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arXiv 1202.3109cond-mat.str-elhep-th
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三维规范理论中狄拉克费米子的非常规行为

Unconventional behavior of Dirac fermions in three-dimensional gauge theory

Jing Wang, Guo-Zhu Liu

摘要:

研究了二维空间中无质量狄拉克费米子与U(1)规范场相互作用的非常规行为。在化学势为零时,规范相互作用的纵向分量和横向分量都是长程的。没有费米子速度重整化,因为系统尊重洛伦兹不变性。在有限的化学势下,洛伦兹不变性被有限的费米面所破坏。纵向规范相互作用被静态屏蔽,变得不重要,而横向规范相互作用仍然是长程的,并导致费米子速度的奇异重整化。用重整化群方法计算了费米子速度的反常维数。然后,我们研究了奇异速度重整化对几个物理量的影响,并表明它们在零和有限化学势下表现出不同的行为。

英文摘要:

We study the unconventional behavior of massless Dirac fermions due to interaction with a U(1) gauge field in two spatial dimensions. At zero chemical potential, the longitudinal and transverse components of gauge interaction are both long-ranged. There is no fermion velocity renormalization since the system respects Lorentz invariance. At finite chemical potential, the Lorentz invariance is explicitly broken by the finite Fermi surface. The longitudinal gauge interaction is statically screened and becomes unimportant, whereas the transverse gauge interaction remains long-ranged and leads to singular renormalization of fermion velocity. The anomalous dimension of fermion velocity is calculated by means of the renormalization group method. We then examine the influence of singular velocity renormalization on several physical quantities, and show that they exhibit different behavior at zero and finite chemical potential.

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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