TY - JOUR
T1 - A note on C-parity conservation and the validity of orientifold planar equivalence
AU - Armoni, Adi
AU - Shifman, Mikhail
AU - Veneziano, Gabriele
N1 - Funding Information:
A.A. is supported by the PPARC advanced fellowship award. The work of M.S. is supported in part by DOE grant DE-FG02-94ER408.
PY - 2007/4/19
Y1 - 2007/4/19
N2 - We analyze the possibility of a spontaneous breaking of C-invariance in gauge theories with fermions in vector-like-but otherwise generic-representations of the gauge group. QCD, supersymmetric Yang-Mills theory, and orientifold field theories, all belong to this class. We argue that charge conjugation is not spontaneously broken as long as Lorentz invariance is maintained. Uniqueness of the vacuum state in pure Yang-Mills theory (without fermions) and convergence of the expansion in fermion loops are key ingredients. The fact that C-invariance is conserved has an interesting application to our proof of planar equivalence between supersymmetric Yang-Mills theory and orientifold field theory on R4, since it allows the use of charge conjugation to connect the large-N limit of Wilson loops in different representations.
AB - We analyze the possibility of a spontaneous breaking of C-invariance in gauge theories with fermions in vector-like-but otherwise generic-representations of the gauge group. QCD, supersymmetric Yang-Mills theory, and orientifold field theories, all belong to this class. We argue that charge conjugation is not spontaneously broken as long as Lorentz invariance is maintained. Uniqueness of the vacuum state in pure Yang-Mills theory (without fermions) and convergence of the expansion in fermion loops are key ingredients. The fact that C-invariance is conserved has an interesting application to our proof of planar equivalence between supersymmetric Yang-Mills theory and orientifold field theory on R4, since it allows the use of charge conjugation to connect the large-N limit of Wilson loops in different representations.
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U2 - 10.1016/j.physletb.2007.02.049
DO - 10.1016/j.physletb.2007.02.049
M3 - Article
AN - SCOPUS:33947618486
SN - 0370-2693
VL - 647
SP - 515
EP - 518
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 5-6
ER -