では、質量ミリグラムスケールの極めて巨視的な振り子の重心振動の量子計測と制御の原理検証について紹介する。
特に、振動子の重心振動と回転振動の光学トラップ、精密変位計測の実現、低散逸振り子の開発、振動子の量子状態推定について説明する。これらの基盤技術の融合により、近い将来、2つの巨視的な振り子の間の量子エンタングルメント状態が生成可能となるだろう。このような技術開発の果てに、量子制御された物体が生じる重力の性質を検証するといった新たな研究領域が創成する可能性がある。
また、外力センサーとして応用すれば、超軽量ダークマター・相対論的な重力の探索、重力定数の精密測定といった新たな応用につながることが期待される。