Document Type
Article
Publication Date
8-15-2018
Publication Title
Physical Review D
Publisher
APS Physics
Keywords
Adjoint Fermions, Asymptotic Theory, QCD
Abstract
Two-dimensional QCD with adjoint fermions has many attractive features, yet its single-particle content remains largely unknown. To lay the foundation for a crucially improved approximation of the theory’s spectrum, we developed a method to find the basis of eigenstates using the symmetry structure of the asymptotic theory where pair production is disallowed. This method produces complete sets of multidimensional harmonic functions for the massless and the massive theory. Previously only part of such a basis was known. The method presented here should be applicable to other theories and has the promise of factoring out the long-range Coulomb-type part of interactions. The role of pair production and implications for the bosonized theory in the case of adjoint QCD2 are discussed.
Volume
98
Issue
4
Repository Citation
Trittmann, Uwe, "A harmonic solution for two-dimensional adjoint QCD" (2018). Physics Faculty Scholarship. 24.
https://digitalcommons.otterbein.edu/phys_fac/24
DOI
https://doi.org/10.1103/PhysRevD.98.045011
Version
Publisher's Version
Publisher's Statement
Reuse & Permissions
It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 Internationallicense. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.
Peer Reviewed
1