Quantum Field Theory 1 2023/24
13
talks
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Collection Number
C23044
Displaying 25 - 36 of 404
Format results
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Relativity 2023/24
14 talks-Collection NumberC23043Talk
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Topological Quantum Field Theories - mini-course
9 talks-Collection NumberC23048Talk
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Topological Quantum Field Theories Lecture 20231006
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231013
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231020
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231027
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231103
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231110
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231124
Perimeter Institute for Theoretical Physics -
Topological Quantum Field Theories Lecture 20231201
Perimeter Institute for Theoretical Physics
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General Relativity for Cosmology
22 talks-Collection NumberC23040Talk
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Quantum Theory 2023/24
14 talks-Collection NumberC23042Talk
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Quantum Theory Lecture - 090623
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Perimeter Institute for Theoretical Physics
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Perimeter Institute for Theoretical Physics
PIRSA:23090039 -
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Quantum Theory Lecture - 090723
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Perimeter Institute for Theoretical Physics
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Perimeter Institute for Theoretical Physics
PIRSA:23090050 -
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Quantum Theory Lecture - 090823
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Perimeter Institute for Theoretical Physics
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Perimeter Institute for Theoretical Physics
PIRSA:23090040 -
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Quantum Theory Lecture - 091123
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Perimeter Institute for Theoretical Physics
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Perimeter Institute for Theoretical Physics
PIRSA:23090041 -
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Quantum Theory Lecture - 091323
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Perimeter Institute for Theoretical Physics
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Perimeter Institute for Theoretical Physics
PIRSA:23090042 -
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Quantum Theory Lecture - 091423
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Perimeter Institute for Theoretical Physics
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Perimeter Institute for Theoretical Physics
PIRSA:23090043 -
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Quantum Theory Lecture - 091823
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Perimeter Institute for Theoretical Physics
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Perimeter Institute for Theoretical Physics
PIRSA:23090044 -
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Quantum Theory Lecture - 092023
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Perimeter Institute for Theoretical Physics
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Perimeter Institute for Theoretical Physics
PIRSA:23090045 -
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Classical Physics 2023/24
14 talks-Collection NumberC23041Talk
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Cosmology (2022/2023)
13 talks-Collection NumberC23028Talk
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Quantum Gravity (2022/2023)
13 talks-Collection NumberC23025Talk
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Mathematical Physics - Elective (2022/2023)
13 talks-Collection NumberC23027Talk
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Quantum Matter (2022/2023)
13 talks-Collection NumberC23024Talk
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AdS/CFT (2022/2023)
13 talks-Collection NumberC23026Talk
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Mini introductory course on topological orders and topological quantum computing
2 talks-Collection NumberC23023Talk
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Topological Quantum Field Theories - mini-course
9 talks-Collection NumberC23048A quantum field theory is deemed topological if it exhibits the remarkable property of being independent of any background metric. In contrast to most other types of quantum field theories, topological quantum field theories possess a well-defined mathematical framework, tracing its roots back to the pioneering work of Atiyah in 1988. The mathematical tools employed to define and study topological quantum field theories encompass concepts from category theory, homotopy theory, topology, and algebra.
In this course, we will delve into the mathematical foundations of this field, explore examples and classification results, especially in lower dimensions. Subsequently, we will explore more advanced aspects, such as invertible theories, defects, the cobordism hypothesis, or state sum models in dimensions 3 and 4 (including Turaev-Viro and Douglas-Reutter models), depending on the interests of the audience.
Today, the mathematics of topological quantum field theories has found numerous applications in physics. Recent applications include the study of anomalies, non-invertible symmetries, the classification of topological phases of matter, and lattice models. The course aims to provide the necessary background for understanding these applications. -
General Relativity for Cosmology
22 talks-Collection NumberC23040This is an advanced graduate course which develops the math and physics of general relativity from scratch up to the highest level. The going will sometimes be steep but I try to be always careful. The purpose is to prepare for studies in quantum gravity, relativistic quantum information, black hole physics and cosmology. Quick summary of the contents: - Coordinate-free Differential Geometry, Weyl versus Ricci curvature versus Torsion, Vielbein Formalism, Spin-connections, Form-valued Tensors, Spectral Geometry, some Cohomology. - Derivations of General Relativity including as a Gauge Theory, Diffeomorphism Invariance vs. Symmetries, Bianchi Identities vs. Local and Global Conservation Laws. - Penrose Diagrams for Black Holes and Cosmology, Types of Horizons, Energy Conditions and Singularity theorems, Properties and Classification of Exact Solutions. - Cosmology and Models of Cosmic Inflation -
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Cosmology (2022/2023)
13 talks-Collection NumberC23028This class is an introduction to cosmology. We'll cover expansion history of the universe, thermal history, dark matter models, and as much cosmological perturbation theory as time permits. -
Quantum Gravity (2022/2023)
13 talks-Collection NumberC23025The main focus of this course is the exploration of the symmetry structure of General Relativity which is an essential step before any attempt at a (direct) quantization of GR. We will start by developing powerful tools for the analysis of local symmetries in physical theories (the covariant phase space method) and then apply it to increasingly complex theories: the parametrized particle, Yang--Mills theory, and finally General Relativity. We will discover in which ways these theories have similar symmetry structures and in which ways GR is special. We will conclude by reviewing classical results on the uniqueness of GR given its symmetry structure and discuss why it is so hard to quantize it. In tutorials and homeworks, through the reading of articles and collegial discussions in the classroom---as well as good old exercises---you will explore questions such as "Should general relativity be quantized at all? Is a single graviton detactable (even in principle)?", "What is the meaning of the wave functions of the universe?", "Can we do physics without time?". -
Mathematical Physics - Elective (2022/2023)
13 talks-Collection NumberC23027Title: An introduction to twistors Course Description: Twistor theory, introduced by Penrose many years ago, is a way to reformulate massless fields on four-dimensional space-time in terms of an auxiliary 6-dimensional complex manifold, called twistor space. This course will introduce twistor space and the Penrose correspondence (relating fields on twistor space and space-time), at both classical and quantum levels. We will discuss the twistor realization of self-dual Yang-Mills theory and of self-dual gravity. If time permits we will discuss the connection between twistors and celestial holography.
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Quantum Matter (2022/2023)
13 talks-Collection NumberC23024Matter is quantum. Growing experimental results on materials, natural and synthetic (ion traps, cold atoms etc.,) and concomitant theoretical developments make `quantum matter' an exciting field. There is also a growing interplay of quantum matter physics and quantum information/computation. With a focus on concepts I plan to discuss key phenomenology, quantum models and theory. -
AdS/CFT (2022/2023)
13 talks-Collection NumberC23026We will cover the basics of the gauge/gravity duality, including some of the following aspects: holographic fluids, applications to condensed matter systems, entanglement entropy, and recent advances in understanding the black hole information paradox. -
Mini introductory course on topological orders and topological quantum computing
2 talks-Collection NumberC23023In this mini course, I shall introduce the basic concepts in 2D topological orders by studying simple models of topological orders and then introduce topological quantum computing based on Fibonacci anyons. Here is the (not perfectly ordered) syllabus.
- Overview of topological phases of matter
- Z2 toric code model: the simplest model of 2D topological orders
- Quick generalization to the quantum double model
- Anyons, topological entanglement entropy, S and T matrices
- Fusion and braiding of anyons: quantum dimensions, pentagon and hexagon identities
- Fibonacci anyons
- Topological quantum computing