# Search result: Catalogue data in Autumn Semester 2016

Physics Master | ||||||

Electives | ||||||

Electives: Physics and Mathematics | ||||||

Selection: Theoretical Physics | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |
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402-0822-13L | Introduction to Integrability | W | 6 credits | 2V + 1U | N. Beisert | |

Abstract | This course gives an introduction to the theory of integrable systems, related symmetry algebras and efficients calculational methods. | |||||

Objective | Integrable systems are a special class of physical models that can be solved exactly due to an exceptionally large number of symmetries. Examples of integrable models appear in many different areas of physics, including classical mechanics, condensed matter, 2d quantum field theories and lately in string- and gauge theories. They offer a unique opportunity to gain a deeper understanding of generic phenomena in a simplified, exactly solvable setting. In this course we introduce the various notions of integrability in classical mechanics, quantum mechanics and quantum field theory. We discuss efficient methods for solving such models as well as the underlying enhanced symmetries. | |||||

Content | * Classical Integrability * Integrable Field Theory * Integrable Spin Chains * Quantum Integrability * Integrable Statistical Mechanics * Quantum Algebra * Bethe Ansatz and Related Methods * AdS/CFT Integrability | |||||

Literature | * V. Chari, A. Pressley, "A Guide to Quantum Groups", Cambridge University Press (1995). * O. Babelon, D. Bernard, M. Talon, "Introduction to Classical Integrable Systems", Cambridge University Press (2003) * N. Reshetikhin, "Lectures on the integrability of the 6-vertex model", http://arxiv.org/abs/1010.5031 * L.D. Faddeev, "How Algebraic Bethe Ansatz Works for Integrable Model", http://arxiv.org/abs/hep-th/9605187 * D. Bernard, "An Introduction to Yangian Symmetries", Int. J. Mod. Phys. B7, 3517-3530 (1993), http://arxiv.org/abs/hep-th/9211133 * V. E. Korepin, N. M. Bogoliubov, A. G. Izergin, "Quantum Inverse Scattering Method and Correlation Functions", Cambridge University Press (1997) | |||||

402-0883-63L | Symmetries in Physics | W | 6 credits | 2V + 1U | M. Gaberdiel | |

Abstract | The course gives an introduction to symmetry groups in physics. It explains the relevant mathematical background (finite groups, Lie groups and algebras as well as their representations), and illustrates their important role in modern physics. | |||||

Objective | The aim of the course is to give a self-contained introduction into finite group theory as well as Lie theory from a physicists point of view. Abstract mathematical constructions will be illustrated with examples from physics. | |||||

402-0898-00L | The Physics of Electroweak Symmetry BreakingDoes not take place this semester. | W | 6 credits | 2V + 1U | not available | |

Abstract | The aim is to understand the need of physics beyond the Standard Model, the basic techniques of model building in theories BSM and the elements of collider physics required to analyze their phenomenological implications. After an introduction to the SM and alternative theories of electroweak symmetry breaking, we will investigate these issues in the context of models with warped extra dimensions. | |||||

Objective | After the course the student should have a good knowledge of some of the most relevant theories beyond the Standard Model and have the techniques to understand those theories that have not been surveyed in the course. He or she should be able to compute the constraints on any model of new physics, its successes explaining current experimental data and its main phenomenological implications at colliders. | |||||

Prerequisites / Notice | The former title of this course unit was "The Physics Beyond the Standard Model". If you already got credits for "The Physics Beyond the Standard Model" (402-0898-00L), you cannot get credits for "The Physics of Electroweak Symmetry Breaking" (402-0898-00L). | |||||

402-0845-60L | Quantum Field Theory III: EFT and SUSY | W | 6 credits | 2V + 1U | G. Isidori | |

Abstract | This course provides a comprehensive introduction to two advanced topics in Quantum Field Theory: Effective Field Theories (EFTs) and Supersymmetry (SUSY). | |||||

Objective | ||||||

Content | In the first part we will discuss the basic concepts of EFTs, with particular attention to the concepts of decoupling of heavy degrees of freedom, matching and renormalization, chiral Lagrangians. The Standard Model viewed as an EFT will also be discussed as a specific application. The second part of the course is devoted to Supersymmetry, starting from the discussion of the SUSY algebra and its representations, to arrive, after the presentation of the superfield formalism, to the construction of the supersymmetric version of gauge field theories. A phenomenological discussion of the mechanisms of SUSY breaking and the construction of viable supersymmetric extensions of the Standard Model will also be presented. Topics: - Introduction to Effective Field Theories - The Appelquist-Carrazone theorem - The matching procedure - Chiral Lagrangians - The SM as an EFTs - The SUSY algebra - Superspace and superfields - Supersymmetric field theories - Supersymmetric gauge theories - Supersymmetry breaking - The Minimal supersymmetric Standard Model | |||||

Literature | A. Manohar, Effective field theories, Lect. Notes Phys. 479 (1997) 311 [hep-ph/9606222] J. Wess and J. Bagger, "Supersymmetry and supergravity". Mueller-Kirsten & Wiedemann, "Introduction to supersymmetry". S. Weinberg, "The quantum theory of fields. Vol. 3: Supersymmetry". | |||||

Prerequisites / Notice | QFT-I (mandatory) and QFT-II (highly recommended). | |||||

402-0899-65L | Higgs PhysicsDoes not take place this semester. | W | 6 credits | 2V + 1U | M. Grazzini | |

Abstract | The course introduces the theory and phenomenology of the recently discovered Higgs boson.With this course the students will receive a detailed introduction to the physics of the Higgs boson in the Standard Model. They will acquire the necessary theoretical background to understand the main production and decay channels of the Higgs boson at high-energy colliders, and the corresponding experimenta | |||||

Objective | With this course the students will receive a detailed introduction to the physics of the Higgs boson in the Standard Model. They will acquire the necessary theoretical background to understand the main production and decay channels of the Higgs boson at high-energy colliders, and the corresponding experimental signatures. | |||||

Content | Theory part: - the Standard Model and the mass problem: WW scattering and the no-lose theorem - the Higgs mechanism and its implementation in the Standard Model - radiative corrections and the screening theorem - theoretical constraints on the Higgs mass; the hierarchy problem - Higgs production in e+e- collisions - Higgs production at hadron colliders - Higgs decays to fermions and vector bosons - Higgs differential distributions, rapidity distribution, pt spectrum and jet vetoes - Higgs properties and beyond the Standard Model perspective - Outlook: The Higgs sector in weakly coupled and strongly coupled new physics scenarios. Experimental part: * Introductory material: - reminders of detectors/accelerators - reminders of statistics: likelihoods, hypothesis testing - reminders of multivariate techniques: Neural Networks, Decision Trees * Main topics: - pre-history (pre-LEP) - LEP1: measurements at the Z-pole - LEP2: towards the limit mH<114 GeV - TeVatron searches - LHC: -- main channels overview -- dissect on analysis -- combine information from all channels -- differential measurements -- off-shell measurements - Future: -- pseudo-observables / EFT -- Beyond Standard Model | |||||

Literature | - Higgs Hunter's Guide (by S.Dawson, J. Gunion, H. Haber and G. Kane) - A. Djouadi, The Anatomy of electro-weak symmetry breaking. I: The Higgs boson in the standard model, Phys.Rept. 457 (2008) 1. | |||||

Prerequisites / Notice | Prerequisites: Quantum Field Theory I, Phenomenology of Particle Physics I | |||||

402-0849-00L | Introduction to Lattice QCD | W | 6 credits | 2V + 1U | P. De Forcrand | |

Abstract | This course offers an introduction to quantum field theories, in particular QCD, formulated on a space-time lattice. The lattice provides a non-perturbative, gauge-invariant regularization scheme for the Euclidean path integral. The course introduces both the theoretical background and the computational tools, like Monte Carlo simulations, used for the quantitative study of quarks and gluons. | |||||

Objective | To gain familiarity with the formalism of lattice field theories and their numerical simulation methods. | |||||

402-0461-00L | Quantum Information Theory | W | 8 credits | 3V + 1U | R. Renner | |

Abstract | The goal of this course is to introduce the foundations of quantum information theory. It starts with a brief introduction to the mathematical theory of information and then discusses the basic information-theoretic aspects of quantum mechanics. Further topics include applications such as quantum cryptography and quantum computing. | |||||

Objective | The course gives an insight into the notion of information and its relevance to physics and, in particular, quantum mechanics. It also serves as a preparation for further courses in the area of quantum information sciences. | |||||

402-0811-00L | Programming Techniques for Scientific Simulations I | W | 5 credits | 4G | M. Troyer | |

Abstract | This lecture provides an overview of programming techniques for scientific simulations. The focus is on advances C++ programming techniques and scientific software libraries. Based on an overview over the hardware components of PCs and supercomputer, optimization methods for scientific simulation codes are explained. | |||||

Objective | ||||||

402-0809-00L | Introduction to Computational Physics | W | 8 credits | 2V + 2U | H. J. Herrmann | |

Abstract | This course offers an introduction to computer simulation methods for physics problems and their implementation on PCs and super computers: classical equations of motion, partial differential equations (wave equation, diffusion equation, Maxwell's equation), Monte Carlo simulations, percolation, phase transitions | |||||

Objective | ||||||

Content | Einführung in die rechnergestützte Simulation physikalischer Probleme. Anhand einfacher Modelle aus der klassischen Mechanik, Elektrodynamik und statistischen Mechanik sowie interdisziplinären Anwendungen werden die wichtigsten objektorientierten Programmiermethoden für numerische Simulationen (überwiegend in C++) erläutert. Daneben wird eine Einführung in die Programmierung von Vektorsupercomputern und parallelen Rechnern, sowie ein Überblick über vorhandene Softwarebibliotheken für numerische Simulationen geboten. | |||||

Prerequisites / Notice | Lecture and exercise lessons in english, exams in German or in English | |||||

402-0865-66L | Physics of Cold Atomic Gases | W | 6 credits | 2V + 1U | W. Zwerger | |

Abstract | ||||||

Objective | ||||||

402-0580-00L | Superconductivity | W | 6 credits | 2V + 1U | M. Sigrist | |

Abstract | Superconductivity: thermodynamics, London and Pippard theory; Ginzburg-Landau theory: spontaneous symmetry breaking, flux quantization, type I and II superconductors; microscopic BCS theory: electron-phonon mechanism, Cooper pairing, quasiparticle spectrum and tunneling, Josephson effect, superconducting quantum interference devices (SQUID), brief introduction to unconventional superconductivity. | |||||

Objective | Introduction to the most important concepts of superconductivity both on phenomenological and microscopic level, including experimental and theoretical aspects. | |||||

Content | This lecture course provides an introduction to superconductivity, covering both experimental as well as theoretical aspects. The following topics are covered: Basic phenomena of superconductivity: thermodynamics, electrodynamics, London and Pippard theory; Ginzburg-Landau theory: spontaneous symmetry braking, flux quantization, properties of type I and II superconductors; microscopic BCS theory: electron-phonon mechanism, Cooper pairing, coherent state, quasiparticle spectrum, quasiparticle tunnel, Josephson effects, superconducting quantum interference devices (SQUID), brief extension to unconventional superconductivity. | |||||

Lecture notes | Lecture notes and additional materials are available. | |||||

Literature | M. Tinkham "Introduction to Superconductivity" H. Stolz: "Supraleitung" W. Buckel & R. Kleiner "Superconductivity" P. G. de Gennes "Superconductivity Of Metals And Alloys" A. A. Abrikosov "Fundamentals of the Theory of Metals" | |||||

Prerequisites / Notice | The preceding attendance of the scheduled lecture courses "Introduction to Solid State Physics" and "Quantum Mechanics I" are mandatory. The courses "Quantum Mechanics II" and "Solid State Theory" provide the most optimal conditions to follow the course. | |||||

402-0863-62L | Dissipation in Quantum Systems | W | 6 credits | 2V + 1U | R. Chitra | |

Abstract | The past decade has seen enormous development in nanophysics and qubit technologies for quantum computing. However, the utility of these systems is strongly limited by their coupling to the omnipresent dissipative bath. The fact that the bath typically destroys the coherence of the small open quantum system highlights the importance of understanding the effects of dissipative baths. | |||||

Objective | The principal aim of the course is to give the student an introduction to the field and a better appreciation of the impact of noise and dissipation on small quantum systems. | |||||

Content | The course will basically explore the question, "What are the effects of an external environment on the dynamics of a small system ?" We will start with the simplest cases of classical brownian motion and a classical harmonic oscillator connected to a dissipative bath. We will discuss the importance of fluctuation-dissipation theorems and discuss various physical examples. We will then discuss the quantum analogs of these systems. In particular, there will be a special focus on small open quantum systems, essentially qubits, where we will study the notions of decoherence and relaxation. We will introduce the concept of density matrices and associated methods like quantum master equations. These are particularly useful for studying the dynamics of qubits which are weakly coupled to a dissipative bath. We will also briefly explore the notions of entanglement entropy and concurrence in such systems. Some of these questions are linked to more general questions of thermalsation and relaxation of open quantum systems. | |||||

Prerequisites / Notice | The students are expected to have a working knowledge of advanced quantum mechanics. A knowledge of very basic notions of many body theory will also be useful. | |||||

402-0801-66L | Mechanical Metamaterials | W | 4 credits | 2V + 1U | S. Huber | |

Abstract | A mechanical metamaterial derives its static or dynamic properties not from its microscopic composition but rather through its clever engineering at larger scales. In this course we introduce the basic principles behind the design of modern mechanical metamaterials such as the use of Bragg scattering, local resonances, topological band-structures, and non-linear effects. | |||||

Objective | The students should get acquainted with a modern toolbox in the design of mechanical metamaterials. Equipped with the knowledge of the key design principles, the students will be able to choose the appropriate approach to create a metamaterial with a pre-defined functionality either for dynamic applications such as vibration isolation, wave-guiding, or the design of a heat-diode, or static properties such as stress absorption or the design of mechanisms used in robotics. | |||||

Content | 1.) Wave propagation in continuous systems 2.) Wave properties 3.) Discrete systems 4.) Local resonances 5.) Topology by example 6.) Topological classification 7.) Static systems 8.) Non-linear waves | |||||

Lecture notes | Hand-outs will be available in class. | |||||

402-0846-66L | The BFKL Equation Reloaded and the Multi-Regge Kinematics in QCD and in N=4 SYM | W | 1 credit | 2G | V. Del Duca | |

Abstract | The goal of the course is to help the audience to keep abreast of the strong advances there have been in the study of the high energy limit of scattering amplitudes in the last decade. | |||||

Objective | The goal of the course is to help the audience to keep abreast of the strong advances there have been in the study of the high energy limit of scattering amplitudes in the last decade. | |||||

Content | - the BFKL Hamiltonian as an integrable model - the analytic structure of the Mueller-Navelet jet cross sections in QCD - the analytic properties of N=4 SYM amplitudes in multi-Regge kinematics | |||||

Prerequisites / Notice | follow-up of the block course "An Introduction to the Perturbative Pomeron and to the BFKL Equation in QCD and in N=4 SYM" |

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