Fermionic zero modes on domain walls
Jul, 2000Citations per year
Abstract:
We study fermionic zero modes in the domain wall background. The fermions have Dirac and left- and right-handed Majorana mass terms. The source of the Dirac mass term is the coupling to a scalar field . The source of the Majorana mass terms could also be the coupling to a scalar field or a vacuum expectation value of some other field acquired in a phase transition well above the phase transition of the field . We derive the fermionic equations of motion and find the necessary and sufficient conditions for a zero mode to exist. We also find the solutions numerically. In the absence of the Majorana mass terms, the equations are solvable analytically. In the case of massless fermions a zero energy solution exists and we show that although this mode is not discretely normalizable it is Dirac delta function normalizable and should be viewed as part of a continuum spectrum rather than as an isolated zero mode.- fermion: zero mode
- domain wall
- mass: Majorana
- field theory: scalar
- field equations: solution
- numerical calculations
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