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An analytical study of the Evolution of the Real time in statistical Quantum mechanics of the pure Gauge theory (Gluons without Quarks) with the potential expansion until the sixth degree

دراسة تحليلية لتطور الزمن الحقيقي في ميكانيك الكم الإحصائي لنظرية المعايرة الصافية (الغليونات بدون الكواركات) مع منشور الكمون حتى الدرجة السادسة

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 Publication date 2014
and research's language is العربية
 Created by Shamra Editor




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We take the effective Hamiltonian operator until the sixth degree[12] and this operator has enabled us to convert from pure gauge theory with group SU(2) into the study of statistical quantum mechanics with the group SU(2) and this mean physically we have converted from the study of an infinite number of particles and of freedom degrees (quarks- gluons-plasma) into study of three particles (Global) that mains nine of freedom degrees and specifically nine anharmonic oscillators and after that we apply Wigner’s mode[16] on homogenous modes remaining after quantization of the inhomogenous modes and we have concluded the relation of real-time evolution of the color magnetic energy and the color electric energy .



References used
LUSCHER‚ M. Mass Spectrum of YM Gauge Theories On a Torus. Nucl . Physics B North-Holland vol. 219‚ . 1‚ 1983‚pp. 233-261
LUSCHER, M. and MUNSTER‚ G.Weak-coupling expansion of the low-lying Energy values in the SU(2) gauge theory on a torus. Nucl . Phys. B North-Holland Vol. 232‚ .3‚ 1984‚PP. 445-472
KOLLER‚J. and VANBAAL‚ P.-SU(2) Spectroscopy Intermediate Volumes Phys. Rev Lett. U.S.A. vol. 58‚ .24‚ 1987‚PP. 2511-2514
VAN BAAL‚ P .and KOLLER‚ J.QCD on a Torus‚ and Electric Flux Energies From Tunneling Ann. Phys . U.S.A. VOL. 174‚ .2‚ 1987 ‚299-371
KRIPFGANZ ‚ J. and MICHAEL‚ C.- Fermionic Contributions to The Glueball Spectrum In a Small Volume Phys. Lett.B North-Holland vol. 209, .1‚ 1988. 77- 79
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We take the effective Hamiltonian operator until the sixth degree [18] and this operator has enabled us to convert from gauge theory with group SU(2) into the study of statistical quantum mechanics with the group SU(2) and this mean physically we hav e converted from the study of an infinite number of particles and of freedom degrees (quarks- gluons-plasma) into study of three particles (Global) independed of space that mains nine of freedom degrees and specifically nine anharmonic oscillators and after that we apply Wigner’s mode [16] on homogenous modes remaining after quantization of the inhomogenous modes and we have concluded the relation of real-time evolution of the color magnetic energy and the color electric energy .
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