One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
Open Access
- 14 September 2021
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 104 (5), 056013
- https://doi.org/10.1103/physrevd.104.056013
Abstract
The renormalized contribution of fermions to the curvature masses of vector and axial-vector mesons is derived with two different methods at leading order in the loop expansion applied to the ()-flavor constituent quark-meson model. The corresponding contribution to the curvature masses of the scalar and pseudoscalar mesons, already known in the literature, is rederived in a transparent way. The temperature dependence of the curvature mass of various (axial-)vector modes obtained by decomposing the curvature mass tensor is investigated along with the (axial-)vector–(pseudo)scalar mixing. All fermionic corrections are expressed as simple integrals that involve at finite temperature only the Fermi-Dirac distribution function modified by the Polyakov-loop degrees of freedom. The renormalization of the (axial-)vector curvature mass allows us to lift a redundancy in the original Lagrangian of the globally symmetric extended linear sigma model, in which terms already generated by the covariant derivative were reincluded with different coupling constants.
Funding Information
- Nemzeti Kutatási, Fejlesztési és Innovaciós Alap (FK 131982)
- Magyar Tudományos Akadémia
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