Nuclear axial current operators to fourth order in chiral effective field theory
Abstract
We present the complete derivation of the nuclear axial charge and current operators as well as the pseudoscalar operators to fourth order in the chiral expansion relative to the dominant onebody contribution using the method of unitary transformation. We demonstrate that the unitary ambiguity in the resulting operators can be eliminated by the requirement of renormalizability and by matching of the pionpole contributions to the nuclear forces. We give expressions for the renormalized single, two and threenucleon contributions to the charge and current operators and pseudoscalar operators including the relevant relativistic corrections. We also verify explicitly the validity of the continuity equation.
 Authors:
 Institut für Theoretische Physik II, RuhrUniversität Bochum, D44780 Bochum (Germany)
 (United States)
 HelmholtzInstitut für Strahlen und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D53115 Bonn (Germany)
 (Germany)
 Publication Date:
 OSTI Identifier:
 22617486
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics; Journal Volume: 378; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHIRALITY; CONTINUITY EQUATIONS; FIELD THEORIES; MATHEMATICAL OPERATORS; NUCLEAR FORCES; PSEUDOSCALARS; RELATIVISTIC RANGE; RENORMALIZATION
Citation Formats
Krebs, H., Email: hermann.krebs@rub.de, Epelbaum, E., Email: evgeny.epelbaum@rub.de, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93016, Meißner, U.G., Email: meissner@hiskp.unibonn.de, Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D52425 Jülich, and JARA  High Performance Computing, Forschungszentrum Jülich, D52425 Jülich. Nuclear axial current operators to fourth order in chiral effective field theory. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2017.01.021.
Krebs, H., Email: hermann.krebs@rub.de, Epelbaum, E., Email: evgeny.epelbaum@rub.de, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93016, Meißner, U.G., Email: meissner@hiskp.unibonn.de, Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D52425 Jülich, & JARA  High Performance Computing, Forschungszentrum Jülich, D52425 Jülich. Nuclear axial current operators to fourth order in chiral effective field theory. United States. doi:10.1016/J.AOP.2017.01.021.
Krebs, H., Email: hermann.krebs@rub.de, Epelbaum, E., Email: evgeny.epelbaum@rub.de, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93016, Meißner, U.G., Email: meissner@hiskp.unibonn.de, Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D52425 Jülich, and JARA  High Performance Computing, Forschungszentrum Jülich, D52425 Jülich. Wed .
"Nuclear axial current operators to fourth order in chiral effective field theory". United States.
doi:10.1016/J.AOP.2017.01.021.
@article{osti_22617486,
title = {Nuclear axial current operators to fourth order in chiral effective field theory},
author = {Krebs, H., Email: hermann.krebs@rub.de and Epelbaum, E., Email: evgeny.epelbaum@rub.de and Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93016 and Meißner, U.G., Email: meissner@hiskp.unibonn.de and Institut für Kernphysik, Institute for Advanced Simulation, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D52425 Jülich and JARA  High Performance Computing, Forschungszentrum Jülich, D52425 Jülich},
abstractNote = {We present the complete derivation of the nuclear axial charge and current operators as well as the pseudoscalar operators to fourth order in the chiral expansion relative to the dominant onebody contribution using the method of unitary transformation. We demonstrate that the unitary ambiguity in the resulting operators can be eliminated by the requirement of renormalizability and by matching of the pionpole contributions to the nuclear forces. We give expressions for the renormalized single, two and threenucleon contributions to the charge and current operators and pseudoscalar operators including the relevant relativistic corrections. We also verify explicitly the validity of the continuity equation.},
doi = {10.1016/J.AOP.2017.01.021},
journal = {Annals of Physics},
number = ,
volume = 378,
place = {United States},
year = {Wed Mar 15 00:00:00 EDT 2017},
month = {Wed Mar 15 00:00:00 EDT 2017}
}
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Nuclear axial currents in chiral effective field theory
Twonucleon axial charge and current operators are derived in chiral effective field theory up to one loop. The derivation is based on timeordered perturbation theory and accounts for cancellations between the contributions of irreducible diagrams and the contributions owing to nonstatic corrections from energy denominators of reducible diagrams. Ultraviolet divergencies associated with the loop corrections are isolated in dimensional regularization. The resulting axial current is finite and conserved in the chiral limit, while the axial charge requires renormalization. As a result, a complete set of contact terms for the axial charge up to the relevant order in the power countingmore »Cited by 15 
Nuclear axial currents in chiral effective field theory
In this study, twonucleon axial charge and current operators are derived in chiral effective field theory up to one loop. The derivation is based on timeordered perturbation theory and accounts for cancellations between the contributions of irreducible diagrams and the contributions owing to nonstatic corrections from energy denominators of reducible diagrams. Ultraviolet divergencies associated with the loop corrections are isolated in dimensional regularization. The resulting axial current is finite and conserved in the chiral limit, while the axial charge requires renormalization. A complete set of contact terms for the axial charge up to the relevant order in the power countingmore »Cited by 15 
Vectoraxialvector mixing from a chiral effective field theory at finite temperature
We study the vectoraxialvector mixing in a hot medium and its evolution toward the chiral phase transition using different symmetry restoration scenarios based on the generalized hidden local symmetry framework. We show that the presence of the a{sub 1} meson reduces the vector spectral function around the {rho} meson mass and enhances it around the a{sub 1} meson mass. The coupling strength of a{sub 1} to {rho} and {pi} vanishes at the critical temperature due to the degenerate {rho}a{sub 1} masses. This feature holds rigorously in the chiral limit and still stays intact to good approximation for the physical pionmore »