On the random vector potential model in two dimensions |
| |
| Affiliation: | 1. Institute for Quantum Life Science, Quantum Life and Medical Science Directorate, National Institutes for Quantum Science and Technology (QST), Inage-ku, Chiba, 263-8555, Japan;2. Graduate School of Pharmaceutical Sciences, Hokkaido University, Sapporo, Hokkaido, 060-0812, Japan;3. Institute of Biomedical Science, Kansai Medical University, Hirakata, Osaka, 573-1010, Japan;4. Institute for Advanced Synchrotron Light Source, Foundational Quantum Technology Research Directorate, National Institutes for Quantum Science and Technology (QST), Sendai, Miyagi, 980-8579, Japan;1. Department of Chemistry and Biochemistry, Northern Illinois University, DeKalb, IL 60115, USA;2. Department of Chemistry and Centre for Research in Mass Spectrometry, York University, Toronto, Ontario, Canada M3J 1P3;3. Department of Chemistry and Biochemistry, University of Windsor, Windsor, Ontario, Canada N9B 3P4;1. ARC Centre of Excellence for Electromaterials Science, Research School of Chemistry, The Australian National University, Canberra, ACT, Australia;2. Chemical Engineering Department, Ondokuz Mayıs University, Samsun, Turkey;1. Department of Polymer Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China;2. Department of Chemistry and Centre for Atomic Engineering of Advanced Materials, Anhui University, Hefei 230601, China |
| |
| Abstract: | The random vector potential model describes massless fermions coupled to a quenched random gauge field. We study its abelian and non-abelian versions. The abelian version can be completely solved using bosonization. We analyse the non-abelian model using its supersymmetric formulation and show, by a perturbative renormalization group computation, that it is asymptotically free at large distances. We also show that all the quenched chiral current correlation functions can be computed exactly, without using the replica trick or the supersymmetric formulation, but using an exact expression for the effective action for any sample of the random gauge field. These chiral correlation functions are purely algebraic. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
