ar X iv : 0 70 6 . 21 91 v 2 [ he p - ph ] 1 6 Ju l 2 00 7 Phases of Dense Quarks at Large N c

ar X iv : 0 70 6 . 21 91 v 1 [ he p - ph ] 1 4 Ju n 20 07 Phases of Cold , Dense Quarks at Large N c

We consider QCD at nonzero temperature and quark density in the limit of a large number of colors, Nc. We suggest that several distinct phases can arise. Two are familiar: a cold phase of confined hadrons, with a pressure ∼ N c , and hot phase of deconfined gluons, with pressure ∼ N c . For cold, dense quarks, in a narrow (∼ 1/N c ) window for the quark chemical potential, μ, there is first a d...

ar X iv : 0 70 8 . 34 27 v 1 [ he p - la t ] 2 5 A ug 2 00 7 Meson masses at large N c

We analyze the meson spectrum in SU(N c) lattice gauge theory. We use Wilson quarks to measure the pseudoscalar and vector masses in SU(2), SU(3), SU(4) and SU(6), and extrapolate to the large–N c limit. We find that finite–N c corrections are small at all values of the quark mass.

ar X iv : m at h - ph / 0 60 70 40 v 1 2 0 Ju l 2 00 6 Invariant Form of BK - factorization and its Applications

ar X iv : 0 70 7 . 30 97 v 1 [ he p - th ] 2 0 Ju l 2 00 7 On Matrix Realizations of the Contact Superconformal Algebra K̂

The superalgebra K̂ ′(4) and the exceptional N = 6 superconformal algebra have “small” irreducible representations in the superspaces V μ = tC[t, t−1] ⊗ Λ(N), where N = 2 and 3, respectively. For μ ∈ C\Z they are associated to the embeddings of these superalgebras into the Lie superalgebras of pseudodifferential symbols on the supercircle S1|N . In this work we describe K̂ ′(4) and the exceptiona...

ar X iv : 0 70 7 . 40 06 v 1 [ he p - th ] 2 6 Ju l 2 00 7 Two - loop Gell - Mann – Low function of N = 1 supersymmetric

Two-loop Gell-Mann–Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives. Abstract Two-loop Gell-Mann–Low function is calculated for N=1 supersymmetric Yang– Mills theory, regularized by higher covariant derivatives. The integrals, which define it, are shown to be reduced to total derivatives and can be easily calculated analytically .