Tricritical behavior in the Chern-Simons-Ginzburg-Landau theory of self-dual Josephson junction arrays
Tricritical behavior in the Chern-Simons-Ginzburg-Landau theory of self-dual Josephson junction arrays
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自对偶约瑟夫森结阵列 Chern-Simons-Ginzburg-Landau 理论中的三临界行为
DOI：
10.1103/physrevd.97.096015
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发表时间：
2018
影响因子：
5
通讯作者：
S. Sakhi
中科院分区：
文献类型：
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作者：
S. Sakhi
本文研究了具有六阶势的三维非对称时空模型中标量场与动态规范场耦合的混合Chern-Simons项的相结构。利用一种大规模的方法，我们计算了各种耦合的量子有效势和重正化群函数，这些耦合是以混合Chern-Simons系数表示的，它们都是次领先阶的展开式。该模型有一个阶段，表现出自发破缺的规模对称性伴随着一个无质量的光子，这是一个戈德斯通模式。我们明确地表明，各种六次耦合β函数消失，以领先的顺序在theblancement，然而，在下一个顺序在theblancement，他们表现出非平凡的运行，我们分析明确的混合陈-西蒙斯系数。我们证明了规范波动分裂的beta函数的零点，并产生各种非平凡的不动点。这些不动点的稳定性和重整化群改进的有效势的正性的要求也进行了检查。我们的研究确定了一个窗口中的参数空间的混合陈-西蒙斯系数的重整化群流有一个稳定的红外固定点的标度不变性恢复。
We examine the phase structure of a-symmetric model in three dimensional space-time with a potential of sixth order in the scalar fields coupled to dynamic gauge fields with a mixed Chern-Simons term. Using a largetechnique, we compute the quantum effective potential and the renormalization group functions of the various couplings to the next-to-leading order of theexpansion in terms of the mixed Chern-Simons coefficient. The model has a phase which exhibits spontaneous breaking of scale symmetry accompanied by a massless dilaton which is a Goldstone mode. We explicitly show that the various sextic couplings beta functions vanish to leading order in theexpansion; however, at the next order in theexpansion, they exhibit nontrivial running that we analyze explicitly in terms of the mixed Chern–Simons coefficient. We demonstrate that the gauge fluctuations split the zeros of the beta functions and generate a variety of nontrivial fixed points. The stability of these fixed points and the requirement of the positivity of the renormalization group improved effective potential are also examined. Our study identifies a window in the parameter space of the mixed Chern-Simons coefficient where the renormalization group flow has a stable infrared fixed point where scale invariance is recovered.