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Reviews of Modern Physics, 1998 I discuss the general principles underlying quantum field theory, and attempt to identify its most profound consequences. The deepest of these consequences result from the infinite number of degrees of freedom invoked to implement locality.
Wilczek, Frank
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Quantum Field Theory on Quantum Spacetime [PDF]
Journal of Physics: Conference Series, 2006 Condensed account of the Lectures delivered at the Meeting on {\it Noncommutative Geometry in Field and String Theory}, Corfu, September 18 - 20, 2005.Comment: 10 ...
Araki H +14 more
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Constructive Quantum Field Theory [PDF]
, 2005 A review of the renormalization group approach to the proof of non perturbative ultraviolet stability in scalar field theories in dimension d=2,3.Comment: Plain ...
Aizenman +25 more
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Relative quantum field theory [PDF]
Communications in Mathematical Physics, 2014 We highlight the general notion of a relative quantum field theory, which occurs in several contexts. One is in gauge theory based on a compact Lie algebra, rather than a compact Lie group.
Freed, Daniel S., Teleman, Constantin
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Braided Quantum Field Theory [PDF]
Communications in Mathematical Physics, 1999 We develop a general framework for quantum field theory on noncommutative spaces, i.e., spaces with quantum group symmetry. We use the path integral approach to obtain expressions for $n$-point functions.
Oeckl, Robert
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From euclidean field theory to quantum field theory [PDF]
Reviews in Mathematical Physics, 1997 In order to construct examples for interacting quantum field theory models, the methods of euclidean field theory turned out to be powerful tools since they make use of the techniques of classical statistical mechanics. Starting from an appropriate set
Dirk Schlingemann, Universität Hamburg
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Renormalization and quantum field theory [PDF]
Algebra & Number Theory, 2010 The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian. We first define renormalizations and Feynman measures, and show that although there need not exist a ...
Abe +9 more
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Potential in Quantum Field Theory [PDF]
Progress of Theoretical Physics, 1954 Tsutomu Imamura
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Review on Quantum Computing for Lattice Field Theory [PDF]
Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022), 2023 In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte
L. Funcke +3 more
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Lectures on entanglement in quantum field theory [PDF]
Proceedings of Theoretical Advanced Study Institute 2021 — PoS(TASI2021), 2022 These notes grew from a series of lectures given by the authors during the last decade. They will be published in the proceedings of TASI 2021. After a brief introduction to quantum information theory tools, they are organized in four chapters covering ...
H. Casini, M. Huerta
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