scholarly journals Cluster Expansion for Random Systems

1969 ◽  
Vol 41 (5) ◽  
pp. 1375-1376 ◽  
Author(s):  
Hiroshi Ueyama
Keyword(s):  
Cluster Expansion ◽  
Random Systems

SINGULAR SPECTRAIN ONE-DIMENSIONAL RANDOM SYSTEMS

1983 ◽  
Vol 44 (C3) ◽  
pp. C3-1555-C3-1556
Author(s):  
T. A.L. Ziman
Keyword(s):  
Random Systems ◽  
One Dimensional

scholarly journals Quark Cluster Expansion Model for Interpreting Finite-T Lattice QCD Thermodynamics

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 514
Author(s):  
David Blaschke ◽  
Kirill A. Devyatyarov ◽  
Olaf Kaczmarek
Keyword(s):  
Lattice Qcd ◽  
Cluster Expansion ◽  
Quark Gluon Plasma ◽  
Degrees Of Freedom ◽  
Gluon Plasma ◽  
Polyakov Loop ◽  
Unified Approach ◽  
Narrow Temperature Interval ◽  
Levinson Theorem ◽  
Expansion Model

In this work, we present a unified approach to the thermodynamics of hadron–quark–gluon matter at finite temperatures on the basis of a quark cluster expansion in the form of a generalized Beth–Uhlenbeck approach with a generic ansatz for the hadronic phase shifts that fulfills the Levinson theorem. The change in the composition of the system from a hadron resonance gas to a quark–gluon plasma takes place in the narrow temperature interval of 150–190 MeV, where the Mott dissociation of hadrons is triggered by the dropping quark mass as a result of the restoration of chiral symmetry. The deconfinement of quark and gluon degrees of freedom is regulated by the Polyakov loop variable that signals the breaking of the Z(3) center symmetry of the color SU(3) group of QCD. We suggest a Polyakov-loop quark–gluon plasma model with O(αs) virial correction and solve the stationarity condition of the thermodynamic potential (gap equation) for the Polyakov loop. The resulting pressure is in excellent agreement with lattice QCD simulations up to high temperatures.

Cluster expansion for the energy of the many-electron atom in the nth order of the perturbation theory

1971 ◽  
Vol 11 (5) ◽  
pp. 620-622
Author(s):  
Yu.Yu. Dmitriev ◽  
V.B. Bochkariov ◽  
L.N. Labzovsky ◽  
M.N. Zashikhin
Keyword(s):  
Perturbation Theory ◽  
Cluster Expansion ◽  
Electron Atom ◽  
The Many
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