New Trends in Constrained Dynamical Systems Approaches in Field Theory, Quantization and Gauge Symmetries
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".
Deadline for manuscript submissions: 31 December 2026 | Viewed by 101
Special Issue Editor
Interests: Hamiltonian function; quantum field theory; quantum symmetries
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Since Dirac and Bergmann laid the initial foundations for the evolution of singular dynamical systems, regarding their constraint structure and proper classification, the application of that machinery to quantum field theory, quantum and classical mechanics, gravity theories, and statistical physics has been growing in both number and mathematical consistency. In particular, the connection of constrained systems to gauge invariance and BRST-related symmetries is striking. The sequel appearance and usage of powerful quantization methods such as BRST, BFV, BV, BFFT, gauge-unfixing, and symplectic formalisms have considerably enhanced the predictive capability of new models in response to the current open problems of fundamental physics. In this Special Issue of Symmetry, which gathers researchers with diverse viewpoints and perspectives on these topics, we consider new trends in constrained systems applied to classical and quantum field theories, including modified gravity models and pseudo-classical mechanics, exploring their many aspects and intricacies of symmetry.
Dr. Ronaldo Thibes
Guest Editor
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Keywords
- constrained systems
- Dirac brackets
- Faddeev–Jackiw brackets
- geometric quantization
- quantization methods
- gauge symmetry
- BRST symmetry
- Poisson manifolds
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