|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Hamiltonian finite-temperature quantum field theory from its vacuum on partially compactified space | | Hugo Reinhardt
; | | Date: |
21 Apr 2016 | | Abstract: | The partition function of a relativistic invariant quantum field theory is
expressed by its vacuum energy calculated on a spatial manifold with one
dimension compactified to a 1-sphere $S^1 (eta)$, whose circumference $eta$
represents the inverse temperature. Explicit expressions for the usual energy
density and pressure in terms of the energy density on the partially
compactified spatial manifold $mathbb{R}^2 imes S^1 (eta)$ are derived. To
make the resulting expressions mathematically well-defined a Poisson
resummation of the Matsubara sums as well as an analytic continuation in the
chemical potential are required. The new approach to finite-temperature quantum
field theories is advantageous in a Hamilton formulation since it does not
require the usual thermal averages with the density operator. Instead, the
whole finite-temperature behaviour is encoded in the vacuum wave functional on
the spatial manifold $mathbb{R}^2 imes S^1 (eta)$. We illustrate this
approach by calculating the pressure of a relativistic Bose and Fermi gas and
reproduce the known results obtained from the usual grand canonical ensemble.
As a first non-trivial application we calculate the pressure of Yang-Mills
theory as function of the temperature in a quasi-particle approximation
motivated by variational calculations in Coulomb gauge. | | Source: | arXiv, 1604.6273 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER