Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in 4-Theory
نویسندگان
چکیده
Related Articles Global existence for small initial data in the Born–Infeld equations J. Math. Phys. 44, 6132 (2003) Classical four-vector fields in the relativistic longitudinal gauge J. Math. Phys. 41, 4622 (2000) Transfer matrices for scalar fields on curved spaces J. Math. Phys. 40, 1400 (1999) Diffeomorphism invariant integrable field theories and hypersurface motions in Riemannian manifolds J. Math. Phys. 39, 683 (1998) Integration of the Einstein–Dirac equations J. Math. Phys. 37, 5599 (1996)
منابع مشابه
Bosonic loop diagrams as perturbative solutions of the classical field equations in φ-theory
Solutions of the classical φ-theory in Minkowski space-time are analyzed in a perturbation expansion in the nonlinearity. Using the language of Feynman diagrams, the solution of the Cauchy problem is expressed in terms of tree diagrams which involve the retarded Green’s function and have one outgoing leg. In order to obtain general tree diagrams, we set up a “classical measurement process” in w...
متن کاملPerturbative Quantum Field Theory in the Framework of the Fermionic Projector
We give a microscopic derivation of perturbative quantum field theory, taking causal fermion systems and the framework of the fermionic projector as the starting point. The resulting quantum field theory agrees with standard quantum field theory on the tree level and reproduces all bosonic loop diagrams. The fermion loops are described in a different formalism in which no ultraviolet divergence...
متن کاملX iv : h ep - t h / 98 05 15 0 v 1 2 2 M ay 1 99 8 Unambiguous One - Loop Quantum Energies of 1 + 1 Dimensional Bosonic Field Configurations
We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical field configuration, which need not be a solution of the classical field equations. We unambiguously implement standard perturbative renormalization using phase shifts and the Born approximation. We illustrate our...
متن کاملUnambiguous One-Loop Quantum Energies of 1+1 Dimensional Bosonic Field Configurations
We calculate one-loop quantum energies in a renormalizable selfinteracting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical field configuration, which need not be a solution of the classical field equations. We unambiguously implement standard perturbative renormalization using phase shifts and the Born approximation. We illustrate our ...
متن کاملQuantization of classical singular solutions in Yang-Mills theory
In this paper we apply a variant of Heisenberg’s quantization method for strongly interacting, non-linear fields, to solutions of the classical Yang-Mills field equations which have bad asymptotic behavior. After quantization we find that the bad features (i.e. divergent fields and energy densities) of these solutions are moderated. From these results we argue that in general the n-point Green’...
متن کامل