Planar Limit of Orientifold Field Theories and Emergent Center Symmetry

Armoni, Adi ; Shifman, Mikhail ; Unsal, Mithat

关键词: CRITICAL TEMPERATURE;    DIMENSIONS;    FERMIONS;    FIELD THEORIES;    LAGRANGIAN FUNCTION;    SYMMETRY Theory-HEP;    HEPTH;   

DOI  :  10.2172/920593
RP-ID  :  SLAC-PUB-13032
PID  :  OSTI ID: 920593
Others  :  Other: arXiv:0712.0672
Others  :  TRN: US0801982

学科分类：物理（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

We consider orientifold field theories (i.e. SU(N) Yang-Mills theories with fermions in the two-index symmetric or antisymmetric representations) on R{sub 3} x S{sub 1} where the compact dimension can be either temporal or spatial. These theories are planar equivalent to supersymmetric Yang-Mills. The latter has Z{sub N} center symmetry. The famous Polyakov criterion establishing confinement-deconfinement phase transition as that from Z{sub N} symmetric to Z{sub N} broken phase applies. At the Lagrangian level the orientifold theories have at most a Z{sub 2} center. We discuss how the full Z{sub N} center symmetry dynamically emerges in the orientifold theories in the limit N {yields} {infinity}. In the confining phase the manifestation of this enhancement is the existence of stable k-strings in the large-N limit of the orientifold theories. These strings are identical to those of supersymmetric Yang-Mills theories. We argue that critical temperatures (and other features) of the confinement-deconfinement phase transition are the same in the orientifold daughters and their supersymmetric parent up to 1/N corrections. We also discuss the Abelian and non-Abelian confining regimes of four-dimensional QCD-like theories.