Fe b 20 03 Resolution of the pion puzzle : the QCD string in Nambu - Goldstone mesons
نویسنده
چکیده
Pions and kaons have double nature: the chiral dynamics of Nambu-Goldstone bosons together with the usual string dynamics common to all mesons. To uncover the interplay of both dynamics the effective chiral Lagrangian is derived from the QCD Lagrangian using the Field Correlator Method and the pion self-energy (mass) operator is written explicitly. The latter contains an infinite number of poles, but normalized to zero at zero momentum because of spontaneous chiral symmetry breaking. As a result one obtains the Gell-Mann-Oakes-Renner relation for the ground state pion and (slightly shifted by chiral dynamics) the usual spectrum of radially excited pions starting with π(1300).
منابع مشابه
0 v 2 3 J ul 2 00 3 Resolution of the pion puzzle : the QCD string in Nambu - Goldstone mesons
Pions and kaons have double nature: the chiral dynamics of Nambu-Goldstone bosons together with the usual string dynamics common to all mesons. To uncover the interplay of both dynamics the effective chiral Lagrangian is derived from the QCD Lagrangian using the Field Correlator Method and the pion self-energy (mass) operator is written explicitly. The latter contains an infinite number of pole...
متن کاملar X iv : h ep - p h / 04 04 13 2 v 2 3 0 Ju n 20 04 Signal of the Pion String at LHC Pb - Pb Collisions
We study the possible signals of a pion string associated with the QCD chiral phase transition in LHC Pb Pb collision at energy √ s = 5.5 TeV. In terms of the Kibble-Zurek mechanism we discuss the production and evolution of the pion string. The pion string is not topologically stable, it decays into neutral pions and sigma mesons which in turn decay into pions. We estimate the numbers of the p...
متن کاملar X iv : h ep - p h / 03 08 23 0 v 3 2 5 Se p 20 03 Are there non - strange low - lying penta - quarks and can we understand their width
We argue that the lightest isospin 1/2 partners of the Z + (1530) ¯ suudd penta-quark predicted by Diakonov, Petrov and Polyakov are not the N(1710) mixed anti-decuplet states, but the pure non-strange ¯ u(ud)(ud) and ¯ d(ud)(ud) penta-quark states which may lie as low as 1200 MeV. The expected low width of a few MeV of such a putative state may explain why it was missed in phase shift analyzes...
متن کاملFe b 20 03 Adiabatic potentials and spectra of heavy hybrid mesons
Using the QCD string approach the adiabatic potentials and spectra of b ¯ b-hybrid mesons are calculated. The results are compared to lattice studies. 1. An assumption about existence of the hybrid mesons consisting of valence quark and antiquark and valence gluon was made for the first time by Okun and Vainshtein [1] just afterwards the QCD appeared. Last decade was a time of intensive studies...
متن کاملChiral Symmetry in the String Representation of the Large N QCD
We use the worldline representation of the one loop fermionic effective action to obtain the vertex functions that describe mesons in a possible string representation of the large N QCD. These vertex functions are then applied to study the chiral limit of the theory. We find that the propagator constructed from the vertex function V0, which would describes a tachyon in the open Nambu-Goto boson...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003