QCD at finite chemical potential is analytically investigated in the region of large bare fermion masses. We show that, contrary to the general wisdom, the phase of the fermion determinant is irrelevant at zero temperature. However if the system is put at finite temperature, the contribution of the phase is finite. We also discuss on the quenched approximation and suggest that the origin of the...

Large, routing-capable adversaries such as nationstates have the ability to censor and launch powerful deanonymization attacks against Tor circuits that traverse their borders. Tor allows users to specify a set of countries to exclude from circuit selection, but this provides merely the illusion of control, as it does not preclude those countries from being on the path between nodes in a circui...

The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Laguerre–Sobolev bilinear form with mass point at zero. In particular we construct the orthogonal polynomials using certain Casorati determinants. Using this construction, we prove that they are eigenfunctions of a differential operator (which will be explicitly constructed). Moreover,...

TONICITY AND OXIDATIVE PHOSPHORYLATION 567 Slater, E. C. (1950). Nature, Lond., 168, 982. Slater, E. C. (1953). Biochem. J. 53, 521. Slater, E. C. & Bonner, W. D. jun. (1952). Biochem. J. 52, 185. Slater, E. C. & Cleland, K. W. (1952a). 2nd Int. Congr. Biochem. Ab8tr. p. 42. Slater, E. C. & Cleland, K. W. (1952 b). Nature, Lond., 170, 118. Slater, E. C. & Cleland, K. W. (1953). Biochem. J. (to ...

Without internal quark loops such basic phenomena as color charge screening and fast quark fragmentation into hadrons cannot be formulated. Accordingly, the fermion determinant is one of the central quantities in any ab initio lattice QCD calculation that will confront experiment. It is proposed to use analytic results for fermion determinants in QCD and QED as a check on extrapolated lattice f...

With the aim of the extension of the TDHF theory in the canonical form in the Lipkin model, the trial state for the variation is constructed, which is an extension of the Slater determinant. The canonicity condition is imposed to formulate the variational approach in the canonical form. A possible solution of the canonicity condition is given and the zero-point fluctuation induced by the uncert...

On the exact solutions of integrable models, there is a new classification way recently based on the property of associated spectral parameters [1]. Negatons, related to the negative spectral parameter, are usually expressed by hyperbolic functions, and positons are expressed by means of trigonometric functions related to the positive spectral parameters. The so-called complexiton, which is exp...

We investigate the effects of low-lying fermion modes on the QCD partition function in the ǫ-regime. With the overlap Dirac operator we calculate several tens of low-lying fermion eigenvalues on the quenched lattice. By partially incorporating the fermion determinant through the truncated determinant approximation, we calculate the partition function and other related quantities for Nf = 1 and ...

Hankel matrices consisting of Catalan numbers have been analyzed by various authors. DesainteCatherine and Viennot found their determinant to be ∏ 1≤i≤j≤k i+j+2n i+j and related them to the Bender Knuth conjecture. The similar determinant formula ∏ 1≤i≤j≤k i+j−1+2n i+j−1 can be shown to hold for Hankel matrices whose entries are successive middle binomial coefficients (2m+1 m ) . Generalizing t...

Let φ : C2×C2 → C, φ((x1, x2), (y1, y2)) = (x1 −y1) +(x2 −y2). We say that f : R → C preserves distance d ≥ 0 if for each x, y ∈ R φ(x, y) = d implies φ(f(x), f(y)) = d. We prove that if x, y ∈ R and |x − y| = (2 √ 2/3) · ( √ 3) (k, l are non-negative integers) then there exists a finite set {x, y} ⊆ Sxy ⊆ R such that each unit-distance preserving mapping from Sxy to C 2 preserves the distance ...