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2017 Fiscal Year Research-status Report

ラグランジアンのない場の量子論の基礎及び応用

Research Project

Project/Area Number 17K14265
Research InstitutionThe University of Tokyo

Principal Investigator

米倉 和也  東京大学, カブリ数物連携宇宙研究機構, 特任研究員 (90769043)

Project Period (FY) 2017-04-01 – 2021-03-31
Keywordsfundamental principles / SPT / anomaly
Outline of Annual Research Achievements

In this academic year, very significant results have been achieved in my research and I'm really satisfied with the achievement. Let me describe one of them which is related to the theme of this project.

In studying quantum field theories without relying on Lagrangian, the fundamental principles of physics, namely locality and unitarity, are very important. By using these fundamental principles, I proved a classification theorem of what is called invertible field theory. Invertible field theory is physically important in many contexts such as symmetry protected topological phases, anomalies, and generalized theta angles in condensed matter physics as well as high energy physics. Without relying on Lagrangian at all, I classified them by using locality and unitarity.

Current Status of Research Progress
Current Status of Research Progress

1: Research has progressed more than it was originally planned.

Reason

The proof of the classification theorem is beyond what I expected, and I believe this is a significant achievement.

Strategy for Future Research Activity

I'm planning to study more about anomalies in quantum field theory and its applications to physical phenomena. Even if the theory has a Lagrangian, there can be anomalies which are not immediately obvious from the Lagrangian and they can play significant roles in constraining the theory. In particular, I'm planning to study QCD phase transitions following my previous work using the technique of 't Hooft anomalies.

Causes of Carryover

旅費について、先方負担が多かったためにあまり使わなかった。それを次年度以降に使う予定である。

  • Research Products

    (3 results)

All 2017

All Journal Article (3 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 3 results,  Open Access: 3 results)

  • [Journal Article] 8d gauge anomalies and the topological Green-Schwarz mechanism2017

    • Author(s)
      Inaki Etxebarria, Hirotaka Hayashi, Kantaro Ohmori, Yuji Tachikawa, Kazuya Yonekura
    • Journal Title

      Journal of High Energy Physics

      Volume: JHEP11(2017)177 Pages: -

    • DOI

      https://doi.org/10.1007/JHEP11(2017)177

    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Smallest 3d hyperbolic manifolds via simple 3d theories2017

    • Author(s)
      Dongmin Gang, Yuji Tachikawa, Kazuya Yonekura
    • Journal Title

      PHYSICAL REVIEW D

      Volume: 96 Pages: -

    • DOI

      https://doi.org/10.1103/PhysRevD.96.061701

    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] From 4d Yang-Mills to 2d CP^{N-1} model: IR problem and confinement at weak coupling2017

    • Author(s)
      Masahito Yamazaki, Kazuya Yonekura
    • Journal Title

      Journal of High Energy Physics

      Volume: JHEP07(2017)088 Pages: -

    • DOI

      https://doi.org/10.1007/JHEP07(2017)088

    • Peer Reviewed / Open Access

URL: 

Published: 2018-12-17  

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