Mathematical Aspects of Quantum Field Theories

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Calaque, Damien (Επιμελητής έκδοσης), Strobl, Thomas (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Mathematical Physics Studies,
• Θέματα: Physics.; Mathematical physics.; Quantum field theory.; String theory.; Quantum Field Theories, String Theory.; Mathematical Physics.; History and Philosophical Foundations of Physics.; Mathematical Applications in the Physical Sciences.

Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools i...

Πίνακας περιεχομένων:

• A derived and homotopical view on field theories, Damien Calaque
• Part I Locality in Perturbative QFTs
• 2 Perturbative algebraic quantum field theory, Klaus Fredenhagen and Katarzyna Rejzner
• Lectures on mathematical aspects of (twisted) supersymmetric gauge theories, Kevin Costello and Claudia Scheimbauer
• 4 Snapshots of Conformal Field Theory, Katrin Wendland
• Part II Chern-Simons Theory
• Faddeev's quantum dilogarithm and state-integrals on shaped triangulations, Jørgen Ellegaard Andersen and Rinat Kashaev
• 6 A higher stacky perspective on Chern-Simons theory, Domenico Fiorenza, Hisham Sati and Urs Schreiber
• Factorization homology in 3-dimensional topology, Nikita Markarian & Hiro Lee Tanaka
• Manifoldic homology and Chern-Simons formalism (by Nikita Markarian)
• Factorization Homology and Link Invariants (by Hiro Lee Tanaka)
• Deligne-Beilinson cohomology in U(1) Chern-Simons theories, Frank Thuillier
• Part III (Semi-)Classical Field Theories
• Semiclassical quantization of classical field theories, Alberto S. Cattaneo, Pavel Mnev and Nicolai Reshetikhin
• Local BRST cohomology for AKSZ field theories: a global approach, Giuseppe Bonavolontà and Alexei Kotov
• Symplectic and Poisson geometry of the moduli spaces of at connections over quilted surfaces, David Li-Bland and Pavol Ševera
• Groupoids, Frobenius algebras and Poisson sigma models, Ivan Contreras
• Part IV Algebraic Aspects of Locality
• Notes on factorization algebras, factorization homology and applications, Grégory Ginot
• Index.