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Renormalization of a model quantum field theory
American Journal of Physics, 1992Renormalization is the technique used to eliminate infinities that arise in quantum field theory. This paper shows how to renormalize a particularly simple model, in which a single mass counterterm of second order in the coupling constant suffices to cancel all divergences.
Per Kraus, David J. Griffiths
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Scattering theory in a model of quantum fields. I
Journal of Mathematical Physics, 1973We study a model of quantum field theory with ``Yukawa-like'' interaction λ∫Φb+(x)Φb−(x)Φa(x)d x between nucleons (b) and mesons (a). It is a version of Nelson's model with relativistic kinematics and has been renormalized by J. P. Eckmann. The infinite mass renormalization is a power series in λ2, chosen in such a way as to confer on the renormalized ...
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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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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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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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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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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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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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