This introductory study aims to explain how a gas formed by scalar particles pro-
pagates from on... more This introductory study aims to explain how a gas formed by scalar particles pro- pagates from one region to another in space-time, via Quantum Field Theory formalism at finite temperature. In addition, it is intended to explain how the interaction between such particles can influence this propagation, in first order of approximation.
The SDE are important in the treatment of field theories, especially those with large coupling. H... more The SDE are important in the treatment of field theories, especially those with large coupling. Here, we will discuss about the solutions of SDE's of a theory with self-interaction potential φ³, which form an infinite set of equations. The φ³-theory of scalar field presents problems in the vacuum state definition, since it is not limited inferiorly in its entire domain. Although this problem does not affect its perturbative treatment, the non-perturbative method of Schwinger-Dyson is able to feel it. Moreover, we will also need to better understand the iterative method for coupled integral equations, which presents a good solution for scalar field theory.
This introductory study aims to explain how a gas formed by scalar particles pro-
pagates from on... more This introductory study aims to explain how a gas formed by scalar particles pro- pagates from one region to another in space-time, via Quantum Field Theory formalism at finite temperature. In addition, it is intended to explain how the interaction between such particles can influence this propagation, in first order of approximation.
The SDE are important in the treatment of field theories, especially those with large coupling. H... more The SDE are important in the treatment of field theories, especially those with large coupling. Here, we will discuss about the solutions of SDE's of a theory with self-interaction potential φ³, which form an infinite set of equations. The φ³-theory of scalar field presents problems in the vacuum state definition, since it is not limited inferiorly in its entire domain. Although this problem does not affect its perturbative treatment, the non-perturbative method of Schwinger-Dyson is able to feel it. Moreover, we will also need to better understand the iterative method for coupled integral equations, which presents a good solution for scalar field theory.
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pagates from one region to another in space-time, via Quantum Field Theory formalism
at finite temperature. In addition, it is intended to explain how the interaction between
such particles can influence this propagation, in first order of approximation.
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pagates from one region to another in space-time, via Quantum Field Theory formalism
at finite temperature. In addition, it is intended to explain how the interaction between
such particles can influence this propagation, in first order of approximation.