%0 Journal Article %1 gross_order_1984 %A Gross, Mark %A Wheater, J.F. %D 1984 %J Nuclear Physics B %K imported %N 2 %P 253--269 %R 10.1016/0550-3213(84)90478-4 %T On the order of the SU(N) deconfinement phase transition %U http://www.sciencedirect.com/science/article/pii/0550321384904784 %V 240 %X Strong coupling, mean-field and Monte Carlo techniques are used to investigate the phase structure of SU(N) pure gauge theories at high temperature and large coupling. Previously, conflicting results have been presented for the order of the deconfining transition in SU(N), N > 3. Both approaches use a low-order strong coupling expansion to find an effective action for the Wilson line variables. In one case this action was analyzed using mean-field theory yielding a first-order transition, in the other all but Z(N) degrees of freedom were integrated out giving an N-state clock model which is believed to have a second-order transition. We give Monte Carlo evidence that the 4-state clock model indeed has a second-order transition and the lowest order N=4 effective Wilson line action a first-order one. For this and other reasons, we argue that the effects of higher order terms in the effective Wilson line action must be included. We analyse this action using mean-field techniques and find a first-order phase transition for SU(4) at strong coupling.

@article{gross_order_1984, abstract = {Strong coupling, mean-field and Monte Carlo techniques are used to investigate the phase structure of {SU(N)} pure gauge theories at high temperature and large coupling. Previously, conflicting results have been presented for the order of the deconfining transition in {SU(N)}, N \> 3. Both approaches use a low-order strong coupling expansion to find an effective action for the Wilson line variables. In one case this action was analyzed using mean-field theory yielding a first-order transition, in the other all but Z(N) degrees of freedom were integrated out giving an N-state clock model which is believed to have a second-order transition. We give Monte Carlo evidence that the 4-state clock model indeed has a second-order transition and the lowest order N=4 effective Wilson line action a first-order one. For this and other reasons, we argue that the effects of higher order terms in the effective Wilson line action must be included. We analyse this action using mean-field techniques and find a first-order phase transition for {SU(4)} at strong coupling.}, added-at = {2013-03-05T18:20:59.000+0100}, author = {Gross, Mark and Wheater, {J.F.}}, biburl = {https://www.bibsonomy.org/bibtex/2b21e21066c75c59761ab6a386c36cfbe/gber}, doi = {10.1016/0550-3213(84)90478-4}, file = {ScienceDirect Full Text PDF:/home/bergner/zotero/storage/3UNTVAIV/Gross and Wheater - 1984 - On the order of the SU(N) deconfinement phase tran.pdf:application/pdf;ScienceDirect Snapshot:/home/bergner/zotero/storage/R4GI5RU2/0550321384904784.html:text/html}, interhash = {01486811f472880396ad2d7ec3c04a38}, intrahash = {b21e21066c75c59761ab6a386c36cfbe}, issn = {0550-3213}, journal = {Nuclear Physics B}, keywords = {imported}, month = sep, number = 2, pages = {253--269}, timestamp = {2013-03-05T18:21:00.000+0100}, title = {On the order of the {SU(N)} deconfinement phase transition}, url = {http://www.sciencedirect.com/science/article/pii/0550321384904784}, urldate = {2013-03-05}, volume = 240, year = 1984 }