This work presents a unified operator framework for quantum field theory based on a generalized relativistic wave differential operator defined on Minkowski space. Through the systematic selection of discrete parameters α, β, λ, m, and n ∈ N, this operator reproduces fundamental cases such as the Klein-Gordon, Dirac, and non-monogenic operators, revealing deep algebraic connections between seemingly disparate field theories.
We introduce a quantum field tensor constructed from scalar, spinor, and gauge fields, where binary indices act as activation signatures. This tensor product structure naturally generates all possible field combinations and their couplings, providing a first-principles derivation of interaction terms beyond the traditional Lagrangian formulation.
The framework is systematically extended to incorporate gauge interactions through a generalized minimal coupling prescription, yielding gauge-covariant operators that reproduce fundamental equations such as Proca and Maxwell. The formalism elegantly unifies gauge self-interactions, matter couplings, and free propagation within a single coherent equation, opening new avenues for exploring higher-spin fields and extensions beyond the Standard Model.
This paper extends the Schrödinger quantum field—a wave function treated as a fundamental quantum field describing particle states and probabilities—to a fully relativistic framework within Parametrized Relativistic Quantum Theory (PRQT). A hallmark of parametrized theories is the use of an invariant evolution paramete...
J. Fanchi· American Journal of Physics· 0 citations
In a recent work \cite{Shaikh:2026nsi}, it was shown that for a non-relativistic particle, the operator equations of motion can be cast in the same differential form as Newton's equation of motion. This establishes a correspondence between quantum operator dynamics and classical mechanics at the level of the equations...
We develop a framework in which quantum field equations are reconstructed from a multi-branch Hamilton–Jacobi structure supplemented by density functionals on configuration space. Each branch is defined by a solution of a functional Hamilton–Jacobi equation, while the associated density encodes measure-theoretic and dy...
Quantum field theory on curved and non-inertial backgrounds contains background- and foliation-dependent quantities in the canonical Lagrangian, the hypersurface inner product and bilinear form, as well as in the equal-time anti-commutation relations. In this work, we determine a local fermion-field redefinition that b...
Fabio Di Pumpo, Tobias Asano, Alexander Friedrich et al.· 0 citations
This graduate-level book is a coherent and self-contained introduction to quantum field theory (QFT), with a distinctive focus on geometric and nonperturbative aspects. The opening part covers quantum fields and the Euclidean path integral, Yang–Mills field theories, and Wilsonian renormalization. Wilson's notion of th...
We investigate the problem of confinement of massive ghost, which violates the unitarity of the physical S-matrix, in quadratic gravity on the basis of a manifestly covariant and local canonical operator formalism. First, we reconsider the manifestly covariant quantization of quadratic gravity in the de Donder gauge (t...
Ichiro Oda· 0 citations
We use cookies to run the site and, with your consent, for analytics and to show ads.
See our Cookie Policy.
