TY - JOUR
T1 - Yang-Mills theories with chiral matter at strong coupling
AU - Shifman, M.
AU - Ünsal, Mithat
PY - 2009/5/1
Y1 - 2009/5/1
N2 - Strong coupling dynamics of Yang-Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can address nonperturbative properties of chiral, nonsupersymmetric gauge theories, in particular, chiral quiver theories on S1×R3. Double-trace deformations are used to stabilize the center-symmetric vacuum. This allows one to smoothly connect small-r(S1) to large-r(S1) physics (R4 is the limiting case) where the double-trace deformations are switched off. In particular, the occurrence of the mass gap in the gauge sector and linear confinement due to bions are analytically demonstrated. We find the pattern of the chiral symmetry realization which depends on the structure of the monopole-ring operators, a novel class of topological excitations. The deformed chiral theory, unlike the undeformed one, satisfies volume independence down to arbitrarily small volumes (a working Eguchi-Kawai reduction) in the large N limit. This equivalence may open new perspectives on strong coupling chiral gauge theories on R4.
AB - Strong coupling dynamics of Yang-Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can address nonperturbative properties of chiral, nonsupersymmetric gauge theories, in particular, chiral quiver theories on S1×R3. Double-trace deformations are used to stabilize the center-symmetric vacuum. This allows one to smoothly connect small-r(S1) to large-r(S1) physics (R4 is the limiting case) where the double-trace deformations are switched off. In particular, the occurrence of the mass gap in the gauge sector and linear confinement due to bions are analytically demonstrated. We find the pattern of the chiral symmetry realization which depends on the structure of the monopole-ring operators, a novel class of topological excitations. The deformed chiral theory, unlike the undeformed one, satisfies volume independence down to arbitrarily small volumes (a working Eguchi-Kawai reduction) in the large N limit. This equivalence may open new perspectives on strong coupling chiral gauge theories on R4.
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U2 - 10.1103/PhysRevD.79.105010
DO - 10.1103/PhysRevD.79.105010
M3 - Article
AN - SCOPUS:66749083363
SN - 1550-7998
VL - 79
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 10
M1 - 105010
ER -