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Topological field theories and integrable models
Journal of Mathematical Physics, 1997We show that the classical non-Abelian pure Chern–Simons action is related to nonrelativistic models in (2+1) dimensions, via reductions of the gauge connection in Hermitian symmetric spaces. In such models the matter fields are coupled to gauge Chern–Simons fields, associated with the isotropy subgroup of the considered symmetric space.
MARTINA, Luigi +2 more
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Functional integration in quantum field theory [PDF]
The problem of constructing explicit definitions for the vacuum expectation values of time ordered products of field operators as functional integrals is discussed with particular reference to systems in which the Fermi fields are involved bilinearly in the Lagrange function.
A. H. de Borde, W. K. Burton
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Path Integrals in Field Theory [PDF]
Up 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
Joachim Reinhardt, Walter Greiner
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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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On functional integrals in quantum field theory
Reports on Mathematical Physics, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O Zakharov, Gennadi Sardanashvily
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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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Field theories for multiple integrals
Journal of Mathematical Sciences, 2011New constructions of fields of extremals for multiple integrals and new versions of the Legendre–Weyl–Caratheodory transform are introduced. The connection and the curvature of fiber bundles on which multiple integrals are defined are calculated.
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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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