Progress of Theoretical and Experimental Physics

http://ptep.oxfordjournals.org

List of Papers (Total 742)

On a nonlinear gravitational wave. Geodesics

An exact, plane-wave solution of the gravitational field equations is investigated. The source stress tensor is represented by an anisotropic null fluid with energy flux to which the energy density <mml:math display="inline"><mml:mi>ρ</mml:mi></mml:math>ρ and all pressures are finite throughout the spacetime. They depend on a constant length (taken of the order of the Planck...

Reinterpretation of the Starobinsky model

The Starobinsky model of inflation, consistent with Planck 2015, has a peculiar form of the action, which contains the leading Einstein term <mml:math display="inline"><mml:mi>R</mml:mi></mml:math>R, the <mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math>R2 term with a huge coefficient, and negligible higher-order...

<mml:math display="inline"><mml:mrow><mml:mn>3</mml:mn><mml:mi>α</mml:mi></mml:mrow></mml:math>3α cluster structure and monopole transition in <mml:math display="inline"><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math>12C and <mml:math display="inline"><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mrow><mml:mn>14</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math>14C

<mml:math display="inline"><mml:mrow><mml:mn>3</mml:mn><mml:mi>α</mml:mi></mml:mrow></mml:math>3α cluster structures and monopole transitions of <mml:math display="inline"><mml:mrow><mml:msup><mml:mn>0</mml:mn><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math>0+ states in <mml:math display="inline"><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow...

On the structure observed in the in-flight <mml:math display="inline"><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mn>3</mml:mn></mml:msup><mml:mtext>He</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi>K</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:mi>Λ</mml:mi><mml:mi>p</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math>3He(K−,Λp)n reaction at J-PARC

A theoretical investigation is done to clarify the origin of the peak structure observed near the <mml:math display="inline"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math>K−pp threshold in the in-flight <mml:math display="inline"><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mn>3</mml:mn></mml:msup...

Enhanced collectivity of $\gamma$ vibration in neutron-rich Dy isotopes with $N=108$–$110$

The $\gamma$ vibrational mode of excitation is an acknowledged collective mode in deformed nuclei. Quite recently, a sudden decrease in the excitation energy of the $\gamma$ vibration was observed at RIKEN for the neutron-rich Dy isotopes at $N=106$. In the present work, by studying systematically the microscopic structure of the $\gamma$ vibration in the neutron-rich Dy isotopes...

A theoretical treatment of four-body resonances by using the complex scaling method

A theoretical treatment of four-body resonances by using the complex scaling method is discussed. In order to reduce the dimension of the Hamiltonian matrix, the stochastic variational method is applied for the subsystems of the four-body system. Furthermore, to investigate the resonant solutions embedded in the continuum states we employ the complex-range Gaussian basis function...

Revisiting the texture zero neutrino mass matrices

In the light of refined and large measurements of the reactor mixing angle <mml:math display="inline"><mml:mrow><mml:msub><mml:mi>θ</mml:mi><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>θ13, we have revisited the texture three- and two-zero neutrino mass matrices in the flavor basis. For Majorana neutrinos, it has been explicitly shown that all the...

Fermion number anomaly with the fluffy mirror fermion

Quite recently, Grabowska and Kaplan presented a 4-dimensional lattice formulation of chiral gauge theories based on the chiral overlap operator. We study this formulation from the perspective of the fermion number anomaly and possible associated phenomenology. A simple argument shows that the consistency of the formulation implies that the fermion with the opposite chirality to...

Lorentz symmetry violation in the fermion number anomaly with the chiral overlap operator

Recently, Grabowska and Kaplan proposed a four-dimensional lattice formulation of chiral gauge theories on the basis of a chiral overlap operator. We compute the classical continuum limit of the fermion number anomaly in this formulation. Unexpectedly, we find that the continuum limit contains a term which is not Lorentz invariant. The term is, however, proportional to the gauge...

Coherent states in quantum $\mathcal{W}_{1+\infty}$ algebra and qq-character for 5d super Yang–Mills

The instanton partition functions of $\mathcal{N}=1$ 5d super Yang–Mills are built using elements of the representation theory of quantum $\mathcal{W}_{1+\infty}$ algebra: Gaiotto state, intertwiner, vertex operator. This algebra is also known under the names of Ding–Iohara–Miki and quantum toroidal $\widehat{\mathfrak{gl}}(1)$ algebra. Exploiting the explicit action of the...

LHC 750 GeV diphoton excess in a radiative seesaw model

We investigate a possibility for explaining the recently announced 750 GeV diphoton excess by the ATLAS and CMS experiments at the CERN LHC in a model with multiple doubly charged particles, that was originally suggested for explaining tiny neutrino masses through a three-loop effect in a natural way. The enhanced radiatively generated effective coupling of a new singlet scalar...

Monopole–center vortex chains in SU(2) gauge theory

We study the relation between center vortex fluxes and monopole fluxes for the SU(2) gauge group in a model. This model is the same as the thick center vortex model but we use monopole–antimonopole configurations instead of center vortices in the vacuum. Comparing the group factor for the fundamental representation obtained by monopole–antimonopole configurations with the one...

Probing SUSY with 10 TeV stop mass in rare decays and CP violation of kaon

We probe SUSY at the 10 TeV scale in the rare decays and CP violation of kaon. We focus on the processes of <mml:math display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>L</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mi>ν</mml:mi><mml:mover accent="true"><mml:mi>ν</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow...

Anomaly and sign problem in <mml:math display="inline"><mml:mrow><mml:mi mathvariant="script" class="MJX-tex-caligraphic">N</mml:mi><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>N=(2,2) SYM on polyhedra: Numerical analysis

We investigate two-dimensional <mml:math display="inline"><mml:mrow><mml:mi mathvariant="script" class="MJX-tex-caligraphic">N</mml:mi><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>N=(2,2) supersymmetric Yang–Mills (SYM) theory on discretized curved space...

$\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations

The ${\mathbb Z}$ first-order differential Lévy-Leblond equations (LLEs) are the non-relativistic analogs of the Dirac equation, being square roots of ($1+d$)-dimensional Schrödinger or heat equations. Just like the Dirac equation, the LLEs possess a natural supersymmetry. In previous works it was shown that non-supersymmetric partial differential equations (notably the Schr...

On the discrepancy between proton and α-induced d-cluster knockout on 16O

The deuteron knockout reactions, <mml:math display="inline"><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mrow><mml:mn>16</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mi>d</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mn...

A note on the semiclassical formulation of BPS states in four-dimensional <mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>N=2 theories

Vector spaces of (framed) BPS states of Lagrangian four-dimensional <mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>N=2 field theories can be defined in semiclassical chambers in terms of the <mml:math display="inline"><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow...

Gravitational positive energy theorems from information inequalities

In this paper we argue that classical asymptotically anti-de Sitter spacetimes that arise as states in consistent ultraviolet completions of Einstein gravity coupled to matter must satisfy an infinite family of positive energy conditions. To each ball-shaped spatial region <mml:math display="inline"><mml:mi>B</mml:mi></mml:math>B of the boundary spacetime we can associate a bulk...

Professor Nambu, string theory, and the moonshine phenomenon

I first recall the last occasion I met the late Professor Yoichiro Nambu, in a hospital in Osaka. I then present a brief introduction to a moonshine phenomenon in string theory that have recently come under investigation.

Old and new scaling laws in quantum quench

The response of a many-body system to a time-dependent coupling which passes through or approaches a critical point displays universal scaling behavior. In some regimes, scaling laws have been known since the 1970s. Recently, holographic techniques have been used to understand the origins of such scaling. Along the way, new scaling behaviors in other regimes have been found in...

Light scalars and the cosmos: Nambu–Goldstone and otherwise†

This talk focuses on the role of light scalars in cosmology, both Nambu–Goldstone bosons and pseudo moduli. The former include QCD axions, which might constitute the dark matter, and more general axions, which, under certain conditions, might play the role of inflatons, implementing natural inflation. The latter are the actors in (generalized) hybrid inflation. They rather...

Yukawa conformal field theories and emergent supersymmetry

We study conformal field theories (CFTs) with Yukawa interactions in dimensions between 2 and 4; they provide UV completions of the Nambu–Jona-Lasinio and Gross–Neveu models which have four-fermion interactions. We compute the sphere free energy and certain operator scaling dimensions using dimensional continuation. In the Gross–Neveu CFT with <mml:math display="inline"><mml:mi>N...

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space

We study a two-dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near-extremal black holes, or more generally, nearly <mml:math display="inline"><mml:mrow><mml:mi>A</mml:mi><mml:mi>d</mml:mi><mml:msub><mml:mi>S</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>AdS2 spacetimes. The asymptotic symmetries of <mml:math display...

The Dirac composite fermion of the fractional quantum Hall effect

We review the recently proposed Dirac composite fermion theory of the half-filled Landau level. This paper is based on a talk given at the Nambu Symposium at the University of Chicago, March 11–13, 2016.