Arxiv Selection Mar 2019

Mar 1-Mar 7 Zehan Li, Mar 8-Mar 14 Jiansong Pan, Mar 15-Mar 21 Ahmet Keles, Mar 22- Mar 28 Haiping Hu

Mar 1

arXiv:1902.06584 (cross-list from cond-mat.str-el) [pdf, ps, other]

Bosonization with background U(1) gauge field

Yuan Yao, Yoshiki Fukusumi

Comments: 9 pages, 8 figures

Subjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

Bosonization is one of the most significant frameworks to analyze fermionic systems. In this work, we propose a new bosonization of Dirac fermion coupled with U(1) background gauge field consistent with gauge invariance, global chiral anomaly matching and fermion-boson operator correspondence, either of which is not satisfied by previously developed bosonizations. The bilinear Dirac-mass term condensation paradox and its generalized form are resolved by our bosonization. This new bosonization approach to interacting systems also correctly captures the conformal characters of a significant class of critical lattice models, such as conformal dimensions and conformal anomaly of XXZ spin chain with twisted boundary condition. Our work clarifies the equivalence of fermionic flux insertion and bosonic background charge insertion for two-dimensional conformal field theory