CURRENT-CURRENT CORRELATION FUNCTION ON ALGEBRAIC CURVES

1993 ◽  
Vol 08 (12) ◽  
pp. 1153-1159 ◽  
Author(s):  
JAN SOBCZYK
Keyword(s):  
Correlation Function ◽  
Riemann Surface ◽  
Algebraic Curves ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Expectation Value ◽  
Current Correlation Function ◽  
Current Correlation ◽  
Ramified Covering ◽  
A Current

We derive an explicit expression for a current-current correlation function on a Riemann surface represented as 3 sheets ramified covering over CP(1). The method used in the paper can be easily applied to more general algebraic curves. Knowledge of G(z, w) enables calculation of the expectation value of the energy momentum tensor for scalar field.

scholarly journals Study of energy-momentum tensor correlation function in N$_f$=2+1 full QCD for QGP viscosities

2019 ◽  
Author(s):  
Yusuke Taniguchi ◽  
Atsushi Baba ◽  
Asobu Suzuki ◽  
Shinji Ejiri ◽  
Kazuyuki Kanaya ◽  
...  
Keyword(s):  
Correlation Function ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Tensor Correlation

scholarly journals Energy-momentum tensor correlation function in Nf = 2 + 1 full QCD at finite temperature

2018 ◽  
Vol 175 ◽  
pp. 07013 ◽  
Author(s):  
Yusuke Taniguchi ◽  
Shinji Ejiri ◽  
Kazuyuki Kanaya ◽  
Masakiyo Kitazawa ◽  
Asobu Suzuki ◽  
...  
Keyword(s):  
Correlation Function ◽  
Finite Temperature ◽  
Linear Response ◽  
Quark Mass ◽  
Energy Momentum Tensor ◽  
Gradient Flow ◽  
Momentum Tensor ◽  
Entropy Density ◽  
Tensor Correlation ◽  
Renormalized Energy

We measure correlation functions of the nonperturbatively renormalized energy-momentum tensor in Nf = 2 + 1 full QCD at finite temperature by applying the gradient flow method both to the gauge and quark fields. Our main interest is to study the conservation law of the energy-momentum tensor and to test whether the linear response relation is properly realized for the entropy density. By using the linear response relation we calculate the specific heat from the correlation function. We adopt the nonperturba-tively improved Wilson fermion and Iwasaki gauge action at a fine lattice spacing = 0:07 fm. In this paper the temperature is limited to a single value T ≃ 232 MeV. The u, d quark mass is rather heavy with mπ=mρ ≃ 0:63 while the s quark mass is set to approximately its physical value.

scholarly journals Semi-Classical Einstein Equations: Descend to the Ground State

Universe ◽  
2020 ◽  
Vol 6 (6) ◽  
pp. 74
Author(s):  
Zbigniew Haba
Keyword(s):  
Ground State ◽  
Energy Momentum Tensor ◽  
Local Maximum ◽  
Momentum Tensor ◽  
Einstein Equations ◽  
Thermal Dissipation ◽  
Stationary Probability Distribution ◽  
Expectation Value ◽  
Warm Inflation ◽  
The Right

The time-dependent cosmological term arises from the energy-momentum tensor calculated in a state different from the ground state. We discuss the expectation value of the energy-momentum tensor on the right hand side of Einstein equations in various (approximate) quantum pure as well as mixed states. We apply the classical slow-roll field evolution as well as the Starobinsky and warm inflation stochastic equations in order to calculate the expectation value. We show that, in the state concentrated at the local maximum of the double-well potential, the expectation value is decreasing exponentially. We confirm the descent of the expectation value in the stochastic inflation model. We calculate the cosmological constant Λ at large time as the expectation value of the energy density with respect to the stationary probability distribution. We show that Λ ≃ γ 4 3 where γ is the thermal dissipation rate.

Peculiarities of time dependence of the current–current correlation function

2003 ◽  
Vol 118 (23) ◽  
pp. 10382-10386 ◽  
Author(s):  
T. V. Lokotosh ◽  
N. P. Malomuzh ◽  
K. S. Shakun
Keyword(s):  
Correlation Function ◽  
Time Dependence ◽  
Current Correlation Function ◽  
Current Correlation
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