Unitary Matrix Model of a Chiral [ SU ( N ) ] K Gauge Theory ⋆
نویسنده
چکیده
We build a matrix model of a chiral [SU(N)] gauge theory (SQCD5 deconstructed down to 4D) using random unitary matrices to model chiral bifundamental fields (N, N̄) (without (N̄,N)). We verify the duality by matching the loop equation of the matrix model to the anomaly equations of the gauge theory. Then we evaluate the matrix model’s free energy and use it to derive the effective superpotential for the gaugino condensates. ⋆ Research supported in part by the National Science Foundation (grants PHY–0071512 and PHY–0455649) and by the Office of Naval Research (Quantum Optics Initiative, grants N00014–03–1–0639 and N00014–04–1–0336.
منابع مشابه
SUNY-NTG-94/1 The
The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way. Abstract We argue that the spectrum of the QCD Dirac operator near zero virtuality can be described by random matrix theory. As in the case of classical random matrix ensembles of Dyson we have three different cases: the chiral orthogonal ensemble (chGOE), the chiral unitary ensemble (chGUE) and the chira...
متن کاملThe large-N expansion of unitary-matrix models
The general features of the 1/N expansion in statistical mechanics and quantum field theory are briefly reviewed both from the theoretical and from the phenomenological point of view as an introduction to a more detailed analysis of the large-N properties of spin and gauge models possessing the symmetry group SU(N )× SU(N ). An extensive discussion of the known properties of the single-link int...
متن کاملA ug 1 99 6 The large - N expansion of unitary - matrix models
The general features of the 1/N expansion in statistical mechanics and quantum field theory are briefly reviewed both from the theoretical and from the phenomenological point of view as an introduction to a more detailed analysis of the large-N properties of spin and gauge models possessing the symmetry group SU(N)× SU(N). An extensive discussion of the known properties of the single-link integ...
متن کاملنظریه میدان ناجابهجایی و پارامترهای نقض لورنتس در QED
Non-commutative field theory as a theory including the Lorentz violation can be constructed in two different ways. In the first method, the non-commutative fields are the same as the ordinary ones while the gauge group is restricted to U(n). For example, the symmetry group of standard model in non-commutative space is U(3)×(2)×U(1) which can be reduced to SU(3)×SU(2)×U(1) by two appropriate spo...
متن کاملMicroscopic Spectra of Dirac Operators and Finite-Volume Partition Functions
Exact results from random matrix theory are used to systematically analyse the relationship between microscopic Dirac spectra and finite-volume partition functions. Results are presented for the unitary ensemble, and the chiral analogs of the three classical matrix ensembles: unitary, orthogonal and symplectic, all of which describe universality classes of SU(Nc) gauge theories with Nf fermions...
متن کامل