Anomalies in string-inspired nonlocal extensions of QED

Journal Article · 15 April 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.109.076013 · OSTI ID:2337551

Abu-Ajamieh, Fayez; Chattopadhyay, Pratik ; Ghoshal, Anish ; Okada, Nobuchika

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 ${\pi }^0\to \gamma \gamma$ . Published by the American Physical Society 2024

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0012447
• OSTI ID: 2337551
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 7 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English