Semiclassical Calculation of the Chiral Magnetic Effect in Even Spacetime Dimensions
Ömer Faruk Dayı
Abstract: A formalism of the classical chiral kinetic theory in even d+1 dimensions yielding both the chiral anomaly and chiral magnetic effect in external electromagnetic fields will be presented. Fitrst, the definition of the Berry gauge fields for Weyl Hamiltonians in general is recalled. Then employing differential forms, the Hamiltonian methods are extended to cover the symplectic forms which are matrix valued in spin space. Within this new formalism a simple method of finding the path integral measure and the chiral current in the presence of external electromagnetic fields is presented.