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Divergent Integrals in Renormalizable Field Theories
Physical Review, 1951The proofs of the renormalization of the theories of scalar and pseudoscalar mesons in scalar interaction with nucleons and with the electromagnetic field, given previously by the author, depended on a certain subtraction procedure. A general proof is here given that this subtraction procedure, when applied to a divergent integral in the $S$ matrix of ...
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Path Integrals in Field Theory
1996Up to now we have investigated systems possessing one (q) or several (q α α = 1,...,D) degrees of freedom and studied their quantization using path integrals. In this chapter we will pass over to (relativistic) field theories, starting with the case of a scalar neutral field o(x). When discussing canonical quantization we already noticed that the field
Walter Greiner, Joachim Reinhardt
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Functional integrals in field theory
Soviet Physics Journal, 1990Chronological vacuum mean quantum fields are constructed as states in appropriate commutative tensor algebras, which permits representing their generating functionals as Fourier transforms of measures in spaces of classical fields. These measures belong to a broader class than the functional integrals ordinarily applied in quantum field theory.
O. A. Zakharov, G. A. Sardanashvili
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Field theories for multiple integrals
Journal of Mathematical Sciences, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Integrated Experiment in Field Theory
International Journal of Electrical Engineering & Education, 1989The various means available for the solution of field problems are reviewed and the solutions for a simple problem, that of the fringing field between the pole and armature of an electric machine, obtained using three methods; direct field plotting, Schwartz-Christoffel transformation and finite elements are presented.
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Integrable Quantum Field Theories
1993Quantum Affine Symmetry and Correlation Functions of the XXZ Model T. Miwa. A ThreeDimensional Solvable Model V.V. Bazhanov, R.J. Baxter. Elliptic Parametrization of the Three-State Chiral Potts Model R.J. Baxter. An Introduction to Yangian Symmetries D. Bernard. On the Quantum-Group Description of the Massive Thirring (Sine-Gordon) Model C.
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Integrable Quantum Field Theories
2009Abstract An integrable quantum field theory is characterized by an infinite number of conserved charges. In classical mechanics, the existence of a sufficient number of integrals of motion allows us to pass from the initial coordinates and momenta to the angle-action variables, thus finding the exact solution of the equation of motion by
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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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