Special Issue "Selected Topics in Gravity, Field Theory and Quantum Mechanics"
Deadline for manuscript submissions: closed (30 June 2022) | Viewed by 14048
A printed edition of this Special Issue is available here.
Interests: supersymmetry; quantum groups; C*-algebra; multigravity; supermanifold
Quantum field theory has achieved some extraordinary successes over the past sixty years, yet it retains a set of challenging problems. It is not yet able to describe gravity in a mathematically consistent manner. CP violation remains unexplained. Grand unified theories have been eliminated by experiment, and a viable unification model has yet to replace them. Even the highly successful quantum chromodynamics, despite significant computational achievements, struggles to provide theoretical insight into the low-energy regime of quark physics, where the nature and structure of hadrons are determined. The only proposal for resolving the fine-tuning problem, low-energy supersymmetry, has been eliminated by results from the LHC.
However, new ideas are available and approaching maturity. In quantum gravity, for example, naive treatment of metric perturbations such as the gravitational quanta has given way to recognizing the importance of vierbein, with insightful inroads into local quantization of the Poincare group. An approach to unifying gravity with the gauge theories has emerged which is based on braid groups. Covariant techniques for identifying dominant subgroups in gauge theory dynamics have gained recognition, and a generalization of Hamiltonian dynamics offers a fresh way to identify and treat the topological degrees of freedom.
Since mathematics is the true and proper language for quantitative physical models, we expect new mathematical constructions to provide insight into physical phenomena and fresh approaches for building physical theories.
Dr. Steven Duplij
Dr. Michael L. Walker
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- Clairaut equation
- Cho-Duan-Ge decomposition
- constraintless formalism
- polyadic algebraic systems