Deconfinement transition and monopoles in T≠0T\neq0 SU(2)SU(2) QCD

The role of monopoles in the deconfinement transition is discussed in the framework of abelian projection in the maximally abelian gauge in $T\neq0$ $SU(2)$ QCD. Only one (or a few near $\beta_c$) long connected monopole loop exists uniformly through the whole lattice in each vacuum configuration in addition to some very short loops in the confinement phase and the long loop disappears in the deep deconfinement region. Energy-entropy balance of the long loops of maximally extended monopoles explains the existence of the deconfinement transition and reproduces roughly the value of the critical temperature.Comment: 23 pages (14 figures) ,late

Monopoles and deconfinement transition in finite temperature SU(2)SU(2) QCD

We investigate the role of monopoles in the deconfinement transition of finite temperature $SU(2)$ QCD in the maximally abelian gauge. In the confinement phase a long monopole loop exists in each configuration, whereas no long loop exists in the deep deconfinement region. Balancing of the energy and the entropy of loops of the maximally extended monopoles can explain the occurrence of the deconfinement transition.Comment: 3 pages (4 figures). Contribution to Lattice '9

MonopoleとSU(2)lattice QCDの有限温度相転移

取得学位：博士(理学)，学位授与番号：博甲第128号，学位授与年月日：平成7年3月25日,学位授与年：199

Study of gauge (in)dependence of monopole dynamics

We investigated the gauge (in)dependence of the confinement mechanism due to monopole condensation in SU(2) lattice QCD by various abelian projections. We found (1) the string tension can be reproduced by monopoles alone also in Polyakov gauge and (2) the behaviors of the Polyakov loop at the critical temperature seem to be explained by the uniformity breaking of the monopole currents in every gauge.Comment: 4pages (7 figures), Latex, Contribution to Lattice 9

Gauge problem of monopole dynamics in SU(2) lattice gauge theory

金沢大学総合メディア基盤センター　The gauge problem of monopole dynamics is studied in SU(2) lattice gauge theory. We study first the Abelian and monopole contributions to the static potential in four smooth gauges, i.e., the Laplacian Abelian, maximally Abelian Wilson loop, and L-type gauges in comparison with the maximally Abelian (MA) gauge. They all reproduce the string tension in good agreement with the SU(2) string tension. The MA gauge is not the only choice of a good gauge which is suitable for the color confinement mechanism. Using an inverse Monte Carlo method and block spin transformation, we determine the effective monopole actions and the renormalization group (RG) flows of its coupling constants in various Abelian projection schemes. Every RG flow appears to converge to a unique curve which suggests gauge independence in the infrared region. © 2003 The American Physical Society

Critical exponents and abelian dominance in SU(2)SU(2) QCD

The critical properties of the abelian Polyakov loop and the Polyakov loop in terms of Dirac string are studied in finite temperature abelian projected $SU(2)$ QCD. We evaluate the critical point and the critical exponents from each Polyakov loop in the maximally abelian gauge using the finite-size scaling analysis. Abelian dominance in this case is proved quantitatively. The critical point of each abelian Polyakov loop is equal to that of the non-abelian Polyakov loop within the statistical errors. Also, the critical exponents are in good agreement with those from non-abelian Polyakov loops.Comment: 14 pages, latex, 4 figure

String tension and monopoles in T≠0T \neq 0 SU(2) QCD

Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature $SU(2)$ QCD in the maximally abelian gauge. Long monopole loops alone are responsible for the behavior of the string tension in the confinement phase up to the critical $\beta_c$. Short monopole loops and photons do not contribute to the string tension. The abelian and the monopole spacial string tensions (both of which agree with the normal ones for $\beta < \beta_c$) show a $g^{4}(T) T^2$ scaling behavior in the deconfinement phase. The abelian spacial string tension is in agreement with the full one even in the deconfinement phase.Comment: 10 Pages + 1 table + 8 figures, KANAZAWA 94-1

Three topics of monopole dynamics in abelian projected QCD

Three topics about monopole dynamics after abelian projection are reported. The first is the new and detailed analyses of $SU(2)$ monopole action obtained after the block-spin transformation on the dual lattice. The $b=na(\beta)$ dependence for all couplings are well fitted with a universal curve. The distance dependence of the couplings is well reproduced by a massive propagator with the mass $m=0.8$ in unit of $b$. The second is the $SU(3)$ monopole action recently obtained. The third is new interesting gauges showing abelian and monopole dominances as in the maximally abelian gauge.Comment: Talk presented at LATTICE96(topology), 4 Pages, 7 eps figure