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 t…(more)
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%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
}