428 research outputs found
Polarized rho mesons and the asymmetry between Delta d^bar(x) and Delta u^bar(x) in the sea of the nucleon
We present a calculation of the polarized rho meson cloud in a nucleon using
time-ordered perturbation theory in two different variants advocated in the
literature. We calculate the induced difference between the distributions Delta
d^bar(x) and Delta u^bar(x). We use a recent lattice calculation to motivate an
ansatz for the polarized valence quark distribution of the rho meson. Our
calculations show that the two theoretical approaches give vastly different
results. We conclude that Delta d^bar(x) - Delta u^bar(x) can be of relevant
size with important consequences for the combined fits of polarized
distribution functions.Comment: 14 pages LaTeX, 8 figures; v3: some minor changes; this preprint
supports the version to appear in Phys. Lett. B with an additional appendi
Chiral Dynamics of Low-Energy Kaon-Baryon Interactions with Explicit Resonance
The processes involving low energy and interactions (where
or ) are studied in the framework of heavy baryon chiral
perturbation theory with the (1405) resonance appearing as an
independent field.
The leading and next-to-leading terms in the chiral expansion are taken into
account. We show that an approach which explicitly includes the (1405)
resonance as an elementary quantum field gives reasonable descriptions of both
the threshold branching ratios and the energy dependence of total cross
sections.Comment: 16 pages, 6 figure
QFT with Twisted Poincar\'e Invariance and the Moyal Product
We study the consequences of twisting the Poincare invariance in a quantum
field theory. First, we construct a Fock space compatible with the twisting and
the corresponding creation and annihilation operators. Then, we show that a
covariant field linear in creation and annihilation operators does not exist.
Relaxing the linearity condition, a covariant field can be determined. We show
that it is related to the untwisted field by a unitary transformation and the
resulting n-point functions coincide with the untwisted ones. We also show that
invariance under the twisted symmetry can be realized using the covariant field
with the usual product or by a non-covariant field with a Moyal product. The
resulting S-matrix elements are shown to coincide with the untwisted ones up to
a momenta dependent phase.Comment: 11 pages, references adde
Quantum Extremism: Effective Potential and Extremal Paths
The reality and convexity of the effective potential in quantum field
theories has been studied extensively in the context of Euclidean space-time.
It has been shown that canonical and path-integral approaches may yield
different results, thus resolving the `convexity problem'. We discuss the
transferral of these treatments to Minkowskian space-time, which also
necessitates a careful discussion of precisely which field configurations give
the dominant contributions to the path integral. In particular, we study the
effective potential for the N=1 linear sigma model.Comment: 11 pages, 4 figure
Relativistic Point-Coupling Models as Effective Theories of Nuclei
Recent studies have shown that concepts of effective field theory such as
naturalness can be profitably applied to relativistic mean-field models of
nuclei. Here the analysis by Friar, Madland, and Lynn of naturalness in a
relativistic point-coupling model is extended. Fits to experimental nuclear
data support naive dimensional analysis as a useful principle and imply a
mean-field expansion analogous to that found for mean-field meson models.Comment: 26 pages, REVTeX 3.0 with epsf.sty, plus 5 figure
On the CP-odd Nucleon Potential
The CP-odd nucleon potential for different models of CP violation in the one
meson exchange approximation is studied. It is shown that the main contribution
is due to the -meson exchange which leads to a simple one parameter CP-odd
nucleon potential.Comment: 12 pages, RevTex, UM-P-92/114, OZ-92/3
A Chiral Effective Lagrangian for Nuclei
An effective hadronic lagrangian consistent with the symmetries of quantum
chromodynamics and intended for applications to finite-density systems is
constructed. The degrees of freedom are (valence) nucleons, pions, and the
low-lying non-Goldstone bosons, which account for the intermediate-range
nucleon-nucleon interactions and conveniently describe the nonvanishing
expectation values of nucleon bilinears. Chiral symmetry is realized
nonlinearly, with a light scalar meson included as a chiral singlet to describe
the mid-range nucleon-nucleon attraction. The low-energy electromagnetic
structure of the nucleon is described within the theory using vector-meson
dominance, so that external form factors are not needed. The effective
lagrangian is expanded in powers of the fields and their derivatives, with the
terms organized using Georgi's ``naive dimensional analysis''. Results are
presented for finite nuclei and nuclear matter at one-baryon-loop order, using
the single-nucleon structure determined within the model. Parameters obtained
from fits to nuclear properties show that naive dimensional analysis is a
useful principle and that a truncation of the effective lagrangian at the first
few powers of the fields and their derivatives is justified.Comment: 43 pages, REVTeX 3.0 with epsf.sty, plus 12 figure
Convergence of the Born Series with Low-Momentum Interactions
The nonperturbative nature of nucleon-nucleon interactions as a function of a
momentum cutoff is studied using Weinberg eigenvalues as a diagnostic. This
investigation extends an earlier study of the perturbative convergence of the
Born series to partial waves beyond the 3S1-3D1 channel and to positive
energies. As the cutoff is lowered using renormalization-group or model-space
techniques, the evolution of nonperturbative features at large cutoffs from
strong short-range repulsion and the iterated tensor interaction are monitored
via the complex Weinberg eigenvalues. When all eigenvalues lie within the unit
circle, the expansion of the scattering amplitude in terms of the interaction
is perturbative, with the magnitude of the largest eigenvalue setting the rate
of convergence. Major decreases in the magnitudes of repulsive eigenvalues are
observed as the Argonne v18, CD-Bonn or Nijmegen potentials are evolved to low
momentum, even though two-body observables are unchanged. For chiral EFT
potentials, running the cutoff lower tames the impact of the tensor force and
of new nonperturbative features entering at N3LO. The efficacy of separable
approximations to nuclear interactions derived from the Weinberg analysis is
studied as a function of cutoff, and the connection to inverse scattering is
demonstrated.Comment: 21 pages, 15 figures, minor additions, to appear in Nucl. Phys.
Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
The nonperturbative nature of nucleon-nucleon interactions evolved to low
momentum has recently been investigated in free space and at finite density
using Weinberg eigenvalues as a diagnostic. This analysis is extended here to
the in-medium eigenvalues near the Fermi surface to study pairing. For a fixed
value of density and cutoff Lambda, the eigenvalues increase arbitrarily in
magnitude close to the Fermi surface, signaling the pairing instability. When
using normal-phase propagators, the Weinberg analysis with complex energies
becomes a form of stability analysis and the pairing gap can be estimated from
the largest attractive eigenvalue. With Nambu-Gorkov Green's functions, the
largest attractive eigenvalue goes to unity close to the Fermi surface,
indicating the presence of bound states (Cooper pairs), and the corresponding
eigenvector leads to the self-consistent gap function.Comment: 16 pages, 9 figure
Finite Temperature Effective Potential for the Abelian Higgs Model to the Order
A complete calculation of the finite temperature effective potential for the
abelian Higgs model to the order is presented and the result is
expressed in terms of physical parameters defined at zero temperature. The
absence of a linear term is verified explicitly to the given order and proven
to survive to all orders. The first order phase transition has weakened in
comparison with lower order calculation, which shows up in a considerable
decrease of the surface tension. The only difference from the original version
is the splitting of some overlong lines causing problems with certain mailers.Comment: 13 pages LaTex ( figures not included , hardcopy available on request
: [email protected] or t00heb@dhhdesy3 ) , DESY 93-08
- …