%0 Journal Article %1 green_mean_1984 %A Green, F. %A Karsch, F. %D 1984 %J Nuclear Physics B %K imported %N 2 %P 297--306 %R 10.1016/0550-3213(84)90452-8 %T Mean field analysis of SU(N) deconfining transitions in the presence of dynamical quarks %U http://www.sciencedirect.com/science/article/pii/0550321384904528 %V 238 %X The deconfining transitions of SU(N) lattice gauge theories, both with and without quarks, are studied using strong coupling techniques combined with a mean field analysis. In the pure gauge sector our analysis suggests first-order transitions for N ⩾ 3 and a second-order transition only for N = 2. Quarks are incorporated via an effective external field h related to the Wilson hopping parameter. For N = 2 the transition disappears for arbitrarily small h, whereas for finite N ⩾ 3 it disappears above non-zero critical field hc. hc approaches zero as N → ∞ even though the pure gauge sector transition remains first order. Our results for hc in the SU(3) case agree well with recent Monte Carlo simulations.

@article{green_mean_1984, abstract = {The deconfining transitions of {SU(N)} lattice gauge theories, both with and without quarks, are studied using strong coupling techniques combined with a mean field analysis. In the pure gauge sector our analysis suggests first-order transitions for N ⩾ 3 and a second-order transition only for N = 2. Quarks are incorporated via an effective external field h related to the Wilson hopping parameter. For N = 2 the transition disappears for arbitrarily small h, whereas for finite N ⩾ 3 it disappears above non-zero critical field hc. hc approaches zero as N → ∞ even though the pure gauge sector transition remains first order. Our results for hc in the {SU(3)} case agree well with recent Monte Carlo simulations.}, added-at = {2013-03-05T18:20:59.000+0100}, author = {Green, F. and Karsch, F.}, biburl = {https://www.bibsonomy.org/bibtex/2b03d8178aa8f459806de29934e266e16/gber}, doi = {10.1016/0550-3213(84)90452-8}, file = {ScienceDirect Full Text PDF:/home/bergner/zotero/storage/5AK8J24U/Green and Karsch - 1984 - Mean field analysis of SU(N) deconfining transitio.pdf:application/pdf;ScienceDirect Snapshot:/home/bergner/zotero/storage/73JEVTBP/0550321384904528.html:text/html}, interhash = {48fdebcd7becb37fdfb2080cdf9d638a}, intrahash = {b03d8178aa8f459806de29934e266e16}, issn = {0550-3213}, journal = {Nuclear Physics B}, keywords = {imported}, month = jun, number = 2, pages = {297--306}, timestamp = {2013-03-05T18:21:00.000+0100}, title = {Mean field analysis of {SU(N)} deconfining transitions in the presence of dynamical quarks}, url = {http://www.sciencedirect.com/science/article/pii/0550321384904528}, urldate = {2013-03-05}, volume = 238, year = 1984 }