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

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• hamiltonian function
• quantum field theory
• quantization
• quantum symmetries
• functional quantization
• canonical quantization
• gauge symmetry
• BRST symmetry
• hermicity
• self-adjoint operators