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 TMF, 2002, Volume 130, Number 2, Pages 179–232 (Mi tmf298)

A Field Theory Description of Constrained Energy-Dissipation Processes

I. D. Mandzhavidzea, A. N. Sisakyanb

a Institute of Physics, Georgian Academy of Sciences
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: We give a field theory description of dissipation processes constrained by a high-symmetry group. The formalism is presented in the example of the multiple-hadron production processes, where the transition to the thermodynamic equilibrium results from the kinetic energy of colliding particles dissipating into hadron masses. The dynamics of these processes are restricted because the constraints responsible for the color charge confinement must be taken into account. We develop a more general $S$-matrix formulation of the thermodynamics of nonequilibrium dissipative processes and find a necessary and sufficient condition for the validity of this description; this condition is similar to the correlation relaxation condition, which, according to Bogoliubov, must apply as the system approaches equilibrium. This situation must physically occur in processes with an extremely high multiplicity, at least if the hadron mass is nonzero. We also describe a new strong-coupling perturbation scheme, which is useful for taking symmetry restrictions on the dynamics of dissipation processes into account. We review the literature devoted to this problem.

DOI: https://doi.org/10.4213/tmf298

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English version:
Theoretical and Mathematical Physics, 2002, 130:2, 153–197

Bibliographic databases:

Citation: I. D. Mandzhavidze, A. N. Sisakyan, “A Field Theory Description of Constrained Energy-Dissipation Processes”, TMF, 130:2 (2002), 179–232; Theoret. and Math. Phys., 130:2 (2002), 153–197

Citation in format AMSBIB
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Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Manjavidze, JD, “Physics of processes with very high multiplicity”, Physics of Particles and Nuclei, 32 (2001), S57
2. A. N. Sisakyan, “Thermalization phenomenon in hadron physics”, Phys. Usp., 46:3 (2003), 320–324
3. Manjavidze J., Sissakian A., “Statistical models and thermalization”, Ichep 2002, Proceedings, 2003, 381–384
4. Manjavidze J, Voronyuk V, “On the non-perturbative effects”, Czechoslovak Journal of Physics, 54 (2004), B57–B62, Suppl. B
5. Manjavidze J, Sissakian A, “Symmetries, variational principles, and quantum dynamics”, Discrete Dynamics in Nature and Society, 2004, no. 1, 205–212
6. Manjavidze J, Voronyuk VV, “Toward very high multiplicity event generator”, Physics of Atomic Nuclei, 67:1 (2004), 163–169
7. Manjavidze J, Sissakian A, “On the status of VHM physics”, Acta Physica Polonica B, 35:1 (2004), 169–177
8. Manjavidze, J, “S-matrix description of finite-temperature nonequilibrium media”, Physics of Particles and Nuclei, 36:5 (2005), 552
9. Manjavidze J., “On the Connection Between Quantum and Classical Descriptions”, Phys. Part. Nuclei, 43:4 (2012), 523–556
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