Color-flavor transformations and QCD low-energy effective action

Budzcies, J.; Shnir, Ya.
March 2000
AIP Conference Proceedings;2000, Vol. 508 Issue 1, p172
Academic Journal
The color-flavor transformation is applied in the QCD strong coupling limit to construct the effective chiral Lagrangian. The calculations are performed by placing the fermions onto two different sub-lattices and by making use of the long-distance approximation and gradient expansion. The saddle point approximation could be applied on such a double lattice. In this framework the effect of the spontaneous chiral symmetry breaking is described and the numerical values of the chiral condensate, pion decay constant and pion mass are estimated by using the only parameter of model, the lattice spacing a. The effective chiral Lagrangian of QCD is recovered up to the terms of order O(p[sup 4]). © 2000 American Institute of Physics.


Related Articles

  • New phase in the Nambu—Jona-Lasinio model for nonzero values of the chemical potential. Vshivtsev, A. S.; Klimenko, K. G. // JETP Letters;9/10/96, Vol. 64 Issue 5, p338 

    It is shown that in the Nambu–Jona-Lasinio model with nonzero chemical potential there exist two different phases with spontaneous breaking of chiral symmetry and the transition between the phases is a second-order phase transition. The particle number density is nonzero in one phase and...

  • Chiral Breit-Wigner. Arantes, L. O.; Robilotta, M. R. // AIP Conference Proceedings;2006, Vol. 814 Issue 1, p685 

    Chiral symmetry and unitarization are combined into generalized Breit-Wigner expressions describing scalar resonances, which contain free parameters and allow flexible descriptions of masses, widths and pole positions. This theoretical tool is especially designed to be used in analyses of...

  • Meson Form Factors in the Quark-Level LσM. Scadron, M. D.; Kleefeld, F.; Rupp, G.; van Beveren, E. // AIP Conference Proceedings;2003, Vol. 660 Issue 1, p311 

    We study meson (π,K) form factors in general, and specialize at a later stage to a specific scheme, namely the quark-level linear σ model (LσM). We compute a variety of electromagnetic and weak observables of light mesons, including pion and kaon form factors and charge radii,...

  • Criterium for the index theorem on the lattice. Bicudo, Pedro // AIP Conference Proceedings;2003, Vol. 660 Issue 1, p130 

    We study how far the Index Theorem can be extrapolated from the continuum to finite lattices with finite topological charge densities. To examine how the Wilson action approximates the Index theorem, we specialize in the lattice version of the Schwinger model. We propose a new criterion for...

  • QCD string and chiral symmetry. Andrianov, A. A.; Espriu, D. // AIP Conference Proceedings;2003, Vol. 660 Issue 1, p17 

    We assume that QCD can be described in a certain kinematical regime by an effective string theory. This hadronic string must couple to background chiral fields in a chirally invariant manner, taking into account the true chirally non-invariant QCD vacuum. By requiring conformal symmetry of the...

  • Mesons at Large NC. Pich, A. // AIP Conference Proceedings;2003, Vol. 660 Issue 1, p3 

    The N[SUBC] → ∞ limit of QCD gives a useful approximation scheme to the physical hadronic world. A brief overview of the mesonic sector is presented. The large-N[SUBC] constraints on the low-energy couplings of Chiral Perturbation Theory are summarized and the role of unitarity...

  • Do instantons like a colorful background? Gies, H.; Jaeckel, J.; Pawlowski, J.M.; Wetterich, C. // European Physical Journal C -- Particles & Fields;Mar2007, Vol. 49 Issue 4, p997 

    We investigate chiral symmetry breaking and color symmetry breaking in QCD. The effective potential of the corresponding scalar condensates is discussed in the presence of non-perturbative contributions from the semiclassical one-instanton sector. We concentrate on a color singlet scalar...

  • Constraints on nuclear-matter properties from QCD susceptibilities. Ericson, M.; Chanfray, G. // European Physical Journal A -- Hadrons & Nuclei;Nov2007, Vol. 34 Issue 2, p215 

    In the framework of chiral theories, we establish the interrelation between the responses of the nuclear medium to probes which couple either to the quark scalar density fluctuation ( i.e. the scalar susceptibility of quantum chromodynamics) or to the nucleonic ones. The second case concerns in...

  • Pion and Kaon Masses and Pion Form Factors from Dynamical Chiral-Symmetry Breaking with Light Constituent Quarks. Scadron, Michael D.; Kleefeld, Frieder; Rupp, George // AIP Conference Proceedings;2007, Vol. 892 Issue 1, p293 

    Light constituent quark masses and the corresponding dynamical quark masses are determined by data, the quark-level linear σ model, and infrared QCD. This allows to define effective nonstrange and strange current quark masses, which reproduce the experimental pion and kaon masses very...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics