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Existence, uniqueness, universality and functoriality of the perfect locality over a Frobenius P-category
Existence functoriality of the perfect locality Frobenius P-category Group Theory
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2012/7/9
Let p be a prime, P a finite p-group and F a Frobenius P-category. The question on the existence of a suitable category L^sc extending the full subcategory of F over the set of F-selfcentralizing subg...
Noncommutative deformations of quantum field theories, locality, and causality
noncommutative quantum field theory Moyal and Wick-Voros star products
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2011/3/3
We investigate noncommutative deformations of quantum field theories for different star products, particularly emphasizing the locality properties and the regularity of the deformed fields.
Lieb-Robinson Bounds and Quasi-locality for the Dynamics of Many-Body Quantum Systems
Lieb-Robinson Bounds Quasi-locality Dynamics Many-Body Quantum Systems
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2010/11/23
We review a recently proven Lieb-Robinson bound for general, many-body quantum systems with bounded interactions. Several basic examples are discussed as well as the connection between commutator esti...
Complex-Time Singularity and Locality Estimates for Quantum Lattice Systems
Complex-Time Singularity Locality Estimates Quantum Lattice Systems
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2010/11/15
We present and prove a well-known locality bound for the complex-time dynamics of a general class of one-dimensional quantum spin systems. Then we discuss how one might hope to extend this same proce...