scholarly journals Thermal correlation functions of twisted quantum fields

2010 ◽  
Vol 82 (2) ◽  
Author(s):  
Prasad Basu ◽  
Rahul Srivastava ◽  
Sachindeo Vaidya
Keyword(s):  
Correlation Functions ◽  
Quantum Fields ◽  
Thermal Correlation

scholarly journals Thermal correlation functions of KdV charges in 2D CFT

2019 ◽  
Vol 2019 (2) ◽  
Author(s):  
Alexander Maloney ◽  
Gim Seng Ng ◽  
Simon F. Ross ◽  
Ioannis Tsiares
Keyword(s):  
Correlation Functions ◽  
Thermal Correlation

Statistical mechanics of quantum one-dimensional damped harmonic oscillator

1985 ◽  
Vol 63 (5) ◽  
pp. 600-604 ◽  
Author(s):  
E. N. M. Borges ◽  
O. N. Borges ◽  
L. A. Amarante Ribeiro
Keyword(s):  
Statistical Mechanics ◽  
Harmonic Oscillator ◽  
Correlation Functions ◽  
Function Method ◽  
Thermal Fluctuations ◽  
Exact Form ◽  
One Dimensional ◽  
Damped Harmonic Oscillator ◽  
The One ◽  
Thermal Correlation

We calculate the thermal correlation functions of the one-dimensional damped harmonic oscillator in contact with a reservoir, in an exact form by applying Green's function method. In this way the thermal fluctuations are incorporated in the Caldirola–Kanai Hamiltonian.

scholarly journals Thermal correlation functions in CFT and factorization

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
D. Rodriguez-Gomez ◽  
J. G. Russo
Keyword(s):  
Free Energy ◽  
Correlation Functions ◽  
Finite Temperature ◽  
Analytic Formula ◽  
Black Brane ◽  
Factorization Property ◽  
Point Function ◽  
Universal Formula ◽  
Thermal Correlation ◽  
Semiclassical Regime

Abstract We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The 2-point function leads to a universal formula for the holographic free energy in d dimensions in terms of the c-anomaly coefficient. By including α′ corrections to the black brane background, we reproduce the leading correction at strong coupling. In turn, 3-point functions have a very intricate structure, exhibiting a number of interesting properties. In simple cases, we find an analytic formula. When the dimensions satisfy ∆i = ∆j + ∆k, the thermal 3-point function satisfies a factorization property. We argue that in d > 2 factorization is a reflection of the semiclassical regime.

scholarly journals ELLIPTIC THERMAL CORRELATION FUNCTIONS AND MODULAR FORMS IN A GLOBALLY CONFORMAL INVARIANT QFT

2005 ◽  
Vol 17 (06) ◽  
pp. 613-667 ◽  
Author(s):  
NIKOLAY M. NIKOLOV ◽  
IVAN T. TODOROV
Keyword(s):  
Modular Forms ◽  
Correlation Functions ◽  
Elliptic Functions ◽  
Temperature Correlation ◽  
Mean Values ◽  
Free Fields ◽  
Time Variables ◽  
Thermal Correlation ◽  
Formal Power ◽  
Finite Linear

Global conformal invariance (GCI) of quantum field theory (QFT) in two and higher space-time dimensions implies the Huygens' principle, and hence, rationality of correlation functions of observable fields [29]. The conformal Hamiltonian H has discrete spectrum assumed here to be finitely degenerate. We then prove that thermal expectation values of field products on compactified Minkowski space can be represented as finite linear combinations of basic (doubly periodic) elliptic functions in the conformal time variables (of periods 1 and τ) whose coefficients are, in general, formal power series in q½ = eiπτ involving spherical functions of the "space-like" fields' arguments. As a corollary, if the resulting expansions converge to meromorphic functions, then the finite temperature correlation functions are elliptic. Thermal 2-point functions of free fields are computed and shown to display these features. We also study modular transformation properties of Gibbs energy mean values with respect to the (complex) inverse temperature [Formula: see text]. The results are used to obtain the thermodynamic limit of thermal energy densities and correlation functions.

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