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Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking

  • Book
  • © 2017

Overview

Authors:
  1. Takahiro Doi

    1. Nishina Center, RIKEN, Saitama, Japan

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  • Nominated as an outstanding PhD thesis by the Department of Physics, Kyoto University
  • Presents a new general method to express a gauge-invariant quantity with respect to the Dirac eigenmodes
  • Offers a clear introduction to Kogut–Susskind formalism on the temporally odd-number lattice
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Basics of QCD and Lattice QCD

    • Takahiro Doi
    Pages 1-12

  3. Relation Between Confinement and Chiral Symmetry Breaking

    • Takahiro Doi
    Pages 13-46

  4. Generalization to Chiral Fermion on the Lattice

    • Takahiro Doi
    Pages 47-55

  5. Summary and Outlook

    • Takahiro Doi
    Pages 57-59
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Keywords

About this book

This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) – quark confinement and chiral symmetry breaking. The author develops a new analysis method in the lattice QCD, and derives a number of analytical formulae to express the order parameters for quark confinement, such as the Polyakov loop, its fluctuations, and the Wilson loop in terms of the Dirac eigenmodes closely related to chiral symmetry breaking. Based on the analytical formulae, the author analytically as well as numerically shows that at finite temperatures there is no direct one-to-one correspondence between them. The thesis describes this extraordinary achievement using the first-principle analysis, and proposes a possible new phase in which quarks are confined and chiral symmetry is restored.


Authors and Affiliations

  • Nishina Center, RIKEN, Saitama, Japan

    Takahiro Doi

About the author

Dr. Takahiro Doi is a special postdoctral researcher (SPDR) at RIKEN. His work is concerned with the theory of particle and nuclear physics. He received his Bachelor, Master and Ph.D. from the Department of Physics, Kyoto University in 2012, 2014 and 2017, respectively. He was awarded a research fellowship for young scientists for 2015 to 2017 by the Japan Society for Promotion of Science (JSPS), and his research was supported by the JSPS.

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