Distribution of energy momentum tensor around static charges in lattice simulations and an effective model / / Ryosuke Yanagihara

• Record Nr.: UNISA996466847303316
• Autore: Yanagihara Ryosuke
• Pubbl/distr/stampa: Gateway East, Singapore : , : Springer, , [2021]; ©2021
• ISBN: 981-16-6234-7
• Descrizione fisica: 1 online resource (170 pages)
• Collana: Springer Theses
• Disciplina: 530.143
• Soggetti: Yang-Mills theory; Quantum chromodynamics; Lattice gauge theories
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Intro -- Supervisors' Foreword -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 Quantum Chromodynamics -- 1.1.1 Asymptotic Freedom -- 1.1.2 Chiral Symmetry -- 1.1.3 Confinement -- 1.2 Flux Tube -- 1.2.1 Dual Abelian-Higgs Model -- 1.2.2 Dynamics of Strings -- 1.2.3 Lattice Approach -- 1.3 Phase Transition and Exploration of Deconfined Phase -- 1.4 Purpose -- 1.4.1 Lattice Study -- 1.4.2 Effective Model -- 1.5 Organization -- References -- 2 Energy Momentum Tensor -- 2.1 Derivation and Properties of Energy Momentum Tensor -- 2.1.1 Derivation and Properties -- 2.1.2 Physical Meanings -- 2.1.3 Example: Energy Momentum Tensor in Pure Gauge Theory -- 2.2 Energy Momentum Tensor in Maxwell Theory -- 2.2.1 Maxwell Equations and Classical System -- 2.2.2 Energy Conservation -- 2.2.3 Momentum Conservation -- 2.2.4 Maxwell Stress and Coulomb Force -- 2.2.5 Stress Distribution on Source Plane -- References -- 3 Lattice Field Theory -- 3.1 Feynman Path Integral -- 3.2 Lattice Regularization -- 3.2.1 Simple Example -- 3.2.2 Free Boson Field -- 3.2.3 Free Fermion Field -- 3.3 Lattice Gauge Theory -- 3.3.1 Gauge Principle and Gauge Field -- 3.3.2 Link Variable -- 3.3.3 Path Integral -- 3.3.4 Non-Abelian Gauge Theory on the Lattice -- 3.4 Gauge-Invariant Quantity on the Lattice -- 3.4.1 Wilson Loop -- 3.4.2 Polyakov Loop -- References -- 4 Yang-Mills Gradient Flow and Energy ; Momentum Tensor -- 4.1 Quantum Theory of Yang-Mills Theory -- 4.1.1 Action -- 4.1.2 Quantization -- 4.1.3 One-Loop Divergences -- 4.1.4 Renormalization -- 4.2 Introduction to Gradient Flow -- 4.2.1 Idea of Yang-Mills Gradient Flow -- 4.2.2 Perturbative Expansion of Gradient Flow -- 4.2.3 Example: Two-Point Function of Flowed Gauge Field -- 4.3 Proof of Renormalizability of Gradient Flow -- 4.3.1 (D+1)-Dimensional Field Theory.; 4.3.2 BRS Invariance and WT Identity of (D+1)-Dimensional System -- 4.3.3 Proof of Renormalizability -- 4.4 Application to Energy Momentum Tensor -- 4.4.1 Small Flow Time Expansion -- 4.4.2 Renormalization Group Equation and Expansion Coefficients -- 4.4.3 Energy Momentum Tensor on the Lattice -- 4.5 Comments on Fermions -- References -- 5 Distribution of Energy Momentum Tensor around Single Static Quark in Deconfined Phase of SU(3) Yang-Mills Theory -- 5.1 EMT around a Static Quark in SU(3) Yang-Mills Theory on the Lattice -- 5.1.1 Correlation -- 5.1.2 Spherical Coordinate -- 5.2 Lattice Setup -- 5.2.1 Gauge Configurations -- 5.2.2 Discretization Effect -- 5.2.3 Double Extrapolation -- 5.3 Results of EMT Distributions -- 5.3.1 Channel Dependence -- 5.3.2 Temperature Dependence -- References -- 6 Distribution of Energy Momentum Tensor around Static Quark-Anti-Quark in Vacuum of SU(3) Yang-Mills Theory -- 6.1 Wilson Loop and QbarQ Potential -- 6.1.1 QbarQ Potential -- 6.1.2 Determination of NAPE -- 6.2 Distribution of Energy Momentum Tensor around QbarQ -- 6.2.1 Correlation -- 6.2.2 Cylindrical Coordinate -- 6.3 Setup -- 6.4 EMT Distribution on Source Plane -- 6.5 EMT Distribution on Mid-Plane -- 6.5.1 Double Extrapolation -- 6.5.2 EMT Distribution on Mid-Plane -- References -- 7 Distribution of Energy Momentum Tensor around Magnetic Vortex in Abelian-Higgs Model -- 7.1 Stress Tensor and Momentum Conservation in Cylindrical Coordinate -- 7.2 Abelian-Higgs Model -- 7.2.1 Model -- 7.2.2 Energy Momentum Tensor in Cylindrical Coordinate System -- 7.3 Magnetic Vortex -- 7.3.1 Magnetic Vortex with Finite Length -- 7.3.2 Infinitely Long Vortex -- 7.3.3 Physical Units -- 7.3.4 Details of Numerical Analysis -- 7.4 Numerical Results -- 7.4.1 Infinitely Long Vortex -- 7.4.2 Finite-Length Flux Tube -- References -- 8 Summary and Outlook -- References.; Appendix A Improved Estimator -- Appendix B Tree-Level Improvement of Lattice Observables -- Appendix C Leading-Order Perturbative Analysis of EMT around Single Static Charge -- Appendix D Smearing Method -- D.1 SU(N) Projection -- D.2 APE Smearing -- Appendix E Analytic Properties of Abelian-Higgs Model.