Hamiltonian Function in Quantum Field Theories
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: closed (31 July 2023) | Viewed by 1935
Special Issue Editor
Special Issue Information
Dear Colleagues,
These days, quantum field theories are becoming increasingly important, both from a fundamental point of view and a practical one. These theories provide powerful methods and tools that can be successfully applied in many branches of mathematics and theoretical physics. Most unresolved problems in physics, including quantum gravity, black holes, quark confinement, dark matter and dark energy, are expected to be described in terms of a quantum field theory (QFT), which, in a broad sense, may also include string, branes or m-theories. One of the central ideas in QFT is the Hamiltonian function, which can be approached either by operatorial or functional techniques. In fact, a specific Hamiltonian function can characterize a quantum system in many aspects, providing, for instance, its dynamical time evolution, being related to energies of the system, and providing clues about the system behaviour in terms of its symmetries. For this Special Issue, we invite contributions concerning the Hamiltonian function in quantum field theories from working researchers in mathematics, theoretical physics, applied mathematics and physics and related areas, with the aims of joining efforts from different perspectives to enhance knowledge in this field. Research articles addressing open problems as well as reviews on related topics will be considered.
Dr. Ronaldo Thibes
Guest Editor
Manuscript Submission Information
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Keywords
- hamiltonian function
- quantum field theory
- quantization
- quantum symmetries
- functional quantization
- canonical quantization
- gauge symmetry
- BRST symmetry
- hermicity
- self-adjoint operators
