From QCD flux tubes to gravitational s-matrix and back
著者
書誌事項
From QCD flux tubes to gravitational s-matrix and back
(Springer theses : recognizing outstanding Ph. D. research)
Springer, c2017
大学図書館所蔵 全1件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
"Doctoral thesis accepted by New York University, New York, NY, USA"
Includes bibliographical references
内容説明・目次
内容説明
This thesis studies various aspects of non-critical strings both as an example of a non-trivial and solvable model of quantum gravity and as a consistent approximation to the confining flux tube in quantum chromodynamics (QCD). It proposes and develops a new technique for calculating the finite volume spectrum of confining flux tubes. This technique is based on approximate integrability and it played a game-changing role in the study of confining strings. Previously, a theoretical interpretation of available high quality lattice data was impossible, because the conventional perturbative expansion for calculating the string spectra was badly asymptotically diverging in the regime accessible on the lattice. With the new approach, energy levels can be calculated for much shorter flux tubes than was previously possible, allowing for a quantitative comparison with existing lattice data. The improved theoretical control makes it manifest that existing lattice data provides strong evidence for a new pseudoscalar particle localized on the QCD fluxtube - the worldsheet axion. The new technique paves a novel and promising path towards understanding the dynamics of quark confinement.
目次
Introduction 1
1 Effective Field Theory for Relativistic Strings 7
1.1 Introduction and Summary . . . . . . . . . . . . . . . . . . . . . . . 7
1.2 Lattice Data versus Conventional Perturbative Expansion . . . . . . 16
2 Worldsheet S-matrix 24
2.1 Current Algebra for Branes . . . . . . . . . . . . . . . . . . . . . . 26
2.2 Current Algebra for Strings . . . . . . . . . . . . . . . . . . . . . . 31
2.3 Tree Level Warm-Up . . . . . . . . . . . . . . . . . . . . . . . . . . 35
2.4 One-loop 2 ! 2 Scattering . . . . . . . . . . . . . . . . . . . . . . . 38
2.5 Exact S-Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
2.6 1-Loop Integrability . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
2.7 Integrable S-matrices with Non-linear Poincare Symmetry . . . . . 57
3 Simplest Quantum Gravity 61
3.1 Thermodynamic Bethe Ansatz . . . . . . . . . . . . . . . . . . . . . 61
3.2 Hagedorn equation of state . . . . . . . . . . . . . . . . . . . . . . . 70
3.3 Absence of Local O_-Shell Observables . . . . . . . . . . . . . . . . 74
3.4 Quantum Black Holes and String Uncertainty Principle . . . . . . . 82
3.5 Classical Solutions: Black Hole Precursors and Cosmology . . . . . 89
4 Natural Tuning 99
4.1 Introduction and Summary . . . . . . . . . . . . . . . . . . . . . . . 99
4.2 Gravitational Shock Waves and Strings . . . . . . . . . . . . . . . . 110
4.3 Natural Tuning from Gravitational Dressing . . . . . . . . . . . . . 115
4.4 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
5 Flux Tube Spectrum from Thermodynamic Bethe Ansatz 135
5.1 Finite Volume Spectra From Infinite Volume Scattering . . . . . . . 136
5.2 Energy Levels of Flux Tubes . . . . . . . . . . . . . . . . . . . . . . 152
5.3 Future Directions and Conclusions . . . . . . . . . . . . . . . . . . 178
Appendices 183
Bibliography
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