Mathematical Aspects of Quantum Field Theories

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Calaque, Damien (Editor ), Strobl, Thomas (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Mathematical Physics Studies,
Temas:
Elementary particles (Physics).
Quantum field theory.
Mathematical physics.
Physics-Philosophy.
Elementary Particles, Quantum Field Theory.
Mathematical Physics.
Philosophical Foundations of Physics and Astronomy.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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