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A note on the path integral representation for Majorana fermions | | Andres Greco
; | | Date: |
3 Feb 2016 | | Abstract: | Majorana fermions are currently of huge interest in the context of
nanoscience and condensed matter physics. Different to usual fermions, Majorana
fermions have the property that the particle is its own anti-particle thus,
they must be described by real fields. Mathematically, this property makes
nontrivial the quantization of the problem due, for instance, to the absence of
a Wick-like theorem. In view of the present interest on the subject, it is
important to develop different theoretical approaches in order to study
problems where Majorana fermions are involved. In this note we show that
Majorana fermions can be studied in the context of field theories for
constrained systems. Using the Faddeev-Jackiw formalism for quantum field
theories with constraints, we derived the path integral representation for
Majorana fermions. In order to show the validity of the path integral we apply
it to an exactly solvable problem. This application also shows that it is
rather simple to perform systematic calculations on the basis of the present
framework. | | Source: | arXiv, 1602.1311 | | Services: | Forum | Review | PDF | Favorites | |
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