We consider brane configurations in M-theory describing N = 1 supersymmetric gauge theories. Using the parametric representation of the brane configurations, we calculate the superpotentials for various cases including multiple gauge groups or fermions. For SU(n) N = 1 SQCD with Nf fermion case (Nf < Nc), we find that the superpotential from M-theory and the gauge theory agree precisly. This gi...

For a class of bounded random selfadjoint operators (Lu)(n) =

A formalism is presented where gauge theories for nonabelian groups can be constructed on a noncommutative algebra.

We explore the effect of higher order operators in the non-relativistic formulation of QCD (NRQCD). We calculated masses in the bb̄-spectrum using quenched gauge configurations at β = 6.0 and two different NRQCD actions which have been corrected to order mv and mv. The two-point functions are calculated in a gauge invariant fashion. We find the general structure of the spectrum to be the same in...

We summarize the theory and phenomenology of the Color Glass Condensate reviewed previously by E. Iancu and the author in hep-ph/0303204. In addition, we discuss some of the subsequent developments in the past year both in theory and in phenomenological applications.

We extend Zirnbauer’s color-flavor transformation in the bosonic sector to the color group SU(Nc). Because the flavor group U(Nb, Nb) is non-compact, the algebraic method by which the original color-flavor transformation was derived leads to a useful result only for 2Nb ≤ Nc. Using the character expansion method, we obtain a different form of the transformation in the extended range Nb ≤ Nc. Th...

In this article we show that the Rb−αs crisis of the SM can be resolved in a commuting TC scenario with sideways gauge bosons only if the ETC representation contains mirror technifermions. For a toy ETC model we estimate the value of ξ t = gE,L/g U E,R that is needed to produce the observed LEP excess in Rb. It is also shown that the same value of ξ t resolvs the αs crisis of the SM but produce...

In this article we examine some points in the moduli space of M-Theory at which there arise enhanced gauge symmetries. In particular, we examine the “trivial” points of enhanced gauge symmetry in the moduli space of M-Theory on S × S1/Z2 as well as the points of enhanced gauge symmetry in the moduli space of M-Theory on K3 and those in the moduli space of M-Theory on T 5/Z2 × S. Also, we employ...

[Abstract] A gauge field model, which simultaneously has strict local gauge symmetry and massive gauge bosons, is discussed in this paper. The model has SU(N) gauge symmetry. In the limit α −→ 0, the gauge field model discussed in this paper will return to Yang-Mills gauge field model. The important meaning of this model is that, without Higgs mechanism, gauge bosons can also obtain masses. Thi...

We explore vacua of the U (N) gauge model with N = 2 supersymmetry recently constructed in hep-th/0409060. In addition to the vacuum previously found with unbroken U (N) gauge symmetry in which N = 2 supersymmetry is partially broken to N = 1, we find cases in which the gauge symmetry is broken to a product gauge group n i=1 U (N i). The N = 1 vacua are selected by the requirement of a positive...