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35 papers · 1 filter
Two-loop three-point diagrams with irreducible numerators
Natalia I. Ussyukina, Andrei I. Davydychev
We study the problem of calculating two-loop three-point diagrams with irreducible numerators (i.e. numerators which cannot be expressed in terms of the denominators). For the case…
Diagonalizing ''compact'' operators on Hilbert W*-modules
Michael Frank, Vladimir M. Manuilov
For W*-algebras A and self-dual Hilbert A-modules M we show that every self-adjoint, ''compact'' module operator on M is diagonalizable. Some specific properties of the eigenvalues…
Differential Geometry of Composite Fibred Manifolds
G. Sardanashvily
In classical field theory, the composite fibred manifolds Y -> Z -> X provides the adequate mathematical formulation of gauge models with broken symmetries, e.g., the gauge gravita…
Energy-Momentum Conservation Laws in Hamiltonian Field Theory
G. Sardanashvily
In the Lagrangian field theory, one gets different identities for different stress energy-momentum tensors, e.g., canonical energy-momentum tensors. Moreover, these identities are…
Differential Renormalization, the Action Principle and Renormalization Group Calculations
V. A. Smirnov
General prescriptions of differential renormalization are presented. It is shown that renormalization group functions are straightforwardly expressed through some constants that na…
Asymptotic Expansions in Momenta and Masses and Calculation of Feynman Diagrams
V. A. Smirnov
General results on asymptotic expansions of Feynman diagrams in momenta and/or masses are reviewed. It is shown how they are applied for calculation of massive diagrams.