A bstract The chiral symmetry breaking (χ sb ) is one of the most fundamental problems in QCD. In this paper, we calculate quark condensation analytically a holographic QCD model dual to Einstein-Maxwell-Dilaton (EMD) system coupled probe scalar field. We find that black hole phase transition EMD seriously affects χ . At small chemical potential, behaves as crossover. For large potential μ >...

Analytic surgery, as defined in [9] and [6], is a one-parameter metric deformation of a Riemannian manifold M , which stretches M across a separating hypersurface H in a cylindrical fashion; the singular limit is a complete manifold with asymptotically cylindrical ends, M . In this paper, the analysis of [9] and [6] is used to study the behaviour of analytic torsion of unitary representations u...

One of the questions frequently asked nowadays about model theory is whether it is still logic. The reason for asking the question is mainly that more and more of model theoretic research focuses on concrete mathematical fields, uses extensively their tools and attacks their inner problems. Nevertheless the logical roots in the case of model theoretic geometric stability theory are not only cle...

We prove a conjecture of [3] giving a closed form formula for the norm of the Jack polynomials in superspace with respect to a certain scalar product. The proof is mainly combinatorial and relies on the explicit expression in terms of admissible tableaux of the non-symmetric Jack polynomials. In the final step of the proof appears an identity on weighted sums of partitions that we demonstrate u...

The paper is a contribution both to the theoretical foundations and to the actual construction of efficient automatizable proof procedures for non-classical logics. We focus here on the case of finite-valued logics, and exhibit: (i) a mechanism for producing a classic-like description of them in terms of an effective variety of bivalent semantics; (ii) a mechanism for extracting, from the bival...

The following text is an annotation to Marc A. A. van Leeuwen's paper " Tableau algorithms defined naturally for pictures " in its version of 25 November 2011. This annotation contains corrections of a few mistakes. Different comments are separated by horizontal lines, like this: Page 1, §1: Replace " as a tableaux " by " as tableaux ". Page 3, §2.2: Replace " The the non-empty " by " The non-e...

Let P be the Gelfand–Tsetlin polytope defined by the skew shape λ/μ and weight w. In the case corresponding to a standard Young tableau, we completely characterize for which shapes λ/μ the polytope P is integral. Furthermore, we show that P is a compressed polytopewhenever it is integral and corresponds to a standard Young tableau.We conjecture that a similar property holds for arbitraryw, name...