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

  • Takahiro Doi

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Takahiro Doi
    Pages 1-12
  3. Takahiro Doi
    Pages 57-59

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.


Lattice QCD Quark Confinement Chiral Symmetery Breaking Dirac Eigenmode Elitzur's Theorem Banks-Casher Relation Polyakov Loop Wilson Loop Overlap-fermion Kogut-Susskind Formalism

Authors and affiliations

  • Takahiro Doi
    • 1
  1. 1.Nishina CenterRIKENSaitamaJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte. Ltd 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-981-10-6595-8
  • Online ISBN 978-981-10-6596-5
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
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