Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes

András Vasy, Michał Wrochna
December 25, 2015
quantum field theory on curved spacetimes, Hadamard states, microlocal analysis
open access link

Wavefront sets and polarizations on supermanifolds

Claudio Dappiaggi, Heiko Gimperlein, Simone Murro, Alexander Schenkel
December 24, 2015
supergeometry, pseudodifferential operators, polarized wavefront sets, microlocal analysis, propagation of singularities
open access link Journal of Mathematical Physics 58(2), 023504 (2017)

Towards quantum field theory on spacetimes with boundaries

Gabriele Nosari
December 22, 2015
algebraic quantum field theory, Casimir effect, boundary conditions
open access link

Generalized Wentzell boundary conditions and holography

Jochen Zahn
December 17, 2015
holography, dimensional reduction, generalized free fields, generalized Wentzell boundary conditions
open access link doi:10.1007/s00023-017-0629-3

Braided categories of endomorphisms as invariants for local quantum field theories

Luca Giorgetti, Karl-Henning Rehren
December 07, 2015
open access link Commun. Math. Phys. 357 (2018) 3-41

Modular nuclearity: A generally covariant perspective

Gandalf Lechner, Ko Sanders
November 29, 2015
modular nuclearity, General local covariance, free field theory, modular theory
open access link Axioms 2016, 5(1), 5

Abelian duality on globally hyperbolic spacetimes

Christian Becker, Marco Benini, Alexander Schenkel, Richard J. Szabo
November 01, 2015
differential cohomology, Abelian gauge theory, Abelian duality, Dirac charge quantization, self-dual Abelian gauge fields
open access link doi:10.1007/s00220-016-2669-9

Electromagnetism in terms of quantum measurements

Andreas Andersson
September 16, 2015
open access link J. Math. Phys. 57(7), 122104 (2016)

Loop groups and noncommutative geometry

Sebastiano Carpi, Robin Hillier
September 09, 2015
open access link Reviews in Mathemayical Physics 29, 1750029 (2017) [42 pages]

Mathematical Foundations of Quantum Mechanics: An Advanced Short Course

Valter Moretti
August 27, 2015
quantum mechanics, spectral theory, von Neumann algebras, superselection rules, group representaton
open access link Int. J. Geom. Methods Mod. Phys. Vol. 13 (2016) 1630011 (103 pages)

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