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arXiv 0811.2025hep-lat
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SU(N)规范理论中的高温禁闭

High Temperature Confinement in SU(N) Gauge Theories

Michael C. Ogilvie, Peter N. Meisinger

摘要:

SU(N)规范理论,扩展伴随费米子具有周期性的边界条件,是在高温下限制足够轻的费米子质量m。格点模拟表明,该束缚区与低温纯SU(N)规范理论的束缚区是光滑连接的。在高温封闭区,Polyakov圈的单圈有效势存在一个Z(N)对称的封闭极小值。与波利亚科夫圈相关的弦张力是m/T的光滑函数。在磁区,波利雅科夫环扮演着类似于希格斯场的角色,导致SU(N)破缺为U(1)^{N-1}。这又产生了一个有效的理论,其中磁单极子引起空间威尔逊圈的弦张力。这些弦的张力可以用半经典方法计算。对于高温区域,有许多分析预测可以通过晶格模拟来检验,但是晶格工作对于探索从该区域到纯规范理论的低温限制行为的交叉将是至关重要的。

英文摘要:

SU(N) gauge theories, extended with adjoint fermions having periodic boundary conditions, are confining at high temperature for sufficiently light fermion mass m. Lattice simulations indicate that this confining region is smoothly connected to the confining region of low-temperature pure SU(N) gauge theory. In the high temperature confining region, the one-loop effective potential for Polyakov loops has a Z(N)-symmetric confining minimum. String tensions associated with Polyakov loops are smooth functions of m/T. In the magnetic sector, the Polyakov loop plays a role similar to a Higgs field, leading to a breaking of SU(N) to U(1)^{N-1}. This is turn yields an effective theory where magnetic monopoles give rise to string tensions for spatial Wilson loops. These string tensions are calculable semiclassically. There are many analytical predictions for the high-temperature region that can be tested by lattice simulations, but lattice work will be crucial for exploring the crossover from this region to the low-temperature confining behavior of pure gauge theories.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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