Scattering process predicted by Topological Dipole Field Theory

After publishing research paper on Topological Dipole field theory, German physicist Patrick Linker from TU Darmstadt has again published a paper on scattering process which is predicted by his theory on Topological Dipole field theory.

The Standard model of particle physics is successful in the description of many scattering processes in
nature. There are also phenomena in nature like the Baryon asymmetry that are based on scattering processes which cannot be described by the Standard model. His work on Topological Dipole field theory treats simple scattering process which is predicted by Topological Dipole Field Theory. These scattering processes have their origin in additional interactions between gauge bosons.

quantumDespite the large progresses in theoretical and experimental physics there are still a couple of phenomena which cannot be described by modern and well-established theories. Such phenomena require an extension of well-known physical models. An example of such an extension is given in his paper: the Supersymmetric Standard Model . Since the Standard model doesn’t include gravitational interactions, Quantum Gravity models were proposed. A recent extension of the Standard model is his work on Topological Dipole Field Theory (TDFT) which assumes that gauge bosons couple to an intrinsic dipole moment. This theory adds a 2-form field to the ordinary 2-form gauge field strength where is an additional degree of freedom, is the gauge connection and is the gauge coupling constant. The field is an observable of a Witten-type topological quantum field theory. TDFT is originally based on Čech cohomology and can be formulated with a Lagrangian density that is independent on the choice of the topological bases that generate the Čech cohomology. The Lagrangian density of TDFT depends on the 2-form fields and and also on a Lagrange multiplier where it is integrated over all possible real-valued fields and . The 4-form topological Lagrangian density has the form:

L = tr(bB’ ^ W + lamda*W^W)

Here, b is the coupling constant for the coupling to the topological dipole. The Lagrangian generates a Lorentz-invariant and real-valued action. If the action is dimensionless and lengths or times have dimension 1 the 2-form fields and must have dimension -2, while and are dimensionless.

An example of an unsolved problem in physics is the Baryon asymmetry. Baryon asymmetry means that number of baryons is higher than the number of antibaryons in the universe. Another unsolved problem in physics is the origin of dark energy . The fluctuations in dark energy are much stronger than the Standard model of particle physics is predicting. These phenomena can be described by TDFT more precisely since there are additional terms involved that modify the dynamics of some scattering processes. Moreover, phenomena related with dark energy and the creation of particles and antiparticles depends strongly on the dynamics of gauge bosons.

In his research paper it is shown how to calculate scattering processes that arise from these additional terms of TDFT. From the structure of the Lagrangian density he showed how Feynman rules for scattering with intrinsic topological dipoles are constructed. Also expectation values of topological dipole correlations are also computed. After he treated basic Feynman rules, a transition probability per time is computed for a simple scattering process. This scattering process is a modified propagation of a gauge boson within a short time. After the calculation of the transition amplitude, the computational results are discussed with respect to baryon asymmetry and dark energy.

He argues that his theory makes sense because bosons that undergo stochastic noise in small time scales can explain why dark energy fluctuations are much higher than the Standard model of particle physics predict. It also makes sense that the highest amount of dark energy was present a few Planck times after the Big Bang since fluctuations predicted by TDFT were very significant. Baryon asymmetry arises from the high fluctuations in energy and momentum during this time period. The high-energy regions tend more to particle-antiparticle creation than the low-energy regions.