From QCD Flux Tubes to Gravitational S-matrix and Back (eBook)

Dr Victor Gorbenko was awarded the PhD degree by New York University in 2015, and is currently with the Physics Department at Stanford University.

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