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A random vortex world-surface model for the infrared sector of SU(4)Yang-Mills theory is constructed, focusing on the confinement properties andthe behavior at the deconfinement phase transition. Although the correspondingdata from lattice Yang-Mills theory can be reproduced, the model requires amore complex action and considerably more tuning than the SU(2) and SU(3) casesstudied previously. Its predictive capabilities are accordingly reduced. Thisbehavior has a definite physical origin, which is elucidated in detail in thepresent work. As the number of colors is raised in Yang-Mills theory, thecorresponding infrared effective vortex description cannot indefinitelycontinue to rely on dynamics determined purely by vortex world-surfacecharacteristics; additional color structures present on the vortices begin toplay a role. As evidenced by the modeling effort reported here, definitesignatures of this behavior appear in the case of four colors.Comment: 24 pages, 7 figures containing 8 ps file

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Center vortex model for the infrared sector of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>Yang-Mills theory: String tensions and deconfinement transition

Center vortex model for the infrared sector ofSU(4)Yang-Mills theory: String tensions and deconfinement transition