Interpretingf0(600) anda0(980) as \hbox{\itshape\=q}q states from anNf= 3 sigma model with (axial-)vectors

The quest for light scalar quarkonia from an N f = 3 linear sigma model with vectors and axial - vectors

We address the question whether it is possible to interpret the low-lying scalar mesons f 0 (600) and a 0 (980) as ¯ qq states within a U(3) × U(3) Linear Sigma Model containing vector and axial-vector degrees of freedom. c Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.

× U ( 3 ) Linear Sigma Model

Quantum States from Tangent Vectors

We argue that tangent vectors to classical phase space give rise to quantum states of the corresponding quantum mechanics. This is established for the case of complex, finite–dimensional, compact, classical phase spaces C, by explicitly constructing Hilbert–space vector bundles over C. We find that these vector bundles split as the direct sum of two holomorphic vector bundles: the holomorphic t...

DCC dynamics with the SU ( 3 ) linear sigma model ∗

The SU(3) extension of the linear sigma model is employed to elucidate the effect of including strangeness on the formation of disoriented chiral condensates. By means of a Hartree factorization, approximate dispersion relations for the 18 scalar and pseudoscalar meson species are derived and their selfconsistent solution makes it possible to trace out the thermal path of the two order paramete...

3 Definability and a Nonlinear Sigma Model

The concept of definability of physics fields is introduced and a set-theoretical foundation is proposed. In this foundation, we obtain a scale invariant nonlinear sigma model and then show that quantization of the model is necessary and sufficient for definability. We also obtain com-pactification of the spatial dimensions effectively and show its equivalence to quantization. We look to provid...