Potential NRQED: The Positronium Case

Abstract

We discuss in detail potential NRQED (pNRQED), a previously proposed effective field theory for ultrasoft photons. The pNRQED lagrangian for the equal mass case is presented and it is shown that it correctly reproduces the positronium spectrum at order $m{\alpha }^5$. The pNRQED lagrangian for the unequal mass case is also presented at the same order. Dimensional regularization is used throughout.

20 pages, LaTeX, 1 ps file with 5 figures. One reference added. Minor changes to match with version to be published in Phys. Rev. D

References in corpus (12)

• Asymptotic expansion of Feynman integrals near threshold
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• The HQET/NRQCD Lagrangian to order alpha/m^3
• The static potential in QCD - a full Two-Loop Calculation
• The Lamb Shift in Dimensional Regularization
• Effective Field Theory and Matching in Non-Relativistic Gauge Theories
• Matching at one loop for the four-quark operators in NRQCD
• Power Counting in Dimensionally Regularized NRQCD
• Complete Result for Positronium Energy Levels at Order alpha^6 m
• The Single Photon Annihilation Contributions to the Positronium Hyperfine Splitting to Order $m_e{\alpha }^6$
• NRQED and Next-to-Leading Hyperfine Splitting in Positronium
• Renormalizing Heavy Quark Effective Theory at O(1/m_Q^3)

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