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On Quantum Field Theory. I: Quantum Field Theory as Quantum Mechanics [PDF]
Progress of Theoretical Physics, 1974 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.
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Nonequilibrium Quantum Field Theory [PDF]
, 2009 Bringing together the key ideas from nonequilibrium statistical mechanics and powerful methodology from quantum field theory, this 2008 book captures the essence of nonequilibrium quantum field theory.
Calzetta, Esteban A., Hu, Bei-Lok B.
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Computation, 2016 An extremely interesting problem in aero-hydrodynamics is the sound radiation of a single vortical structure. Currently, this type of problem is mainly considered for an incompressible medium. In this paper a method was developed to take into account the
Tatiana Petrova, Fedor Shugaev
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QUATERNIONIC QUANTUM FIELD THEORY [PDF]
Physical Review Letters, 1985 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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PERTURBATIVE QUANTUM FIELD THEORY [PDF]
Challenges for the 21st Century, 2001 This talk introduces perturbative quantum field on a heuristic level. It is directed at an audience familiar with elements of quantum mechanics, but not necessarily with high energy physics. It includes a discussion of the strategies behind experimental tests of fundamental theories, and of the field theory interpretations of these tests.
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Quantum theory of noncommutative fields [PDF]
Journal of High Energy Physics, 2003 Generalizing the noncommutative harmonic oscillator construction, we propose a new extension of quantum field theory based on the concept of "noncommutative fields". Our description permits to break the usual particle-antiparticle degeneracy at the dispersion relation level and introduces naturally an ultraviolet and an infrared cutoff ...
Carmona, José Manuel +3 more
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Coulomb Problem for Classical Spinning Particles
Universe, 2023 We consider the motion of a weakly relativistic charged particle with an arbitrary spin in central potential e/r in terms of classical mechanics. We show that the spin–orbital interaction causes the precession of the plane of orbit around the vector of ...
Dmitry S. Kaparulin +1 more
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QUANTUM GROUPS AND FIELD THEORY [PDF]
Modern Physics Letters A, 2000 When the symmetry of a physical theory describing a finite system is deformed by replacing its Lie group by the corresponding quantum group, the operators and state function will lie in a new algebra describing new degrees of freedom. If the symmetry of a field theory is deformed in this way, the enlarged state space will again describe additional ...
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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. This is relevant to the maximal superconformal theory in six dimensions.
Freed, Daniel S, Teleman, Constantin
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QUANTUM THEORY AND GALOIS FIELDS [PDF]
International Journal of Modern Physics B, 2006 We discuss the motivation and main results of a quantum theory over a Galois field (GFQT). The goal of the paper is to describe main ideas of GFQT in a simplest possible way and to give clear and simple arguments that GFQT is a more natural quantum theory than the standard one.
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