59 research outputs found
The Holographic Models of the scalar sector of QCD
We investigate the AdS/QCD duality for the two-point correlation functions of
the lowest dimension scalar meson and scalar glueball operators, in the case of
the Soft Wall holographic model of QCD. Masses and decay constants as well as
gluon condensates are compared to their QCD estimates. In particular, the role
of the boundary conditions for the bulk-to-boundary propagators is emphasized.Comment: Invited talk at the 5th International Conference on Quarks and
Nuclear Physics QNP'09, Beijing, China, 21-26 September 2009. To be published
in Chinese Physics
Quark-antiquark bound state equation in the Wilson loop approach with minimal surfaces
The quark-antiquark gauge invariant Green function is studied through its
dependence on Wilson loops. The latter are saturated, in the large Nc limit and
for large contours, by minimal surfaces. A covariant bound state equation is
derived which in the center-of-mass frame and at equal-times takes the form of
a Breit-Salpeter type equation. The large-distance interaction potentials
reduce in the static case to a confining linear vector potential. In general,
the interaction potentials involve contributions having the structure of flux
tube like terms.Comment: 9 pages, 4 figures. Talk given by H.S. at the Workshop QCD at Work
2005, Conversano, Italy, 16-20 June 2005. To appear in the Proceedings (AIP
Quarkonium bound state equation in the Wilson loop approach with minimal surfaces
Wilson loop averages are evaluated for large contours and in the large N
limit by means of minimal surfaces. This allows the study of the
quark-antiquark gauge invariant Green function through its dependence on Wilson
loops. A covariant bound state equation is derived which in the center-of-mass
frame and at equal-times takes the form of a Breit-Salpeter type equation. The
interaction potentials reduce in the static case to a confining linear vector
potential. For moving quarks, flux tube like contributions are present. The
nonrelativistic limit is considered.Comment: 10 pages, 2 figures. Talk given by H.S. at the Workshop Hadron
Structure and QCD, Repino, St. Petersburg, Russia, 18-22 May 2004. To appear
in the Proceeding
Sum rules for leading and subleading form factors in Heavy Quark Effective Theory using the non-forward amplitude
Within the OPE, we the new sum rules in Heavy Quark Effective Theory in the
heavy quark limit and at order 1/m_Q, using the non-forward amplitude. In
particular, we obtain new sum rules involving the elastic subleading form
factors chi_i(w) (i = 1,2, 3) at order 1/m_Q that originate from the L_kin and
L_mag perturbations of the Lagrangian. To the sum rules contribute only the
same intermediate states (j^P, J^P) = ((1/2)^-, 1^-), ((3/2)^-, 1^-) that enter
in the 1/m_Q^2 corrections of the axial form factor h_(A_1)(w) at zero recoil.
This allows to obtain a lower bound on -delta_(1/m^2)^(A_1) in terms of the
chi_i(w) and the shape of the elastic IW function xi(w). An important
theoretical implication is that chi'_1(1), chi_2(1) and chi'_3(1) (chi_1(1) =
chi_3(1) = 0 from Luke theorem) must vanish when the slope and the curvature
attain their lowest values rho^2->3/4, sigma^2->15/16. These constraints should
be taken into account in the exclusive determination of |V_(cb)|.Comment: Invited talk to the International Workshop on Quantum Chromodynamics
: Theory and Experiment, Conversano (Bari, Italy), 16-20 June 200
Lagrangian perturbations at order 1/m and the non-forward amplitude in Heavy Quark Effective Theory
We pursue the program of the study of the non-forward amplitude in HQET. We
obtain new sum rules involving the elastic subleading form factors
at order that originate from the and
perturbations of the Lagrangian. To obtain these sum rules we
use two methods. On the one hand we start simply from the definition of these
subleading form factors and, on the other hand, we use the Operator Product
Expansion. To the sum rules contribute only the same intermediate states that enter in the
corrections of the axial form factor at zero recoil.
This allows to obtain a lower bound on in terms of
the and the shape of the elastic IW function . We find
also lower bounds on the correction to the form factors and
at zero recoil. An important theoretical implication is that , and ( from Luke
theorem) must vanish when the slope and the curvature attain their lowest
values , . We discuss
possible implications on the precise determination of
Explicit form of the Isgur-Wise function in the BPS limit
Using previously formulated sum rules in the heavy quark limit of QCD, we
demonstrate that if the slope rho^2 = -xi'(1) of the Isgur-Wise function xi(w)
attains its lower bound 3/4, then all the derivatives (-1)^L xi^(L)(1) attain
their lower bounds (2L+1)!!/2^(2L), obtained by Le Yaouanc et al. This implies
that the IW function is completely determined, given by the function xi(w) =
[2/(w+1)]^(3/2). Since the so-called BPS condition proposed by Uraltsev implies
rho^2 = 3/4, it implies also that the IW function is given by the preceding
expression.Comment: 19 page
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