Snowmass white paper: The quest to define QFT
M Dedushenko - International Journal of Modern Physics A, 2023 - World Scientific
This paper provides a review of the literature on rigorous definitions and constructions in
quantum field theory (QFT), spanning the period of seven decades. Compared with the …
quantum field theory (QFT), spanning the period of seven decades. Compared with the …
Higher geometry in physics
L Alfonsi - arXiv preprint arXiv:2312.07308, 2023 - arxiv.org
This survey article is an invited contribution to the Encyclopedia of Mathematical Physics,
2nd edition. We provide an accessible overview on relevant applications of higher and …
2nd edition. We provide an accessible overview on relevant applications of higher and …
Causality in Schwinger's picture of Quantum Mechanics
This paper begins the study of the relation between causality and quantum mechanics,
taking advantage of the groupoidal description of quantum mechanical systems inspired by …
taking advantage of the groupoidal description of quantum mechanical systems inspired by …
Lorentzian 2d CFT from the pAQFT perspective
We provide a detailed construction of the quantum theory of the massless scalar field on two-
dimensional, globally hyperbolic (in particular, Lorentzian) manifolds using the framework of …
dimensional, globally hyperbolic (in particular, Lorentzian) manifolds using the framework of …
Operads, homotopy theory and higher categories in algebraic quantum field theory
M Benini, A Schenkel - arXiv preprint arXiv:2305.03372, 2023 - arxiv.org
arXiv:2305.03372v1 [math-ph] 5 May 2023 Page 1 arXiv:2305.03372v1 [math-ph] 5 May
2023 Operads, homotopy theory and higher categories in algebraic quantum field theory …
2023 Operads, homotopy theory and higher categories in algebraic quantum field theory …
Extended Field Theories as higher Kaluza-Klein theories
L Alfonsi - arXiv preprint arXiv:2108.10297, 2021 - arxiv.org
Extended Field Theories include Double Field Theory (DFT) and Exceptional Field Theory,
which are respectively the T-and U-duality covariant formulations of the supergravity limit of …
which are respectively the T-and U-duality covariant formulations of the supergravity limit of …
Haag-Kastler stacks
M Benini, A Grant-Stuart, A Schenkel - arXiv preprint arXiv:2404.14510, 2024 - arxiv.org
This paper provides an alternative implementation of the principle of general local
covariance for algebraic quantum field theories (AQFTs) which is more flexible and powerful …
covariance for algebraic quantum field theories (AQFTs) which is more flexible and powerful …
Derived algebraic geometry of 2d lattice Yang-Mills theory
M Benini, T Fernández, A Schenkel - arXiv preprint arXiv:2409.06873, 2024 - arxiv.org
A derived algebraic geometric study of classical $\mathrm {GL} _n $-Yang-Mills theory on
the $2 $-dimensional square lattice $\mathbb {Z}^ 2$ is presented. The derived critical locus …
the $2 $-dimensional square lattice $\mathbb {Z}^ 2$ is presented. The derived critical locus …
Lorentzian bordisms in algebraic quantum field theory
S Bunk, J MacManus, A Schenkel - arXiv preprint arXiv:2308.01026, 2023 - arxiv.org
It is shown that every algebraic quantum field theory has an underlying functorial field theory
which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This …
which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This …
[PDF][PDF] Quantization of derived cotangent stacks and gauge theory on directed graphs
M Benini, JP Pridham, A Schenkel - arXiv preprint arXiv …, 2022 - researchgate.net
We study the quantization of the canonical unshifted Poisson structure on the derived
cotangent stack T∗[X/G] of a quotient stack, where X is a smooth affine scheme with an …
cotangent stack T∗[X/G] of a quotient stack, where X is a smooth affine scheme with an …