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...

Gauge fixing is a frequent task encountered in practical lattice gauge theory calculations. We review the performance characteristics of some standard gauging procedures for non-Abelian gauge theories, implemented on the parallel machines CM2 and CM5. †

We investigate critical properties of the phase transition in the four-dimensional compact U(1) lattice gauge theory supplemented by a monopole term for values of the monopole coupling λ such that the transition is of second order. It has been previously shown that at λ = 0.9 the critical exponent is already characteristic of a second-order transition and that it is different from the one of th...

The calculation of QCD corrections to the width difference ∆Γ in the Bs-meson system is presented. The next-to-leading order corrections reduce the dependence on the renormalization scale significantly and allow for a meaningful use of hadronic matrix elements from lattice gauge theory. At present the uncertainty of the lattice calculations limits the prediction of ∆Γ. The presented work has be...

We discuss the question of what type and scale of supersymmetry breaking might be statistically favored among vacua of string/M theory, building on comments in Denef and Douglas, hep-th/0404116.