セミナー 2019年

横田一広, 日本大学

弱値の基礎と応用

Meeting room 1, Kenkyu honkan 1F
弱測定(weak measurement)は、量子系を乱さずに物理量を得る測定手法として、 1988年にY.Aharonovたちによって提唱された。弱測定の結果、測定器がアンサン ブル平均として示す値は弱値(weak value)と呼ばれる。 弱測定及び弱値は、量子基礎に対する新しいアプローチを提供するものとして、 近年注目されている。特に、量子の取り得る状態確率を古典粒子のように推論す るとパラドックスに陥るという「量子パラドックス」について、弱測定による実 験検証がなされてきた。本発表ではその例として「3つの箱のパラドックス」と 「ハーディのパラドックス」を取り上げる。量子パラドックスにおける弱値の一 部には、もはや確率とは見なせない-1という特異な値が見られ、全体としてパ ラドックスを回避するのに重要な役割を果たしている。そこで、このような特異 な弱値が、弱測定という文脈によらずに、物理的に意味のある指標となりうるか についても議論したい。 基礎研究の一方、弱測定と弱値については、新しい測定技術への応用の可能性も 見出されており、信号増幅による高感度測定や直接的状態トモグラフィーが盛ん に議論されている。後者について、単一ピクセルを用いた圧縮イメージング技術 を用いて、弱値による波動関数(波面)測定を行った研究が最近報告された。 我々の研究室でも現在、この圧縮イメージング技術を立ち上げようとしており、 弱値を使った応用を検討しているところである。本発表では、この先行研究につ いて紹介し、今後の応用研究について、幅広くご意見を伺えたらと考えている。

Tomo Takahashi, Saga University

Aspects of non-minimal inflation

Meeting room 1, Kenkyu honkan 1F
We discuss models of inflation where the inflaton is non-minimally coupled to gravity in some general setting, focusing on their predictions on inflationary observables such as the spectral index and tensor-to-scalar ratio. We consider both metric and Palatini formalisms of gravity and argue that how some inflation models can be alleviated by introducing a non-minimal coupling to gravity. The issues of distinguishing variants of such models are also discussed.

Andrew Lytle, INFN, Sezione di Roma Tor Vergata

b->c semileptonic decays and phenomenology

Meeting room 1, Kenkyu honkan 1F, slides (kek.jp only)
There are at the moment a number of long-standing discrepancies between observables in b->c semileptonic decays and their Standard Model predictions. In addition there is the long-standing tension between inclusive and exclusive determinations of Vcb, the latter being obtained from these same decays. Here I will discuss the state-of-the-art lattice simulations addressing these issues. After reviewing the status of B->D(*) form factors I will discuss in more detail new results from HPQCD that treat the ‘b’ quark fully relativistically.

Keisuke Yanagi, Department of Physics, University of Tokyo

Dark Matter Heating vs. Rotochemical Heating in Old Neutron Stars

Seminar room, Kenkyu honkan 3F
Dark matter (DM) particles in the Universe accumulate in neutron stars (NSs) through their interactions with ordinary matter. It has been known that their annihilation inside the NS core causes late-time heating, with which the surface temperature becomes a constant value of Ts≃(2−3)×10^3 K for the NS age t≳10^{6−7} years. This conclusion is, however, drawn based on the assumption that the beta equilibrium is maintained in NSs throughout their life, which turns out to be invalid for rotating pulsars. The slowdown in the pulsar rotation drives the NS matter out of beta equilibrium, and the resultant imbalance in chemical potentials induces late-time heating, dubbed as rotochemical heating. This effect can heat a NS up to Ts≃10^6 K for t≃10^{6−7} years. In fact, recent observations found several old NSs whose surface temperature is much higher than the prediction of the standard cooling scenario and is consistent with the rotochemical heating. Motivated by these observations, in this letter, we reevaluate the significance of the DM heating in NSs, including the effect of the rotochemical heating. We then show that the signature of DM heating can still be detected in old ordinary pulsars, while it is concealed by the rotochemical heating for old millisecond pulsars. To confirm the evidence for the DM heating, however, it is necessary to improve our knowledge on nucleon pairing gaps as well as to evaluate the initial period of the pulsars accurately. In any cases, a discovery of a very cold NS can give a robust constraint on the DM heating, and thus on DM models. To demonstrate this, as an example, we also discuss the case that the DM is the neutral component of an electroweak multiplet, and show that an observation of a NS with Ts≲10^3 K imposes a stringent constraint on such a DM candidate.

Kazunobu Maruyoshi, Seikei University

Landscape of Superconformal Field Theories in 4d

Meeting room 1, Kenkyu honkan 1F
Abstract: Classification of superconformal field theories (SCFTs) is an important question in theoretical physics. We would like to (partially) answer this question focusing on SCFTs in four dimensions realized in the fixed points of the renormalization group flow induced by certain deformations of “known” SCFTs. The deformations include all possible relevant deformations and F-term couplings to gauge-singlet chiral multiplets. By “known” we mean we know the superconformal index in enough higher order. With this knowledge our deformation program is well defined and produces various fixed points. As simple examples, we see the deformations of the N=2 Argyres-Douglas theory, and of N=1 supersymmetric SU(2) gauge theory coupled to an adjoint and two fundamental chiral multiplets. In particular, from the latter theory, we find 34 fixed points, which cover all the known (low central charge) SCFTs and the interesting unknown ones, and 36 candidate fixed points possessing unphysical operators, including one with (a, c)=(0.20, 0.22), that need further investigation.

Mark Barton (NAOJ)

Design and status of KAGRA

Seminar room, Kenkyu honkan 3F
KAGRA is a 3-km laser-interferometric gravitational-wave detector under construction in Japan to form part of a network with other advanced detectors such as LIGO and Virgo. Innovative features include underground construction for lower seismic noise and cryogenic operation for lower thermal noise. Construction of the bKAGRA phase is essentially complete, and commissioning is underway, with the goal of participating in the LIGO/Virgo O3 observing run towards the end of 2019. The design and status of the detector are described.

Yu Sang, Institute of Theoretical Physics, Chinese Academy of Sciences

Stochastic gravitational wave background from reheating

Seminar room, Kenkyu honkan 3F
In preheating stage after inflation, fluctuations of inflaton field may be enhanced exponentially by parametric resonance. The large and time dependent density inhomogeneity will produce stochastic gravitational wave background. We use lattice simulation to study the non-perturbative evolution of the inflaton field and the production of gravitational waves. We focus on axion monodromy inflation model and find that significant single-peak stochastic gravitational wave backgrounds are generated during preheating.

Junsei Tokuda, Department of Physics, Kyoto University

IR obstruction to Lorentz invariant UV completion

Seminar room, Kenkyu honkan 3F
Recently, it has been recognized that low energy effective field theory must satisfy an infinite number of positivity bounds when UV completion is local, analytic, unitary, and Lorentz invariant. In this talk, I will firstly review the derivation of positivity bounds and their importance. Then, I will introduce our recent work in which we show that the locality assumption is not necessary to derive some of positivity bounds obtained in the literature. Such bounds may provide IR obstructions to analytic, unitary, and Lorentz invariant UV completion.
References :
Junsei Tokuda, arXiv:1902.10039

全卓樹, 高知工科大学

世論力学:数理的な政治社会学の試み

Seminar room, Kenkyu honkan 3F
多数決は生物社会の集団的意思決定における遍在的な原理であり、人類の民主主義社会もその一例である。民主主義な多数決には、その単純な見かけとは裏腹ないくつかの「逆理」が知られていて、少数ながら強い影響力を振るう利益団体の存在、冷笑的反対派が既存優越派の補完勢力となる事象、などがいたるところで観察されるのである。われわれは社会集団における多数派の形成を、スピン・モデルに範をとって数理物理学の枠組みに載せてモデル化した理論、「世論力学」を発展させた。このモデルが「多数決民主主義の実態」を、諸逆理を含めて、よく記述している様子を解説する。

Hidenori Fukaya, Osaka University

Atiyah-Patodi-Singer index theorem and domain-wall fermions

Meeting Room 1, Kenkyu honkan 1F, slides (kek.jp only)
The Atiyah-Patodi-Singer index theorem describes the bulk-edge correspondence of symmetry protected topological insulators. The mathematical set-up for this theorem is, however, not directly related to the physical fermion system, as it imposes on the fermion fields a non-local boundary condition known as the “APS boundary condition” by hand, which is unlikely to be realized in the materials. In 2017, we showed that the same integer as the APS index can be obtained from the eta-invariant of the domain-wall Dirac operator. In this work, we invite three mathematicians to our group and prove that this correspondence is not a coincidence but generally true.

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