1,049 research outputs found
On some properties of the space of upper semicontinuous functions
For a Tychonoff space , we will denote by () a set of
all real-valued upper semicontinuous functions (a set of all Baire functions of
class 1) defined on endowed with the pointwise convergence topology. In
this paper we describe a class of Tychonoff spaces for which the space
is sequentially separable. Unexpectedly, it turns out that this
class coincides with the class of spaces for which a stronger form of the
sequential separability for the space holds.Comment: 7 page
On sequential separability of functional spaces
In this paper, we give necessary and sufficient conditions for the space
B_1(X) of first Baire class functions on a Tychonoff space X, with pointwise
topology, to be (strongly) sequentially separable.Comment: 8 page
Eight-quark interactions as a chiral thermometer
A NJL Lagrangian extended to six and eight quark interactions is applied to
study temperature effects (SU(3) flavor limit, massless case), and (realistic
massive case). The transition temperature can be considerably reduced as
compared to the standard approach, in accordance with recent lattice
calculations. The mesonic spectra built on the spontaneously broken vacuum
induced by the 't Hooft interaction strength, as opposed to the commonly
considered case driven by the four-quark coupling, undergoes a rapid crossover
to the unbroken phase, with a slope and at a temperature which is regulated by
the strength of the OZI violating eight-quark interactions. This strength can
be adjusted in consonance with the four-quark coupling and leaves the spectra
unchanged, except for the sigma meson mass, which decreases. A first order
transition behavior is also a possible solution within the present approach.Comment: 4 pages, 4 figures, prepared for the proceedings of Quark Matter 2008
- 20th International Conference on Ultra-Relativistic Nucleus Nucleus
Collisions, February 4-10, Jaipur (India
- …