• Open Access

Generalized linear sigma model with two glueballs

Amir H. Fariborz and Renata Jora
Phys. Rev. D 98, 094032 – Published 30 November 2018

Abstract

We present a generalized linear sigma model that includes both scalar and pseudoscalar glueballs in addition to a quark-antiquark as well as a four-quark chiral nonet. Utilizing the axial and trace anomalies of QCD (at the effective mesonic level), we aim to develop the most general structure of the Lagrangian which can be used to study the interaction of quarkonia with glueballs. We then study the effect of scalar glueball on the vacuum of the model by considering a decoupling limit in which the glueball fields are decoupled from quarkonia. This determines the properties of the pure scalar glueball and builds a practical foundation for determining the model parameters when the interactions are turned on.

  • Received 23 May 2018

DOI:https://doi.org/10.1103/PhysRevD.98.094032

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Amir H. Fariborz1,* and Renata Jora2,†

  • 1Department of Matemathics/Physics, SUNY Polytechnic Institute, Utica, New York 13502, USA
  • 2National Institute of Physics and Nuclear Engineering P.O. Box MG-6, Bucharest-Magurele 077125, Romania

  • *fariboa@sunyit.edu
  • rjora@theory.nipne.ro

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Issue

Vol. 98, Iss. 9 — 1 November 2018

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