Renormdynamics, multiparticle production, negative binomial distribution, and Riemann zeta function

Makhaldiani, Nugzar

doi:10.1134/s1063778813080206

Cited by 5 publications

(4 citation statements)

References 11 publications

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“…From the relations (5.13), in the critical dimenshion (β 1 = 0), we find that, we can define the minimal form of the RD equationȦ We can solve (5.15) as implicit function, u β 3 /β 2 e −u = ce β 2 t , u = 1 A + β 3 β 2 (5.16) then, as in the noncritical case, explicit solution will be given by reparametrization representation (5.11) [Makhaldiani, 2013]. If we know somehow the coefficients β n , e.g.…”

Section: Reparametrization and General Methods Of Solution Of The Rd Ementioning

confidence: 99%

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Hadronization and solvable models of renormdynamics of QCD

Makhaldiani¹

2015

Proceedings of XXII International Baldin Seminar on High Energy Physics Problems — PoS(Baldin ISHEPP XXII)

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Section: Reparametrization and General Methods Of Solution Of The Rd Ementioning

confidence: 99%

“…We can start from the unified value of the coupling constant, e.g. α −1 (M) = 29.0... at the scale of unification M, put the aim to reach the SM scale with values of the coupling constants measured in experiments, and find optimal threshold corrections to the RD coefficients [Makhaldiani, 2010].…”

Section: Hamiltonian Extension Of the Renormdynamicsmentioning

confidence: 99%

Hadronization and solvable models of renormdynamics of QCD

Makhaldiani¹

2015

Proceedings of XXII International Baldin Seminar on High Energy Physics Problems — PoS(Baldin ISHEPP XXII)

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“…then, as in the noncritical case, explicit solution for a will be given by reparametrization representation (15) [9]. If we know somehow the coefficients β n , e.g.…”

Section: Reparametrization and Solution Of The Rd Equationmentioning

confidence: 99%

Renormdynamics, unified field theories and universal distributions of the multipartical production processes

Makhaldiani

2014

Phys. Part. Nuclei Lett.

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“…From dimensional considerations [5], the following combination of cross sections [6] must be universal function…”

Section: Hadronizationmentioning

confidence: 99%

Renormdynamics and Hadronization

Makhaldiani

2016

J. Phys.: Conf. Ser.

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Abstract. Independently radiating valence quarks and corresponding negative binomial distribution presents phenomenologically preferable mechanism of hadronization in multiparticle production processes. Main properties of the renormdynamics, corresponding motion equations and their solutions are considered. RenormdynamicsWe say that we find New Physics (NP) when either we find a phenomenon which is forbidden by SM in principal -this is the qualitative level of NP -or we find significant deviation between precision calculations in SM of an observable quantity and corresponding experimental value. Renordynamics (RD) unifies different renormgroups in one society. Quantum field theory (QFT) and Fractal calculus (FC) provide Universal language of fundamental physics (see e.g. [1]). In QFT existence of a given theory means, that we can control its behavior at some scales (short or large distances) by renormalization theory [2]. If the theory exists, than we want to solve it, which means to determine what happens on other (large or short) scales. This is the problem (and content) of Renormdynamics. The result of the Renormdynamics, the solution of its discrete or continual motion equations, is the effective QFT on a given scale (different from the initial one). We will call RDF functions g n = f n (t), which are solutions of the RD motion equationsġIn the simplest case of one coupling constant, the function g = f (t), is constant g = g c when β(g c ) = 0, or is invertible (monotone). Indeed,Each monotone interval ends by UV and IR fixed points and describes corresponding phase of the system. Note that, the simplest case of the classical dynamics, the Hamiltonian system with one degree of freedom, is already two dimensional, so we have not an analog of one charge renormdynamics. Then the regular Hamiltonian systems of the classical mechanics are defined on the even dimensional phase space, so there is not an analog of the three dimensional renormdynamics for the coupling constants of the SM. The fixed points of renormdynamics belong to the set of zeros of the polynomial system of equations β n (g) = 0, 1 ≤ n ≤ N, in the perturbative renormdynamics. Describing qualitative and numerical properties of the set,

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Renormdynamics, multiparticle production, negative binomial distribution, and Riemann zeta function

Cited by 5 publications

References 11 publications

Hadronization and solvable models of renormdynamics of QCD

Hadronization and solvable models of renormdynamics of QCD

Renormdynamics, unified field theories and universal distributions of the multipartical production processes

Renormdynamics and Hadronization

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