Renormalization group study of magnetic catalysis in the 3d Gross-Neveu model

Article

关键词: CHIRAL-SYMMETRY BREAKING;    D-WAVE SUPERCONDUCTORS;    HEAVY-ION COLLISIONS;    QUANTUM-FIELD THEORY;    DIMENSIONAL REDUCTION;    PHASE-TRANSITIONS;    ELECTRODYNAMICS;    EQUATION;   

DOI  :  10.1103/PhysRevB.85.195417

来源: SCIE

【 摘 要 】

Magnetic catalysis describes the enhancement of symmetry-breaking quantum fluctuations in chirally symmetric quantum field theories by the coupling of fermionic degrees of freedom to a magnetic background configuration. We use the functional renormalization group to investigate this phenomenon for interacting Dirac fermions propagating in (2 + 1)-dimensional space-time, described by the Gross-Neveu model. We identify pointlike operators up to quartic fermionic terms that can be generated in the renormalization group flow by the presence of an external magnetic field. We employ the beta function for the fermionic coupling to quantitatively analyze the field dependence of the induced spectral gap. Within our pointlike truncation, the renormalization group flow provides a simple picture for magnetic catalysis.

【 授权许可】

Free