Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results

Seel E, Smith D, Lottini S, Giacosa F (2013)
Journal Of High Energy Physics 1307(7).

Journal Article | Published | English

No fulltext has been uploaded

Author
; ; ;
Abstract
A detailed study of the thermodynamics of the O(N = 3) model in 1+1 dimensions is presented, employing a two-particle-irreducible resummation prescription as well as fully nonperturbative finite-temperature lattice simulations. The analytical results are computed using the Cornwall-Jackiw-Tomboulis (CJT) formalism and the auxiliary field method to one- and to two-loop order. The lattice results are obtained through Monte Carlo simulation for various lattice spacings. The analytical and lattice results for pressure, trace anomaly, and energy density, resembling closely those of four-dimensional Yang-Mills theories, are compared with each other. We find that to one-loop order there is a good correspondence between the CJT formalism and the lattice study for low temperatures. However, at high T the two-loop calculation fares better, correcting for the overestimation from the former approximation.
Publishing Year
ISSN
PUB-ID

Cite this

Seel E, Smith D, Lottini S, Giacosa F. Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results. Journal Of High Energy Physics. 2013;1307(7).
Seel, E., Smith, D., Lottini, S., & Giacosa, F. (2013). Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results. Journal Of High Energy Physics, 1307(7).
Seel, E., Smith, D., Lottini, S., and Giacosa, F. (2013). Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results. Journal Of High Energy Physics 1307.
Seel, E., et al., 2013. Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results. Journal Of High Energy Physics, 1307(7).
E. Seel, et al., “Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results”, Journal Of High Energy Physics, vol. 1307, 2013.
Seel, E., Smith, D., Lottini, S., Giacosa, F.: Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results. Journal Of High Energy Physics. 1307, (2013).
Seel, Elina, Smith, Dominik, Lottini, Stefano, and Giacosa, Francesco. “Thermodynamics of the O(3) model in 1+1 dimensions: lattice vs. analytical results”. Journal Of High Energy Physics 1307.7 (2013).
This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Web of Science

View record in Web of Science®

Sources

arXiv 1209.4243

Inspire 1186560

Search this title in

Google Scholar