From QCD flux tubes to gravitational s-matrix and back
Author(s)
Bibliographic Information
From QCD flux tubes to gravitational s-matrix and back
(Springer theses : recognizing outstanding Ph. D. research)
Springer, c2017
Available at 1 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
"Doctoral thesis accepted by New York University, New York, NY, USA"
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
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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