Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
Apr 28, 202328 pages
Published in:
- Nucl.Phys.B 998 (2024) 116415
- Published: Dec 10, 2023
e-Print:
- 2304.14751 [hep-ph]
DOI:
- 10.1016/j.nuclphysb.2023.116415 (publication)
View in:
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Abstract: (Elsevier B.V.)
In this work we introduce the concept of Cartan-Polyakov loops, a special subset of Polyakov loops in the fundamental and antifundamental representation of the group, and respectively, with charges . It constitutes a sufficient set of independent degrees of freedom and it is used to parametrize the thermal Wilson line. Polyakov loops not contained in this set are classified as non-Cartan-Polyakov loops. Using properties of the characteristic polynomial of the thermal Wilson line, we write a non-Cartan-Polyakov loop charge decomposition formula. This formalism allows one to readily build effective models of quarks and gluons with an arbitrary number of colors. We apply it to the Polyakov-Nambu-Jona-Lasinio model and to an effective glue model, in the mean field approximation, showing how to directly extend these models to higher values of .Note:
- 28 pages
- Wilson loop
- color
- quark
- thermal
- gluon
- Polyakov loop
- Jona-Lasinio-Nambu model
- mean field approximation
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