- Open Access
- Access by Xinjiang University
Chiral anomaly calculation in the extended coupled Rarita-Schwinger model
Phys. Rev. D 99, 095037 – Published 28 May, 2019
DOI: https://doi.org/10.1103/PhysRevD.99.095037
Abstract
We recalculate the chiral anomaly in the Abelian gauge model in which a field is directly coupled to a Rarita-Schwinger field, using the extended theory in which there is an exact fermionic gauge invariance. Since the standard gauge fixing and ghost analysis applies to this theory, the ghost contribution to the chiral anomaly is times the standard chiral anomaly for . Calculation of the fermion loop Feynman diagrams contributing to the coupled model anomaly gives a result of 6 times the standard anomaly, so the total anomaly is 5 times the standard anomaly. This agrees with the result obtained from the unextended model taking the ghost contribution there as 0, corresponding to a nonpropagating ghost arising from exponentiating the second class constraint determinant, together with the fermion loop anomaly contribution in the unextended model of 5 times the standard anomaly.
Physics Subject Headings (PhySH)
See Also
Analysis of a gauged model with a spin- field directly coupled to a Rarita-Schwinger spin- field
Article Text
References (11)
- S. L. Adler, Phys. Rev. D 92, 085022 (2015).
- S. L. Adler, M. Henneaux, and P. Pais, Phys. Rev. D 96, 085005 (2017).
- S. L. Adler, Phys. Rev. D 97, 045014 (2018).
- N. K. Nielsen, Nucl. Phys. B140, 499 (1978); L. Alvarez-Gaumé and E. Witten, B234, 269 (1984).
- D. J. Gross and R. Jackiw, Phys. Rev. D 6, 477 (1972).
- C. Bouchiat, J. Iliopoulos, and Ph. Meyer, Phys. Lett. 38B, 519 (1972).
- R. Jackiw, in Lectures on Current Algebra and Its Applications, edited by S. B. Treiman, R. Jackiw, and D. J. Gross (Princeton University Press, Princeton, 1972).
- V. Shtabovenko, R. Mertig, and F. Orellana, Comput. Phys. Commun. C 207, 432 (2016); R. Mertig, M. Böhm, and A. Denner, Comput. Phys. Commun. 64, 345 (1991).
- M. J. Duff, Ultraviolet divergences in extended supergravity, in Supergravity ’81, edited by S. Ferrara and J. G. Taylor (Cambridge University Press, Cambridge, England, 1982), p. 197 (also S. Ferrara and J. G. Taylor, CERN TH. 3232, p. 41); L. Alvarez-Gaumé and E. Witten, Nucl. Phys. B234, 269 (1984); N. K. Nielsen and H. Römer, Phys. Lett. 154B, 141 (1985); S. M. Christensen and M. J. Duff, 76B, 571 (1978); Nucl. Phys. B154, 301 (1979); N. K. Nielsen, M. T. Grisaru, H. Römer, and P. Van Nieuwenhuizen, B140, 477 (1978).
- S. L. Adler, Int. J. Mod. Phys. A 29, 1450130 (2014).
- D. Z. Freedman and A. Van Proeyen, Supergravity (Cambridge University Press, Cambridge, England, 2012).
