Abstract
We have determined the width of the flux tube for several temperatures and distances using four different fit functions in order to determine the appropriate function that fits the data of the middle transverse distribution of flux tube with the dynamical fermions. Our results have revealed that only one fitting function cannot determine the width of the flux tube at the given temperatures and distances. We conclude that appropriate fit functions are a four coefficient function where R < 0.8 fm and where Gaussian function is R > 0.8 fm.
Highlights
We have determined the width of the flux tube for several temperatures and distances using four different fit functions in order to determine the appropriate function that fits the data of the middle transverse distribution of flux tube with the dynamical fermions
We can find an appropriate fit function to determine the width of the flux tube with dynamical fermions
We have determined the width of the flux tube in full QCD with dynamical fermions using four fit functions
Summary
The flux tube between quark and antiquark is extracted from the correlation of the plaquette with the Polyakov loops. The physical flux tube is defined by a spatial distribution of energy density via εε = EE22 + BB22. To compute the physical width of the flux tube, we fit the energy density data in mediator plane with appropriate fit function, F(x⊥). With our fit, we calculate other quantitative parameters using the fitting coefficients, considering the normalized fit function, F(x⊥)-k, as an energy density data, the root mean square width of the flux tube [3], DDε2ε aa. Fitting techniques are commonly used in lattice gauge theory and in computing the width of the flux tube. We fitted the middle transverse data of the energy density with the normalized exponential fit function proposed in Ref. Let's analytically calculate the width of the flux tube from equation (2) using this fit function equation (3). The fitting results of equation (5) and the square root width of equation (6)
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
