Time‐dependent correlation functions in the high‐temperature limit for the XY‐chain and the Ising‐chain in a transverse magnetic field

1979 ◽  
Vol 50 (B3) ◽  
pp. 1771-1772 ◽  
Author(s):  
J. H. H. Perk ◽  
H. W. Capel
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Correlation Functions ◽  
Temperature Limit ◽  
Transverse Magnetic ◽  
Time Dependent ◽  
Ising Chain ◽  
High Temperature Limit ◽  
Xy Chain ◽  
Dependent Correlation

Time Decay of Correlations in a Spin-1/2 Linear Chain

1998 ◽  
Vol 12 (01) ◽  
pp. 17-21
Author(s):  
Oscar Bolina ◽  
J. Rodrigo Parreira
Keyword(s):  
Magnetic Field ◽  
Asymptotic Behavior ◽  
Ground State ◽  
Energy Gap ◽  
Linear Chain ◽  
Transverse Magnetic ◽  
Time Dependent ◽  
Time Decay ◽  
Dependent Correlation ◽  
Infinite Linear

We determine the asymptotic behavior of time-dependent correlation functions in a spin-[Formula: see text] infinite linear chain with a strong transverse magnetic field in terms of the energy gap of the ground state against the excited ones.

Green–Kubo Formulae for a Plasma in an External Magnetic Field

1974 ◽  
Vol 52 (6) ◽  
pp. 516-522 ◽  
Author(s):  
P. B. Corkum ◽  
J. A. McLennan
Keyword(s):  
Magnetic Field ◽  
Correlation Function ◽  
External Magnetic Field ◽  
Correlation Functions ◽  
Perturbation Technique ◽  
Transport Coefficients ◽  
Time Dependent ◽  
Hydrodynamic Modes ◽  
Space And Time ◽  
Dependent Correlation

The relation between linearized magnetohydrodynamics and the space and time dependent correlation functions of a plasma in an external magnetic field is derived. The method used is a perturbation technique based on the assumption that the correlation functions can be decomposed into a slow, hydrodynamic, and a rapid, microscopic, part. Using this method, the hydrodynamic modes are determined, and the description of magnetohydrodynamics found in this manner is assumed to be identical to regular magnetohydrodynamics. The resulting correspondence yields a set of correlation function expressions for the transport coefficients and magnetohydrodynamic modes.

scholarly journals A 4d $$ \mathcal{N} $$ = 1 Cardy Formula

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Joonho Kim ◽  
Seok Kim ◽  
Jaewon Song
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Asymptotic Behavior ◽  
High Temperature ◽  
Gauge Theory ◽  
Chemical Potential ◽  
Temperature Limit ◽  
Superconformal Index ◽  
High Temperature Limit ◽  
Cardy Formula

Abstract We study the asymptotic behavior of the (modified) superconformal index for 4d $$ \mathcal{N} $$ N = 1 gauge theory. By considering complexified chemical potential, we find that the ‘high-temperature limit’ of the index can be written in terms of the conformal anomalies 3c − 2a. We also find macroscopic entropy from our asymptotic free energy when the Hofman-Maldacena bound 1/2 < a/c < 3/2 for the interacting SCFT is satisfied. We study $$ \mathcal{N} $$ N = 1 theories that are dual to AdS5 × Yp,p and find that the Cardy limit of our index accounts for the Bekenstein-Hawking entropy of large black holes.

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