Immersion Anomaly of Dirac Operator on Surface in R^3
Matsutani, Shigeki
arXiv, 9707010 / Harvested from arXiv
Text on arXiv
In previous report (J. Phys. A (1997) 30 4019-4029), I showed that the Dirac field confined in a surface immersed in $R^3$ by means of a mass type potential is governed by the Konopelchenko-Kenmotsu-Weierstrass-Enneper equation. In this article, I quantized the Dirac field and calculated the gauge transformation which exhibits the gauge freedom of the parameterization of the surface. Then using the Ward-Takahashi identity, I showed that the expectation value of the action of the Dirac field is expressed by the Willmore functional and area of the surface.
Publié le : 1997-07-10
Classification:  Mathematical Physics 
@article{9707010,
     author = {Matsutani, Shigeki},
     title = {Immersion Anomaly of Dirac Operator on Surface in R^3},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9707010}
}

Matsutani, Shigeki. Immersion Anomaly of Dirac Operator on Surface in R^3. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9707010/