Temperature effect on the femto-dimensional bound states

The bound state of exotic gluons with a thermal background in the framework of the projective unitary representation in the physics model at high energy interactions has been investigated. The ground and excited states of gluonic systems to describe the temperature effect of the mass spectrum have been defined. The problem of calculating the mass spectrum of coupled states based on the QFT in its broadest sense is a technique, to detect and obtain reasonable objectives and goals. The aim of this paper is to present the possible use of symplectic space in Femto-dimensional bound states at a finite temperature within strong interaction. The results can be used for describing nonzero and zero temperature mass spectra of mesons and multigluon-bound states. The problem of determining coupled state masses based on the polarization function is examined in detail. The Hamiltonian of the interaction and the structure of the bound state with the Schrödinger equation within the color-confining potential and Debye mass at finite temperature is presented and then the mass spectrum of a glueball at high energy interaction is determined. The mass spectrum of a two-gluon coupled state is calculated. The results are presented in the figures and table.