Gluon bremsstrahlung K factors in QCD and supersymmetric QCD

Theoretical and Mathematical Physics -     

Spectrum of composite particles in supersymmetric quantum chromodynamics

The low-energy effective action for mesons and their superpartners is used to derive the mass spectrum of composite particles in the SU_F(3) supersymmetric QCD. A system of equations for determining the masses of scalar and pseudoscalar particles with meson quantum numbers and of the baryon octet J^p=1/2⁺ is derived. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 110, No. 3, pp. 433–442, March, 1997.     

Asymptotic freedom and one-time reduction in quantum chromodynamics

It is shown how the property of asymptotic freedom is manifested in the language of the two-quark interaction quasipotential in quantum chromodynamics.Institute of High Energy Physics. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 90, No. 2, pp. 190–207, February, 1992.     

Nicolai map in supersymmetric quantum mechanics

Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matermaticheskaya Fizika, Vol. 86, No. 1, pp. 74–80, January, 1991.     

On the asymptotic transition to complexity in quantum chromodynamics

Quantum chromodynamics (QCD) is a renormalizable gauge theory that successfully describes the fundamental interaction of quarks and gluons. The rich dynamical content of QCD is manifest, for example, in the spectroscopy of complex hadrons or the emergence of quark–gluon plasma. There is a fair amount of uncertainty regarding the behavior of perturbative QCD in the infrared and far ultraviolet regions. Our work explores these two domains of QCD using non-linear dynamics and complexity theory. We find that local bifurcations of the renormalization flow destabilize asymptotic freedom and induce a steady transition to chaos in the far ultraviolet limit. We also conjecture that, in the infrared region, dissipative non-linearity of the renormalization flow supplies a natural mechanism for confinement.     

Status of effective four-fermion interaction in low-energy quantum chromodynamics

Principles for selecting the four-fermion models as a low-energy approximation of the QCD are formulated for the gauged Nambu-Jona-Lasinio model in the dynamic symmetry breaking regime. On their basis the possibility of intrinsic stabilization at a finite momentum cutoff Λ is considered by means of an effective potential. Within the framework of the approach we study the influence of the gluon condensate on the parameters of the effective chiral Lagrangian at low energies. Bibliography: 8 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 199, 1992, pp. 3–24.     

Infrared divergences and asymptotic quark states in quantum chromodynamics

We show that it is impossible to construct asymptotic free quark states in quantum chromodynamics using the method of asymptotic dynamics. In 1983 Nikita Alexeevich Sveshnikov and myself published a paper [1] about the absence of free quarks in the perturbative quantum chromodynamics (QCD). In that paper, we gave only a sketch of the rigorous proofs of the corresponding statements. We planned to publish a detailed paper on this subject later, but we did not do so. Nikita Alexeevich always sought a very high level of mathematical rigor, and he did achieve it in his published papers. Now, when he has passed away, I am hardly able to present a text whose quality would satisfy his high criteria. Yet I have decided to pblish our old notes, hoping they could be useful to the people working on the infrared divergence problems of the QCD confinement. I must stress that all the ideas of this work belong to Nikita Alexeevich while all the responsibility for deficiencies in the presentation rests with me.A. Yu. Kamenschchik Deceased. Translated from Teoreticheskaya i Matematicheskaya Fizika. Vol. 117, No. 2, pp. 175–188, November, 1998.     

Model of deconfinement phase transition in lattice quantum chromodynamics

Institute of Theoretical Physics, Ukrainian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 80, No. 3, pp. 381–390, September, 1989.