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Mongol Physics QFT 2.0
Mongol Physics develops a different approach to Quantum Field Theory which emphasizes the wave picture over that of particles. We aim to develop a suite of open source software, supported by research materials, to open up new avenues towards modeling the structure and interactions of elementary particles. Collaboration and disagreement on the ways and means to this end are encouraged.
The origins of the project may be found in the quiet but steady progress over 80 years in the self-field treatment of gauge-field self-interactions. We can trace the heritage of this approach back to Erwin Schrodinger and his very first (1926) papers on wave mechanics.
In his early work on wave-mechanics, Schrodinger sought to couple the electromagnetic field directly to the charge distribution as determined by the squared-modulus of his wavefunction. The first attempt failed due to the electrostatic repulsion of the resulting self-energy term.
Work over subsequent decades has gradually addressed this, and other problems, through a range of measures that parallel the historical development of regular QED. These include:
- regularization of the electostatic self-potential
- development of computational methods for non-linear PDEs
- re-normalization of the charge and mass using self-fields
- identification of analogues to the traditional QED effects
- treatment of many-body systems and relativistic effects
While the subject is little known in mainstream physics, it has a distinguished group of contributors who explored the proposal at some stage or other. This includes: Fermi, Heisenberg, Dirac, Rosen, Jaynes, Grandy, Coopersmith, Barut, Dowling, Unal, Kibble and Jones, among others. The treatment involves nonlinear wave equations in the Generalized Quantum Dynamics of Kibble, Weinberg and Jones.
The essential difference from traditional QFT is that the concept of the vacuum plays a lesser role than in the traditional second-quantized description of fields and particles. This is because the gauge-field is treated as having no existence independent of material sources.
In a sense, the vacuum in Mongol Physics really is nothing.
It is an approach consistent with the dictum of Einstein that fields do not exist independently of their sources.
However, in place of the traditional vacuum effects, such as vacuum fluctuations and vacuum polarization, we have a corresponding group of self-excitation effects due to the coupling between gauge-fields and their partner current sources. The precise nature of these self-excitation phenomena is a key area of ongoing research and the key scientific motivation for developing computer simulations.
The practical objective of Mongol Physics is to bring QFT 2.0 to a state where it may substitute for the perturbative QED in computations of strong-field, high-energy and many-body domains. Since the approach is inherently non-perturbative achievement of this goal could well revolutionize computational physics. QED serves as our model theory, but we aim to replace it entirely.
While the early research concentrated on theoretical and mathematical questions, this project will emphasize the development of effective computational methods. Our goal is to advance computer simulation methods for calculating bound states and time-dependent relaxation effects of the coupled Maxwell-Dirac and Einstein-Maxwell-Dirac equations, with suitable regularization.
The project is open, but we are particularly interested to engage folks treating quantum chemistry problems via R-DFT, plasma physicists interested in high-conduction plasmas, fusion researchers involved in plasma confinement modelling and high energy physicists.
It is anticipated that the project will interest those workers familiar with Quantum Hydrodynamics and the treatment of Bohmian potentials and similar unconventional interpretations of the wave function. Physical interpretation in QFT 2.0 is different and draws upon these approaches.
A partner website will collect relevant research materials and act as a switchboard for those researchers interested in exploring a different non-perturbative approach to QFT. We especially welcome Electrical Engineers and other experts in Classical Electrodynamics.
K.R.W. Jones, PhD