Anomalies in string-inspired nonlocal extensions of QED

Fayez Abu-Ajamieh (Centre for High Energy Physics, Indian Institute of Science, Bangalore, India) ; Pratik Chattopadhyay (School of Mathematical Sciences, University of Nottingham, Nottingham, United Kingdom) ; Anish Ghoshal (Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland) ; Nobuchika Okada (Department of Physics and Astronomy, University of Alabama, Tuscaloosa, Alabama 35487, USA)

We investigate anomalies in the class of nonlocal field theories that have been proposed as an ultraviolet completion of four-dimensional quantum field theory with generalizing the kinetic energy operators to an infinite series of higher derivatives inspired by the string field theory and ghost-free nonlocal approaches to quantum gravity. We explicitly calculate the vector and chiral anomalies in a string-inspired nonlocal extension of QED. We show that the vector anomaly vanishes as required by gauge invariance and the Ward identity. On the other hand, although the chiral anomaly vanishes to the leading order with massless fermions, it nonetheless does not vanish with the massive fermions and we calculate it to the leading order in the scale of nonlocality. We also calculate the nonlocal vector and axial currents explicitly and present an illustrative example by applying our results to the decay of π0γγ.

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      "source": "APS", 
      "value": "We investigate anomalies in the class of nonlocal field theories that have been proposed as an ultraviolet completion of four-dimensional quantum field theory with generalizing the kinetic energy operators to an infinite series of higher derivatives inspired by the string field theory and ghost-free nonlocal approaches to quantum gravity. We explicitly calculate the vector and chiral anomalies in a string-inspired nonlocal extension of QED. We show that the vector anomaly vanishes as required by gauge invariance and the Ward identity. On the other hand, although the chiral anomaly vanishes to the leading order with massless fermions, it nonetheless does not vanish with the massive fermions and we calculate it to the leading order in the scale of nonlocality. We also calculate the nonlocal vector and axial currents explicitly and present an illustrative example by applying our results to the decay of <math><msup><mi>\u03c0</mi><mn>0</mn></msup><mo>\u2192</mo><mi>\u03b3</mi><mi>\u03b3</mi></math>."
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Published on:
15 April 2024
Publisher:
APS
Published in:
Physical Review D , Volume 109 (2024)
Issue 7
DOI:
https://doi.org/10.1103/PhysRevD.109.076013
arXiv:
2307.01589
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: