Massless phases and symmetry restoration in abelian gauge theories and spin systems

Massless phases and symmetry restoration in abelian gauge theories and spin systems
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阿贝尔规范理论和自旋系统中的无质量相和对称性恢复

DOI:
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发表时间:
1982
期刊:
影响因子:
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通讯作者:
T. Spencer
T. Spencer
中科院分区:
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文献类型:
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作者:
J. Fröhlich;T. Spencer

文献摘要

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我们给出了一个新的初等证明,证明了在四维U(1)格点规范理论中存在反禁闭到无质量(QED)相的跃迁,并且在四维ℤN模型中存在中间QED相,伴随着局域U(1)不变性的动态恢复。我们的方法也可以用来证明在三维或更多维的XY模型中,在三维和四维阿贝尔希格斯模型中,以及在允许局部阿贝尔规范不变的更一般的模型中,相变的存在。
We give a new, elementary proof for the existence of a deconfining transition to a massless (QED) phase in the four-dimensionalU(1) lattice gauge theory and of an intermediate QED phase, accompanied by dynamical restoration of localU(1) invariance, in the four dimensional ℤN models, withN large. Our methods can also be used to prove the existence of a phase transition in theXY model in three or more dimensions, in three- and four-dimensional abelian Higgs models, and in more general models admitting some local, abelian gauge invariance.