Nonlocal Effective Field Theory and Its Applications

Wang, Ping; Gao, Zhengyang; He, Fangcheng; Ji, Chueng-Ryong; Melnitchouk, Wally; Salamu, Yusupujiang

doi:10.3390/sym18010031

Nonlocal Effective Field Theory and Its Applications

Journal Article · Tue Dec 23 00:00:00 EST 2025 · Symmetry

DOI:https://doi.org/10.3390/sym18010031· OSTI ID:3016196

^[1]; ^[1]; ^[2]; ^[3]; ^[4]; Salamu, Yusupujiang ^[5]

Chinese Academy of Sciences (CAS), Beijing (China). Inst. of High Energy Physics (IHEP); University of Chinese Academy of Sciences, Beijing (China)
Stony Brook University, NY (United States)
North Carolina State University, Raleigh, NC (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Kashi University, Xinjiang (China)

We review recent applications of nonlocal effective field theory, particularly focusing on nonlocal chiral effective theory and nonlocal quantum electrodynamics (QED), as well as an extension of nonlocal effective theory to curved spacetime. For the chiral effective theory, we discuss the calculation of generalized parton distributions (GPDs) of the nucleon at nonzero skewness, along with the corresponding gravitational (or mechanical) form factors, within the convolution framework. In the QED application, we extend the nonlocal formulation to construct the most general nonlocal QED interaction, in which both the propagator and fundamental QED vertex are modified due to the nonlocal Lagrangian, while preserving the Ward–Green–Takahashi identities. For consistency with the modified propagator, a solid quantization is proposed, and the nonlocal QED is applied to explain the lepton g−2 anomalies without the introduction of new particles beyond the standard model. Finally, with an extension of the chiral effective action to curved spacetime, we investigate the nonlocal energy–momentum tensor and gravitational form factors of the nucleon with a nonlocal pion–nucleon interaction.

View Accepted Manuscript (DOE)

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: National Natural Science Foundation (NSFC); National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; FG02-03ER41260; SC0023646

OSTI ID:: 3016196

Report Number(s):: DOE/OR/23177--8012; JLAB-THY--25-4557; arXiv:2509.25657

Journal Information:: Symmetry, Journal Name: Symmetry Journal Issue: 1 Vol. 18; ISSN 2073-8994

Publisher:: MDPICopyright Statement

Country of Publication:: United States

Language:: English

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Nonlocal chiral contributions to generalized parton distributions of the proton at nonzero skewness

Journal Article · Sun Sep 29 20:00:00 EDT 2024 · Physical Review D · OSTI ID:2449645

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chiral effective field theory
g − 2 anomaly
generalized parton distributions
gravitational form factors
nonlocal quantum electrodynamics

Nonlocal Effective Field Theory and Its Applications

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