Partition function (quantum field theory)
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In quantum field theory, we have a generating functional, Z[J] of correlation functions and this value, called the partition function is usually expressed by something like the following functional integral:
![\int \mathcal{D}\phi e^{i(S[\phi]+\int d^dx J(x)\phi(x))}](../../../math/1/a/9/1a99cdcb8d6ad7ed9e541510e128cc88.png)
where S is the action functional. This is very analogous to statistical mechanics. In fact, a Wick rotation emphasizes the similarities.
See also partition function (statistical mechanics)
[edit] Books
- Kleinert, Hagen, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, 4th edition, World Scientific (Singapore, 2004); Paperback ISBN 981-238-107-4 (also available online: PDF-files)
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| Quantum field theory |
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| Field theory • overview of QFT • gauge theory • quantization • renormalization • partition function • vacuum state • anomaly • spontaneous symmetry breaking • condensates Some models: |
