Title: One loop reduced QED for massive fermions within an innovative formalism

Abstract

We carry out a detailed study of the three-point fermion-photon interaction vertex at one-loop order for massive fermions in reduced quantum electrodynamics. This calculation is carried out in arbitrary covariant gauges and space-time dimensions within a recently proposed innovative approach based upon an efficient combination of the first- and second-order formalisms of quantum electrodynamics. This procedure provides a natural decomposition of the vertex into its components which are longitudinal and transverse to the photon momentum. It also separates the spin and scalar degrees of freedom of a fermion interacting electromagnetically, allowing us to readily establish the gauge independence of the Pauli form factor and compute it in an expeditious manner. All incoming and outgoing momenta are taken off shell at the outset. However, we present results for cases of particular kinematic interest whenever required. For the sake of completeness, we also provide expressions for the massive fermion self-energy and photon vacuum polarization, verifying known expressions for massless reduced quantum electrodynamics and computing the renormalization constants $$\mathscr{Z}_1$$, $$\mathscr{Z}_2$$ and $$\mathscr{Z}_3$$. As we provide general expressions for the computed Green functions, we readily reproduce and confirm the results for standard quantum electrodynamics. Comparing the two cases, we infer that the Pauli form factor for reduced quantum electrodynamics is 8/3 times that for the standard QED in four dimensions, implying a higher Land´e g-factor. We expect our perturbative calculation of the fermion-photon vertex to serve as a guide for any nonperturbative construction of this Green function, invariably required in the Schwinger-Dyson equation studies of the subject. We also comment on the Landau-Khalatnikov-Fradkin transformations of the massive fermion propagator and provide a comparison with its one-loop calculation.

Authors:

Guzmán, Victor Miguel Banda ;

• Search DOE PAGES for author "Guzmán, Victor Miguel Banda"
• Search DOE PAGES for ORCID "0000-0002-7508-5905"

Bashir, Adnan ;

• Search DOE PAGES for author "Bashir, Adnan"
• Search DOE PAGES for ORCID "0000-0003-3183-7316"

Albino, Luis; Rodríguez-Tzintzun, Dania

• Search DOE PAGES for author "Rodríguez-Tzintzun, Dania"
• Search DOE PAGES for ORCID "0009-0000-1100-331X"

Publication Date:

Thu Nov 30 00:00:00 EST 2023

Research Org.:

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

Sponsoring Org.:

USDOE; National Council of Humanities, Science and Technology (Mexico); Coordination of Scientific Research of the Universidad Michoacana de San Nicolás de Hidalgo

OSTI Identifier:

2222932

Alternate Identifier(s):

OSTI ID: 2229623

Report Number(s):

JLAB-THY-23-3973; DOE/OR/23177-7310
Journal ID: ISSN 2470-0010; PRVDAQ; 096036

Grant/Contract Number:  

AC05-6OR23177; 4.10

Resource Type:

Published Article

Journal Name:

Physical Review. D.

Additional Journal Information:

Journal Name: Physical Review. D. Journal Volume: 108 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:

American Physical Society

Country of Publication:

United States

Language:

English

Subject:

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; perturbation theory; quantum electrodynamics