scholarly journals Relativistic center-vortex dynamics of a confining area law

2004 ◽  
Vol 69 (6) ◽  
Author(s):  
John M. Cornwall
2015 ◽  
Vol 30 (34) ◽  
pp. 1550207 ◽  
Author(s):  
Roman Höllwieser ◽  
Derar Altarawneh

We present meson–meson (Wilson loop) correlators in Z(2) center vortex models for the infrared sector of Yang–Mills theory, i.e. a hypercubic lattice model of random vortex surfaces and a continuous (2 + 1)-dimensional model of random vortex lines. In particular, we calculate quadratic and circular Wilson loop correlators in the two models, respectively, and observe that their expectation values follow the area law and show string breaking behavior. Further, we calculate the catenary solution for the two cases and try to find indications for minimal surface behavior or string surface tension leading to string constriction.


2004 ◽  
Vol 69 (6) ◽  
Author(s):  
John M. Cornwall
Keyword(s):  

PIERS Online ◽  
2005 ◽  
Vol 1 (1) ◽  
pp. 110-114
Author(s):  
Tamio Endo ◽  
Hong Zhu ◽  
Takahisa Sakurada ◽  
Ajay K. Sarkar ◽  
Masanori Okada ◽  
...  

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 253
Author(s):  
David R. Junior ◽  
Luis E. Oxman ◽  
Gustavo M. Simões

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang–Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modeling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the non-oriented center-vortex component and non-Abelian degrees of freedom when modeling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.


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