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Asymptotic Fields in Some Models of Quantum Field Theory. I
Journal of Mathematical Physics, 1968A quantum field with nonlocal interaction is considered. We prove under a proper smoothness condition on the interaction that the asymptotic limits of the annihilation-creation operators exist. The asymptotic limits are then used to prove that the state space decomposes as a tensor product of an incoming (outgoing) Fock space and a zero-particle space.
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Quantum Completely Integrable Models in Field Theory
1995This paper reviews the first state of the quantum version of the inverse scattering transform (QIST) method to investigate a special class of two- dimensional models in quantum field theory and statistical physics. In the first section the main aspects of the classical IST method is explained using examples of the sine-Gordon equation, nonlinear ...
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A nonperturbative stability theory of quantum field theory models
Annals of Physics, 1985A nonperturbative method of analysis of the stability problem of quantum field theory models is proposed. The method consists in the systematic analysis of the functional dependence on boson field B of the effective boson Lagrangian S/sup eff/(B) consisting of the fermion term S/sup F//sub 1/(B), constraint term S/sup F//sup P//sub 1/(B) and the boson ...
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Nonperturbative stability analysis of quantum-field-theory models
Physical Review D, 1989A nonperturbative method of analysis of the stability problem of field-theory models is proposed. The method consists in the investigation of the convergence of the functional integral representing the partition function of the theory with rescaled boson fields.
, Broda, , Raczka
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Nonlinear model in quantum field theory
Acta Physica Academiae Scientiarum Hungaricae, 1968The mass spectrum of a nonlinear real scalar field was sought for using Ritz’s variational method. In the case of suitable renormalization 1, 2 or 3 finite values of rest mass were found. The different types of these excitations belong to different inequivalent representations of the field operators.
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Quantum Field Theory and the Standard Model
2013Providing a comprehensive introduction to quantum field theory, this textbook covers the development of particle physics from its foundations to the discovery of the Higgs boson. Its combination of clear physical explanations, with direct connections to experimental data, and mathematical rigor make the subject accessible to students with a wide ...
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Mechanical Model for Quantum Field Theory
Journal of Mathematical Physics, 1963We consider two harmonic oscillators, coupled during a finite time. Initial and final states can be defined unambiguously, and if the duration of the coupling is sufficiently short, the S matrix can be computed explicitly. The coupling gx2y is investigated in detail, for complex values of g.
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Two-Dimensional Integrable Models in Quantum Field Theory
Physica Scripta, 1981Summary: We review recent work on the quantization of a wide spectrum of completely integrable two-dimensional field theories.
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INTEGRABLE MODELS OF FIELD THEORY AND SCATTERING ON QUANTUM HYPERBOLOIDS
Modern Physics Letters A, 1992We consider the scattering of two dressed excitations in the antiferromagnetic XXZ spin-1/2 chain and show that it is equivalent to the S-wave scattering problem for a free particle on the certain quantum symmetric space “quantum hyperboloid” related to the non-compact quantum group SU q (1, 1).
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