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Locally covariant quantum field theory with external sources [PDF]
We provide a detailed analysis of the classical and quantized theory of a multiplet of inhomogeneous Klein-Gordon fields, which couple to the spacetime metric and also to an external source term; thus the solutions form an affine space.
Fewster, Christopher J.+1 more
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On Quantum Field Theory. I: Quantum Field Theory as Quantum Mechanics [PDF]
Summary: A new approach to finding a steady foundation of quantum field theory is investigated with the help of the so-called nonstandard mathematics. We construct a model of the quantum field theory as a quantum-mechanical system with very many degrees of freedom.
openaire +2 more sources
Quantum Field Theory of Fluids [PDF]
5 pages, 2 figures and 1 table. v2: Added references.
Gripaios, Ben, Sutherland, Dave
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Quantum Gravity as Topological Quantum Field Theory [PDF]
The physics of quantum gravity is discussed within the framework of topological quantum field theory. Some of the principles are illustrated with examples taken from theories in which space-time is three dimensional.Comment: 23 pages, amstex, JMP special
Barrett, John W.
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The scope of this review is to give a pedagogical introduction to some new calculations and methods developed by the author in the context of quantum groups and their applications. The review is self-contained and serves as a "first aid kit" before one ventures into the beautiful but bewildering landscape of Woronowicz's theory.
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Quaternionic Quantum Field Theory [PDF]
Abstract Up to this point our discussion of relativistic quaternionic wave equations has dealt with the first quantized case, in which the wave fields are quaternions in the right-acting algebra spanned by 1, i,j,k, with c-number-valued real components.
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Simulating quantum field theory with a quantum computer [PDF]
Forthcoming exascale digital computers will further advance our knowledge of quantum chromodynamics, but formidable challenges will remain. In particular, Euclidean Monte Carlo methods are not well suited for studying real-time evolution in hadronic ...
J. Preskill
semanticscholar +1 more source
Toward a Definition of Complexity for Quantum Field Theory States. [PDF]
We investigate notions of complexity of states in continuous many-body quantum systems. We focus on Gaussian states which include ground states of free quantum field theories and their approximations encountered in the context of the continuous version ...
S. Chapman+3 more
semanticscholar +1 more source
A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework [PDF]
A model-independent, locally generally covariant formulation of quantum field theory over four-dimensional, globally hyperbolic spacetimes will be given which generalizes similar, previous approaches.
Verch, Rainer
core +2 more sources