scholarly journals Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin- 1/2 particles from quantum field theory

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
Nora Weickgenannt ◽  
Enrico Speranza ◽  
Xin-li Sheng ◽  
Qun Wang ◽  
Dirk H. Rischke
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Boltzmann Equation ◽  
Collision Term ◽  
Quantum Field ◽  
Relativistic Boltzmann Equation ◽  
Massive Spin

scholarly journals The Boltzmann equation from quantum field theory

2013 ◽  
Vol 718 (3) ◽  
pp. 1119-1124 ◽  
Author(s):  
Marco Drewes ◽  
Sebastián Mendizabal ◽  
Christoph Weniger
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Boltzmann Equation ◽  
Quantum Field ◽  
The Boltzmann Equation

scholarly journals Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Tomáš Blažek ◽  
Peter Maták
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Boltzmann Equation ◽  
Kinetic Theory ◽  
Thermal Effects ◽  
Reaction Rates ◽  
Quantum Field ◽  
Zero Temperature ◽  
Intermediate States ◽  
Classical Boltzmann Equation

AbstractNonequilibrium quantum field theory is often used to derive an approximation for the evolution of number densities and asymmetries in astroparticle models when a more precise treatment of quantum thermal effects is required. This work presents an alternative framework using the zero-temperature quantum field theory, S-matrix unitarity, and classical Boltzmann equation as starting points leading to a set of rules for calculations of thermal corrections to reaction rates. Statistical factors due to on-shell intermediate states are obtained from the cuts of forward diagrams with multiple spectator lines. It turns out that it is equivalent to cutting closed diagrams on a cylindrical surface.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

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