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Title: Equivalence of Pion Loops in Equal-Time and Light-Front Dynamics

Abstract

We demonstrate the equivalence of the light-front and equal-time formulations of pionic corrections to nucleon properties. As a specific example, we consider the self-energy $$\Sigma$$ of a nucleon dressed by pion loops, for both pseudovector and pseudoscalar $$\pi NN$$ couplings. We derive the leading and next-to-leading nonanalytic behavior of $$\Sigma$$ on the light-front, and show explicitly their equivalence in the rest frame and infinite momentum frame in equal-time quantization, as well as in a manifestly covariant formulation.

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
978461
Report Number(s):
JLAB-THY-09-1011; DOE/OR/23177-0772
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1002981
DOE Contract Number:  
DOE/OR/23177
Resource Type:
Journal Article
Journal Name:
Phys. Rev. D
Additional Journal Information:
Journal Volume: 80; Journal Issue: 05; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NUCLEONS; PIONS; PSEUDOSCALARS; QUANTIZATION; SELF-ENERGY

Citation Formats

Chueng-Ryong Ji, W. Melnitchouk, A. W. Thomas. Equivalence of Pion Loops in Equal-Time and Light-Front Dynamics. United States: N. p., 2009. Web. doi:10.1103/PhysRevD.80.054018.
Chueng-Ryong Ji, W. Melnitchouk, A. W. Thomas. Equivalence of Pion Loops in Equal-Time and Light-Front Dynamics. United States. https://doi.org/10.1103/PhysRevD.80.054018
Chueng-Ryong Ji, W. Melnitchouk, A. W. Thomas. 2009. "Equivalence of Pion Loops in Equal-Time and Light-Front Dynamics". United States. https://doi.org/10.1103/PhysRevD.80.054018. https://www.osti.gov/servlets/purl/978461.
@article{osti_978461,
title = {Equivalence of Pion Loops in Equal-Time and Light-Front Dynamics},
author = {Chueng-Ryong Ji, W. Melnitchouk, A. W. Thomas},
abstractNote = {We demonstrate the equivalence of the light-front and equal-time formulations of pionic corrections to nucleon properties. As a specific example, we consider the self-energy $\Sigma$ of a nucleon dressed by pion loops, for both pseudovector and pseudoscalar $\pi NN$ couplings. We derive the leading and next-to-leading nonanalytic behavior of $\Sigma$ on the light-front, and show explicitly their equivalence in the rest frame and infinite momentum frame in equal-time quantization, as well as in a manifestly covariant formulation.},
doi = {10.1103/PhysRevD.80.054018},
url = {https://www.osti.gov/biblio/978461}, journal = {Phys. Rev. D},
issn = {1550-7998},
number = 05,
volume = 80,
place = {United States},
year = {Tue Sep 01 00:00:00 EDT 2009},
month = {Tue Sep 01 00:00:00 EDT 2009}
}