Thermal quantum field theory: Difference between revisions
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{{Unreferenced stub|auto=yes|date=December 2009}} | |||
In [[theoretical physics]], a '''source field''' is a field <math>J</math> whose multiple | |||
:<math> S_{source} = J\Phi</math> | |||
appears in the action, multiplied by the original field <math>\Phi</math>. Consequently, the source field appears on the right-hand side of the equations of motion (usually second-order [[partial differential equation]]s) for <math>\Phi</math>. When the field <math>\Phi</math> is the [[electromagnetic potential]] or the [[metric tensor]], the source field is the [[electric current]] or the [[stress-energy tensor]], respectively. | |||
All [[Green's function]]s (correlators) may be formally found via [[Taylor expansion]] of the [[partition sum]] considered as a function of the source fields. This method is commonly used in the [[path integral formulation]] of [[quantum field theory]]. The general method by which such source fields can be utilized to obtain propagators in both quantum, statistical-mechanics and other systems is outlined in the article on the [[partition function (mathematics)|partition function]]. | |||
{{DEFAULTSORT:Source Field}} | |||
[[Category:Quantum field theory]] | |||
{{Phys-stub}} | |||
Revision as of 17:13, 19 August 2013
Template:Unreferenced stub In theoretical physics, a source field is a field whose multiple
appears in the action, multiplied by the original field . Consequently, the source field appears on the right-hand side of the equations of motion (usually second-order partial differential equations) for . When the field is the electromagnetic potential or the metric tensor, the source field is the electric current or the stress-energy tensor, respectively.
All Green's functions (correlators) may be formally found via Taylor expansion of the partition sum considered as a function of the source fields. This method is commonly used in the path integral formulation of quantum field theory. The general method by which such source fields can be utilized to obtain propagators in both quantum, statistical-mechanics and other systems is outlined in the article on the partition function.
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