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- Marijan Ribaric, Luka Sustersic
- SIAM Journal of Applied Mathematics
- 1995

- Marijan Ribaric
- 2008

We put forward a finite theory of quantum scattering of fundamental particles without using auxiliary particles. It suggests that to avoid ultraviolet divergencies and model faster-than-light effects it suffices to appropriately change only the free-field Lagrangians while retaining their locality in space-time and Lorentz invariance. Using functions of two… (More)

- Marijan Ribaric
- 2008

Generalizing the ’t Hooft and Veltman method of unitary regulators, we demonstrate for the first time the existence of local, Lorentz-invariant, physically motivated Lagrangians of quantum-electrodynamic phenomena such that: (i) Feynman diagrams are finite and equal the diagrams of QED but with regularized propagators. (ii) N-point Green functions are C-,… (More)

- Marijan Ribaric
- 2000

We consider properties of connected diagrams with fermion-photon interaction and such fermion and photon propagators and vertex function that the values of these diagrams are finite. We establish the properties of these propagators and vertex function that imply that these diagrams are invariant under C, P, T, CP, CT, PT, or CPT transformations up to some… (More)

- Marijan Ribaric
- 2005

We propose a partial answer to the question of what kind of ultrahighenergy physics has to be taken into account to circumvent the appearance of ultraviolet divergencies; a more than sixty years old open question in quantum electrodynamics. To this end we introduce a new theoretical concept to the theory of quantum scattering: Perturbative S-matrices that… (More)

- Marijan Ribaric
- 2008

We consider construction of empirical formulas for predicting new averaged experimental data from a finite number of the old ones so as to point out the relevant technical problems. The main problem is that there is always only a finite number of inaccurate data at our disposal. As an example, we construct empirical formulas for describing Planck’s law in… (More)

- Marijan Ribaric
- 2008

We point out that results obtained by M. Ribarič and L. Šušteršič, hep-th/0403084, and byM. Blasone, P. Jizba and H. Kleinert, quant-ph/0409021, suggest that the path-integral formalism is the key to a derivation of quantum physics from classical, deterministic physics in the four-dimensional space-time. These results and the ’t Hooft conjecture,… (More)

- Marijan Ribaric
- 1997

We propose a new, transport-theoretic (tt) class of relativistic extensions of quantum field theories of fundamental interactions. Its concepts are inspired by Feynman’s atomistic idea about the physical world and by the extension of fluid dynamics to shorter distances through the Boltzmann transport equation. The extending tt Lagrangians imply the original… (More)

- Marijan Ribaric
- 2008

Computing the same perturbative S-matrix in quantum field theory, we may use various regularizations. They are all provisional in the sense that no trace of them is left in the final result. So they can provide no information about the physics of quantum scattering. We propose a new approach to the construction of the perturbative S-matrices. To this end we… (More)

- Marijan Ribaric
- 2001

Using the path-integral formalism, we generalize the ’t HooftVeltman method of unitary regulators to obtain a framework for finite alternative quantum theories to a given quantum field theory. Feynman-like rules of such a finite alternative quantum theory lead to regularized perturbative expansions of the original Green functions, which are causal, and… (More)