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Topological quantum field theory

Publications Mathématiques de l'IHÉS, 1988
The starting point to topological quantum field theory was given by \textit{E. Witten} [J. Differ. Geom. 17, 661-692 (1982; Zbl 0499.53056)] where he explained the geometric meaning of super-symmetry, pointing out that for super-symmetric quantum mechanics the Hamiltonian is just the Hodge- Laplacian.
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Postulates of Quantum Field Theory

Journal of Mathematical Physics, 1962
We give a survey of the postulates which provide the framework of quantum field theory. Particular attention is given to the lesser known ones, namely, completeness requirements and ``primitive causality.'' Three field theoretical models are analyzed. These examples show that ``primitive causality'' is not a consequence of the commonly used postulates (
Haag, Rudolf, Schroer, B.
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On the Approximation of Quantum Field Theories

Journal of Mathematical Physics, 1965
We assume that the Wightman distributions are tempered and that they are boundary values of functions analytic in the forward tube. Under these conditions a sequence of such distributions may converge in Borchers' topology. The necessary and sufficient conditions for such convergence are spelled out in terms of the corresponding analytic functions. The
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Quantum field theory of anyons

Letters in Mathematical Physics, 1988
Particles with arbitrary real spin (neither integer nor half-integer) whose statistics are intermediate between Bose and Fermi statistics are called ``anyons''. Anyons can occur in gauge theories, and the authors expect that they can only occur in gauge theories, or in theories with a hidden local gauge invariance.
J. Froehlich, MARCHETTI, PIERALBERTO
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A Quantum Field Theory of Gravity

2018
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Reuter, M, Saueressig, F.S.
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Quantum Field Theory and Cosmology

1982
Experimental evidence points with ever increasing confidence towards an evolutionary cosmology. The standard framework used to confront this circumstance is the “hot big bang” theory: an initial classical singularity, possibly smeared by unknown quantum effects, produces a thermal distribution of the quanta of the matter field at a temperature close to
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Tensor Lattice Field Theory for Renormalization and Quantum Computing

Reviews of Modern Physics, 2022
Judah Unmuth-Yockey   +2 more
exaly  

A Detector-Based Measurement Theory for Quantum Field Theory

Physical Review D, 2022
Eduardo Martin-Martinez   +2 more
exaly  

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