52 citations · 469 across the 43 of their papers we have counts for
8 papers · 1 filter
Spacetime models, fundamental interactions and noncommutative geometry
Jan Sladkowski
We discuss the problem of determining the spacetime structure. We show that when we are using only topological methods the spacetime can be modelled as an R- or Q-compact space alt…
Exotic smoothness and particle physics
Jan Sladkowski
Short introduction to exotic differential structures on manifolds is given. The possible physical context of this mathematical curiosity is discussed. The topic is very interesting…
Exotic smoothness, noncommutative geometry and particle physics
J. Sladkowski
We investigate how exotic differential structures may reveal themselves in particle physics. The analysis is based on the A. Connes' construction of the standard model. It is shown…
Particle physics from the noncommutative geometry point of view
Jan Sladkowski
Recent development in noncommutative geometry generalization of gauge theory is reviewed. The mathematical apparatus is reduced to minimum in order to allow the non-mathematically…
The Stückelberg formalism is a field-enlarging transformation
J. Sladkowski
It is shown that the Stückelberg formalism can be regarded as a field-enlarging transformation that introduces an additional gauge symmetry to the considered model. The appropriate…
Trace anomaly of the conformal gauge field
Jan Sladkowski
The proposed by Bastianelli and van Nieuwenhuizen new method of calculations of trace anomalies is applied in the conformal gauge field case. The result is then reproduced by the h…
Does noncommutative geometry predict nonlinear Higgs mechanism?
Jan Sladkowski
It is argued that the noncommutative geometry construction of the standard model predicts a nonlinear symmetry breaking mechanism rather than the orthodox Higgs mechanism. Such mod…
Field-enlarging transformations and chiral theories
Jan Sladkowski
A field-enlarging transformation in the chiral electrodynamics is performed. This introduces an additional gauge symmetry to the model that is unitary and anomaly-free and allows f…