Topological Dipole Field Theory

Topological Dipole Field Theory is a topological quantum field theory that modifies the dynamics of gauge bosons. It proposes that gauge bosons carry an intrinsic dipole moment which is governed by topological circumstances.^[1] This modification is inspired by intrinsic dipole moments in elementary particles that are proposed in research literature.^[2]

Predictions

General predictions

This theory is a slight extension of the Standard model of particle physics.^[3] This extension allows a modified behavior of quantum fluctuations, i.e. dynamics of quantum fluctuations are different from the predictions of the Standard model. With these modifications some unsolved problems in physics can be explained. For example, the Baryon asymmetry arises from fluctuations in energy densities that are predicted by Topological Dipole Field Theory. Moreover, additional self-interactions between bosons are obtained when scattering amplitudes are computed with Topological Dipole Field Theory; even in abelian gauge theories.

Numerical results

A quantum electrodynamics computation with Topological Dipole Field Theory corrections was performed in the case of a monochromatic gamma ray.^[4] A gamma ray propagating in vacuum would slightly fluctuate in its frequency spectrum.

Mathematical details

Topological Dipole Field Theory relies on the extension of the 2-form field strength tensor $F$ by a new 2-form field $B'$ . More precisely it holds

$F = dA+ A \wedge A + B'$

in the case of a non-abelian Yang-Mills theory. A Witten-type topological quantum field theory is constructed in terms of observables $B'$ . It can be shown that the Lagrangian density of such a topological quantum field theory is given by

$L= B \wedge \delta B + \lambda \delta B \wedge \delta B$

with a general 2-form field $B$ , a Lagrange multiplier $\lambda$ and the Čech cohomology coboundary map $\delta$ . The quantum field theory is independent on the values of $B$ , while $B'$ lies in Čech cohomology class.

References

↑ P. Linker (2015). "Topological Dipole Field Theory". The Winnower 3: e144311.19292. doi:10.15200/winn.144311.19292.
↑ The ACME Collaboration; et al. (17 January 2014). "Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron". Science 343 (269): 269–72. doi:10.1126/science.1248213.
↑ P. Linker (2015). "Nonabelian generalization of Topological Dipole Field Theory". The Winnower 3: e144564.43935. doi:10.15200/winn.144564.43935.
↑ P. Linker (2015). "A numerical computation with Topological Dipole Field Theory". The Winnower 3: e145087.75619. doi:10.15200/winn.145087.75619.

External links

http://revoscience.com/en/topological-dipole-field-theory-becomes-more-notable/

Quantum field theories

Standard	Chern–Simons model Chiral model Kondo model Conformal field theory Noncommutative quantum field theory Non-linear sigma model Quartic interaction Quantum chromodynamics Quantum electrodynamics Quantum Yang–Mills theory Schwinger model sine-Gordon Standard Model String theory Toda field theory Topological quantum field theory Wess–Zumino model Wess–Zumino–Witten model Yang–Mills theory Yang–Mills–Higgs model Yukawa model Thirring–Wess model Topological Dipole Field Theory

Four-fermion interactions	Thirring model Gross–Neveu model Nambu–Jona-Lasinio model

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