Analytical results for the high-temperature expansion of the one-dimensionals=1XXZmodel

2003 ◽  
Vol 67 (11) ◽  
Author(s):  
Onofre Rojas ◽  
E. V. Corrêa Silva ◽  
Winder A. Moura-Melo ◽  
S. M. de Souza ◽  
M. T. Thomaz
Keyword(s):  
High Temperature ◽  
Temperature Expansion ◽  
Analytical Results ◽  
High Temperature Expansion ◽  
The One

scholarly journals HIGH TEMPERATURE EXPANSION OF STRING FREE ENERGY IN HYPERBOLIC SPACE

1995 ◽  
Vol 10 (22) ◽  
pp. 1619-1626 ◽  
Author(s):  
A.A. BYTSENKO ◽  
S.D. ODINTSOV ◽  
S. ZERBINI
Keyword(s):  
Free Energy ◽  
High Temperature ◽  
Normal Modes ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Lower Mass ◽  
Temperature Expansion ◽  
High Temperature Expansion ◽  
Leading Term ◽  
The One

The high temperature behavior of the open bosonic string free energy in the space S1 ⊗ HN with vanishingly small curvature is investigated. The leading term of the high temperature expansion of the one-loop free energy, near the Hagedorn instability, is obtained. The problem of ir regularization of thermodynamical quantities is pointed out. For minimally coupling quantum fields related to the normal modes of strings, the results are similar to the ones valid for Rindler space. In the lower mass string states regime a connection with the quantum corrections to the black hole entropy is outlined.

MONTE CARLO STUDY OF THE SPIN-1/2 HEISENBERG MODEL IN 1, 2, AND 3 DIMENSIONS

1991 ◽  
Vol 05 (13) ◽  
pp. 907-914 ◽  
Author(s):  
RICHARD J. CRESWICK ◽  
CYNTHIA J. SISSON
Keyword(s):  
Monte Carlo ◽  
High Temperature ◽  
Spin Wave ◽  
Heisenberg Model ◽  
Transition Probability ◽  
Lattice Models ◽  
Wave Theory ◽  
Temperature Expansion ◽  
High Temperature Expansion ◽  
Good Agreement

The properties of the spin-1/2 Heisenberg model on 1, 2, and 3-dimensional lattices are calculated using the Decoupled Cell Method of Homma et al., and these results are compared with high temperature and spin-wave expansions, and with other numerical approaches. The DCM has advantages over other Monte Carlo methods currently in wide use in that the transition probability is positive definite, there is no need to introduce an additional imaginary time, or Trotter, dimension, and the acceptance rate for transitions is comparable to that of classical lattice models. We find very good agreement between the DCM and the high temperature expansion in the temperature region where the high temperature expansion is valid, and reasonably good agreement at low temperatures with spin wave theory. The DCM fails for temperatures T < Tc which decreases with the size of the cell.

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