TWO GEOMETRIC APPROACHES TO STUDY THE DECONFINEMENT PHASE TRANSITION IN (3+1)-DIMENSIONALZ2GAUGE THEORIES

Semra Gündüç, Mehmet Dilaver and Yiğit Gündüç
Additional contact information
Semra Gündüç: Physics Department, Hacettepe University, 06532 Beytepe, Ankara, Turkey
Mehmet Dilaver: Physics Department, Hacettepe University, 06532 Beytepe, Ankara, Turkey
Yiğit Gündüç: Physics Department, Hacettepe University, 06532 Beytepe, Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 01, 17-27

Abstract: We have simulated (3+1)-dimensional finite temperatureZ2gauge theory by using Metropolis algorithm. We aimed to observe the deconfinement phase transitions by using geometric methods. In order to do so we have proposed two different methods which can be applied to three-dimensional effective spin model consisting of Polyakov loop variables. The first method is based on the studies of cluster structures of each configuration. For each temperature, configurations are obtained from a set of bond probability(P)values. At a certain probability, percolating clusters start to emerge. Unless the probability value coincides with the Coniglio–Klein probability value, the fluctuations are less than the actual fluctuations at the critical point. In this method the task is to identify the probability value which yields the highest peak in the diverging quantities on finite lattices. The second method uses the scaling function based on the surface renormalization, which is of geometric origin. Since this function is a scaling function, the measurements done on different-size lattices yield the same value at the critical point, apart from the correction to scaling terms. The linearization of the scaling function around the critical point yields the critical point and the critical exponents.

Keywords: Phase transition; finite-size scaling; percolating clusters; geometrical approach to phase transitions; Monte Carlo simulation; finite temperature lattice gauge theories (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183104005528
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:15:y:2004:i:01:n:s0129183104005528

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183104005528

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().