Spacetimes Categories and Disjointness for Algebraic Quantum Field Theory

Grant-Stuart, Alastair

doi:10.1007/s00220-022-04530-7

Spacetimes Categories and Disjointness for Algebraic Quantum Field Theory

Journal Article · 21 November 2022 · Communications in Mathematical Physics

DOI:https://doi.org/10.1007/s00220-022-04530-7· OSTI ID:2419916

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OSTI

Not provided.

Research Organization:: Brandeis Univ., Waltham, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0009986; SC0020194

OSTI ID:: 2419916

Journal Information:: Communications in Mathematical Physics, Journal Name: Communications in Mathematical Physics Journal Issue: 2 Vol. 398; ISSN 0010-3616

Publisher:: Springer

Country of Publication:: United States

Language:: English

References (16)

Lorentzian causality theory Minguzzi, E. Living Reviews in Relativity, Vol. 22, Issue 1 https://doi.org/10.1007/s41114-019-0019-x	journal	June 2019
Quantum Field Theories on Categories Fibered in Groupoids Benini, Marco; Schenkel, Alexander Communications in Mathematical Physics, Vol. 356, Issue 1 https://doi.org/10.1007/s00220-017-2986-7	journal	August 2017
Globally hyperbolic spacetimes can be defined as ‘causal’ instead of ‘strongly causal’ Bernal, Antonio N.; Sánchez, Miguel Classical and Quantum Gravity, Vol. 24, Issue 3 https://doi.org/10.1088/0264-9381/24/3/N01	journal	January 2007
Higher Structures in Algebraic Quantum Field Theory Benini, Marco; Schenkel, Alexander Fortschritte der Physik, Vol. 67, Issue 8-9 https://doi.org/10.1002/prop.201910015	journal	May 2019
On Smooth Cauchy Hypersurfaces and Geroch’s Splitting Theorem Bernal, Antonio N.; Sánchez, Miguel Communications in Mathematical Physics, Vol. 243, Issue 3 https://doi.org/10.1007/s00220-003-0982-6	journal	November 2003
The existence of complete Riemannian metrics Nomizu, Katsumi; Ozeki, Hideki Proceedings of the American Mathematical Society, Vol. 12, Issue 6 https://doi.org/10.1090/s0002-9939-1961-0133785-8	journal	January 1961
A Skeletal Model for $$2\hbox {d}$$ Conformal AQFTs Benini, Marco; Giorgetti, Luca; Schenkel, Alexander Communications in Mathematical Physics, Vol. 395, Issue 1 https://doi.org/10.1007/s00220-022-04428-4	journal	August 2022
The Generally Covariant Locality Principle – A New Paradigm for Local Quantum Field Theory Brunetti, Romeo; Fredenhagen, Klaus; Verch, Rainer Communications in Mathematical Physics, Vol. 237, Issue 1 https://doi.org/10.1007/s00220-003-0815-7	journal	June 2003
Algebraic field theory operads and linear quantization Bruinsma, Simen; Schenkel, Alexander Letters in Mathematical Physics, Vol. 109, Issue 11 https://doi.org/10.1007/s11005-019-01195-7	journal	July 2019
Smooth Manifolds Lee, John M. Introduction to Smooth Manifolds https://doi.org/10.1007/978-1-4419-9982-5_1	book	January 2013
Smooth 1-Dimensional Algebraic Quantum Field Theories Benini, Marco; Perin, Marco; Schenkel, Alexander Annales Henri Poincaré, Vol. 23, Issue 6 https://doi.org/10.1007/s00023-021-01132-2	journal	December 2021
Convex neighborhoods for Lipschitz connections and sprays Minguzzi, E. Monatshefte für Mathematik, Vol. 177, Issue 4 https://doi.org/10.1007/s00605-014-0699-y	journal	November 2014
Homotopy theory of algebraic quantum field theories Benini, Marco; Schenkel, Alexander; Woike, Lukas Letters in Mathematical Physics, Vol. 109, Issue 7 https://doi.org/10.1007/s11005-018-01151-x	journal	January 2019
Conformal Generally Covariant Quantum Field Theory: The Scalar Field and its Wick Products Pinamonti, Nicola Communications in Mathematical Physics, Vol. 288, Issue 3 https://doi.org/10.1007/s00220-009-0780-x	journal	March 2009
The Large Scale Structure of Space-Time Hawking, S. W.; Ellis, G. F. R. Cambridge University Press https://doi.org/10.1017/cbo9780511524646	book	January 2010
Operads for algebraic quantum field theory Benini, Marco; Schenkel, Alexander; Woike, Lukas Communications in Contemporary Mathematics, Vol. 23, Issue 02 https://doi.org/10.1142/s0219199720500078	journal	March 2020

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