CRITICAL PROPERTIES OF THE QUANTUM SINE-GORDON EQUATION | |
G. M. Zhang ; H. Chen ; X. Wu | |
刊名 | Physical Review B |
1991 | |
卷号 | 43期号:16页码:13566-13571 |
关键词 | 2-dimensional coulomb gas squeezed-state approach yang-mills theory superconducting films phase-transitions quark confinement critical-behavior thirring models gauge theories field-theory |
ISSN号 | 0163-1829 |
中文摘要 | We have developed a quantum-mechanical approach to study the critical properties of the quantum sine-Gordon equation describing a massless scalar field in 1 + 1 space-time dimensions with interaction density proportional to cos(beta-0-phi). The main feature of the present theory is to find an appropriate starting point for perturbation expansion, which can directly treat the infrared divergences encountered in the conventional perturbation theory. Exact critical conditions for the phase transition of the model are derived; and the quantum sine-Gordon Hamiltonian is found to correspond exactly to a free-field model. Near the critical regime, a gap will open near zero momentum in the excitation spectrum, and the corresponding ground-state wave function is a pairing quasiparticle state, analogous to the BCS superconducting state. It is proved that this ground state will possess quasi-long-range and quasi-off-diagonal long-range correlations. Comparisons with the Kosterlitz-Thouless classical theory of the two-dimensional Coulomb gas are also made. |
原文出处 | |
公开日期 | 2012-04-14 |
内容类型 | 期刊论文 |
源URL | [http://ir.imr.ac.cn/handle/321006/39499] |
专题 | 金属研究所_中国科学院金属研究所 |
推荐引用方式 GB/T 7714 | G. M. Zhang,H. Chen,X. Wu. CRITICAL PROPERTIES OF THE QUANTUM SINE-GORDON EQUATION[J]. Physical Review B,1991,43(16):13566-13571. |
APA | G. M. Zhang,H. Chen,&X. Wu.(1991).CRITICAL PROPERTIES OF THE QUANTUM SINE-GORDON EQUATION.Physical Review B,43(16),13566-13571. |
MLA | G. M. Zhang,et al."CRITICAL PROPERTIES OF THE QUANTUM SINE-GORDON EQUATION".Physical Review B 43.16(1991):13566-13571. |
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