Unified time-path approach to the generating functional of the Brownian oscillator system: The bilinearly corrected Feynman rule for nonequilibrium processes

1996 ◽  
Vol 53 (1) ◽  
pp. 214-227 ◽  
Author(s):  
K. Okumura ◽  
Y. Tanimura
Keyword(s):  
Feynman Rule ◽  
Nonequilibrium Processes ◽  
Generating Functional ◽  
Oscillator System ◽  
Time Path ◽  
Brownian Oscillator

Perturbation theory for nonequilibrium quantum fields

1993 ◽  
Vol 71 (5-6) ◽  
pp. 262-268 ◽  
Author(s):  
Ian D. Lawrie
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Scalar Field ◽  
Real Time ◽  
Expanding Universe ◽  
Nonequilibrium Processes ◽  
Self Energy ◽  
Time Path ◽  
Renormalization Technique ◽  
Standard Perturbation Theory

Standard perturbation theory fails when applied to nonequilibrium processes. I explain why. To achieve sensible results, it is necessary to resum the absorptive parts of real-time self-energy corrections. Using the closed-time-path formalism, and in the context of scalar-field theory in an expanding universe, I show how a generalized renormalization technique can achieve this.

INFLUENCE OF NONEQUILIBRIUM FACTORS OF KEY REACTIONS ON SYNTHESIS GAS IGNITION

2020 ◽  
Author(s):  
I. V. Arsentiev ◽  
◽  
I. N. Kadochnikov ◽  
Keyword(s):  
Shock Wave ◽  
Synthesis Gas ◽  
Nonequilibrium Processes ◽  
Gas Ignition ◽  
Ignition And Combustion ◽  
Model Approach

The nonequilibrium processes of ignition and combustion of a syngas-air mixture behind a shock wave is studied using the mode model approach.

Quantum mechanics

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Transition Amplitude ◽  
External Source ◽  
Quantum Field ◽  
Damping Term ◽  
Relativistic Quantum Theory ◽  
Generating Functional

After a brief review of the operator approach to quantum mechanics, Feynmans path integral, which expresses a transition amplitude as a sum over all paths, is derived. Adding a linear coupling to an external source J and a damping term to the Lagrangian, the ground-state persistence amplitude is obtained. This quantity serves as the generating functional Z[J] for n-point Green functions which are the main target when studying quantum field theory. Then the harmonic oscillator as an example for a one-dimensional quantum field theory is discussed and the reason why a relativistic quantum theory should be based on quantum fields is explained.

scholarly journals Spectrum of the Dicke model in a superconducting qubit-oscillator system

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
S. Ashhab ◽  
Y. Matsuzaki ◽  
K. Kakuyanagi ◽  
S. Saito ◽  
F. Yoshihara ◽  
...  
Keyword(s):  
Superconducting Qubit ◽  
Oscillator System ◽  
Dicke Model

scholarly journals SLAVNOV–TAYLOR IDENTITY FOR NONEQUILIBRIUM QUARK–GLUON PLASMA

2001 ◽  
Vol 16 (08) ◽  
pp. 531-540 ◽  
Author(s):  
K. OKANO
Keyword(s):  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Polarization Tensor ◽  
Gluon Polarization ◽  
Time Path

Within the closed-time-path formalism of nonequilibrium QCD, we derive a Slavnov–Taylor (ST) identity for the gluon polarization tensor. The ST identity takes the same form in both Coulomb and covariant gauges. Application to quasi-uniform quark–gluon plasma (QGP) near equilibrium or nonequilibrium quasistationary QGP is made.

scholarly journals Time delay effect in a three coupled oscillator system of the physarum plasmodium

2000 ◽  
Vol 40 (supplement) ◽  
pp. S100
Author(s):  
A. Takamatsu ◽  
T. Fujii ◽  
I. Endo
Keyword(s):  
Time Delay ◽  
Delay Effect ◽  
Coupled Oscillator ◽  
Oscillator System ◽  
Time Delay Effect

scholarly journals Boundary conditions in topological AdS4/CFT3

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Pietro Benetti Genolini ◽  
Matan Grinberg ◽  
Paul Richmond
Keyword(s):  
Field Theory ◽  
Free Energy ◽  
Boundary Conditions ◽  
Smooth Solution ◽  
Three Dimensional ◽  
Field Theories ◽  
Legendre Transformation ◽  
Generating Functional ◽  
Holographic Duals

Abstract We revisit the construction in four-dimensional gauged Spin(4) supergravity of the holographic duals to topologically twisted three-dimensional $$ \mathcal{N} $$ N = 4 field theories. Our focus in this paper is to highlight some subtleties related to preserving supersymmetry in AdS/CFT, namely the inclusion of finite counterterms and the necessity of a Legendre transformation to find the dual to the field theory generating functional. Studying the geometry of these supergravity solutions, we conclude that the gravitational free energy is indeed independent from the metric of the boundary, and it vanishes for any smooth solution.

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