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Quantum scars in quantum field theory
Physical Review D, 2023 We develop the theory of quantum scars for quantum fields. By generalizing the formalisms of Heller and Bogomolny from few-body quantum mechanics to quantum fields, we find that unstable periodic classical solutions of the field equations imprint themselves in a precise manner on bands of energy eigenfunctions.
Jordan Cotler, Annie Y. Wei
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QUANTUM FIELD THEORY IN GRAPHENE [PDF]
International Journal of Modern Physics: Conference Series, 2012 This is a short non-technical introduction to applications of the Quantum Field Theory methods to graphene. We derive the Dirac model from the tight binding model and describe calculations of the polarization operator (conductivity). Later on, we use this quantity to describe the Quantum Hall Effect, light absorption by graphene, the Faraday effect ...
Fialkovsky, I. V., Vassilevich, D. V.
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Quantum Algorithms for Quantum Field Theories [PDF]
Science, 2012 Quantum Leap? Quantum computers are expected to be able to solve some of the most difficult problems in mathematics and physics. It is not known, however, whether quantum field theories (QFTs) can be simulated efficiently with a quantum computer.
Jordan, Stephen P. +2 more
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International Journal of Modern Physics A, 2005 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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Quasirenormalizable Quantum Field Theories [PDF]
Theoretical and Mathematical Physics, 2019 21 pages, 2 ...
Polyakov, M. V. +3 more
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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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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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Universe, 2023 This Special Issue on quantum field theory presents work covering a wide and topical range of subjects mainly within the area of interacting 4D quantum field theories subject to certain backgrounds [...]
Ralf Hofmann
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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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