Interaction effects in graphene in a weak magnetic field

A weak perpendicular magnetic field, $B$, breaks the chiral symmetry of each valley in electron spectrum graphene, preserving overall Brillouin zone. We explore consequences this breaking for interaction effects graphene. In particular, we demonstrate that electron-electron lifetime acquires an anomalous $B$ dependence. Also, ballistic zero-bias anomaly, $\ensuremath{\delta}\ensuremath{\nu}(\ensuremath{\omega})$, where $\ensuremath{\omega}$ is energy measured from Fermi level, emerges at a and has form $\ensuremath{\delta}\ensuremath{\nu}(B)\ensuremath{\sim}{B}^{2}/{\ensuremath{\omega}}^{2}$. Temperature dependence magnetic-field corrections to thermodynamic characteristics graphene also anomalous. discuss experimental manifestations predicted. The microscopic origin $B$-field sensitivity extra phase acquired by wave function resulting chirality-induced pseudospin precession.