DivergenceFree Quantum Field Theory by N.S. Baaklini
Complete and Updated Development
The development of divergencefree quantum field theory seems to be a perfectly consistent effectiveaction framework for resolving the outstanding problem of divergences in fundamental relativistic theory, most significantly with regard to quantum gravity. Preliminary brief articles pertaining to this development may be found at the author's public collection: http://www.vixra.org/author/n_s_baaklini. However, complete and updated reports concerning the development of the effective action framework for divergencefree quantum field theory can only be found described on this page, and in the following listing. These reports will be continuously refined, improved, and extended, and the listing may grow with the advent of new applications and results. Interested readers and researchers may obtain current versions of these reports (pdf documents) directly from the author:
nsbqft@aol.com
The following is a list of titles regarding the available reports, with attendant brief descriptions.
Effective Action Framework for DivergenceFree Quantum Field Theory:
This report presents the basic effective action framework for divergencefree quantum field theory; the loopwise perturbative development of the effective action for a generic field theory, and the manner by which this development is defined in order to evade the conventional divergences of Feynman integrals. It gives a much improved and extended version of the article at:
http://www.vixra.org/abs/1312.0056. It gives clear prescriptions for computing contributions in correspondence with ordinary Feynman graphs. It shows the shortest methods of computing divergencefree higherloop Feynman integrals, and the manner of approximating those that cannot be computed exactly.
The DivergenceFree Effective Action for a Scalar Field Theory: This report gives detailed computations and results of the application of the divergencefree framework to a scalar field model with quartic coupling. Effective action contributions up to three loops are computed in detail. It is an improved and extended version of the article at:
http://www.vixra.org/abs/1312.0065.
DivergenceFree Quantum Gravity in a Scalar Model: This report gives detailed application of the divergencefree effective action development to a scalar model with gravitylike, nonpolynomial interactions characterized by a dimensional coupling constant. Computations are carried to the 3loop order. It is detailed and improved version of the article at:
http://www.vixra.org/abs/1604.0115.
DivergenceFree NonLinear Scalar Model: This report gives detailed application of the divergencefree effective action development to a nonlinear scalar model with a dimensional coupling constant. Computations are carried to the 3loop order. It is detailed and improved version of the article at:
http://www.vixra.org/abs/1604.0156.
DivergenceFree Scalar Electrodynamics: This report gives detailed application of the divergencefree effective action development to the theory of scalar electrodynamics, describing the interaction of the electromagnetic photon field with a charged scalar. Computations are carried to the 3loop order. It is detailed and improved version of the article at:
http://www.vixra.org/abs/1604.0341.
The DivergenceFree Effective Action for Quantum Electrodynamics: This report gives detailed computations, up to 3 loops, for the application of divergencefree effective action techniques to quantum electrodynamics (MaxwellDirac theory describing the coupling of a massless spin1 photon to a massive spin1/2 Dirac fermion). It demonstrates the manner by which all contributions are gauge invariant and finite. It is a much improved and extended version of the article at:
http://www.vixra.org/abs/1401.0013.
Framework for the Effective Action of Quantum Gauge and Gravitational Fields: This report gives a simplified framework for constructing the manifestly gaugeinvariant effective action of nonAbelian quantum gauge, and gravitational fields. It gives an improved and extended version of the article at:
http://www.vixra.org/abs/1401.0121.
DivergenceFree Vector Gauge Field Theory: This report applies our divergencefree and manifestly gaugeinvariant effective action framework to a general nonAbelian gauge field theory (massless spin1 particles). Computations up to 3loop are described and completed in great detail.
DivergenceFree Quantum Chromodynamics: This report applies our divergencefree and manifestly gaugeinvariant effective action framework to a systems of SU3 colored gluons (nonAbelian vector gauge fields) and quarks (spin1/2 Dirac fermion fields). Computations up to 3loop are described and completed in great detail.
DivergenceFree Pure Einstein Gravidynamics: This report applies our divergencefree and manifestly gaugeinvariant effective action framework to Einstein's gravitational field theory (described by a background metric and a virtual spin2 graviton). Computations up to 2loop are described and completed in great detail.
DivergenceFree Einstein Gravidynamics Coupled to a Scalar: This report applies our divergencefree and manifestly gaugeinvariant effective action framework to Einstein's gravitational field theory (described by a background metric and a virtual spin2 graviton) coupled to a scalar field (spinless particle). Computations up to 2loop are described and completed in great detail.
DivergenceFree EinsteinMaxwell Gravidynamics: This report applies our divergencefree and manifestly gaugeinvariant effective action framework to Einstein's gravitational field theory (described by a background metric and a virtual spin2 graviton) coupled to a Maxwellian vector field (decribing a spin1 massless photon). Computations up to 2loop are described and completed in great detail.
DivergenceFree EinsteinDirac Gravidynamics: This report applies our divergencefree and manifestly gaugeinvariant effective action framework to Einstein's gravitational field theory (described by a vierbein field and a virtual spin2 graviton) coupled to a spin1/2 fermion (Dirac field). Computations up to 2loop are described and completed in great detail.
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