114 research outputs found
On (non-Hermitian) Lagrangeans in (particle) physics and their dynamical generation
On the basis of a new method to derive the effective action the
nonperturbative concept of "dynamical generation" is explained. A non-trivial,
non-Hermitian and PT-symmetric solution for Wightman's scalar field theory in
four dimensions is dynamically generated, rehabilitating Symanzik's precarious
phi**4-theory with a negative quartic coupling constant as a candidate for an
asymptotically free theory of strong interactions. Finally it is shown making
use of dynamically generation that a Symanzik-like field theory with scalar
confinement for the theory of strong interactions can be even suggested by
experiment.Comment: 12 pages, no figures, accepted for publication in Czech.J.Phys.,
revised with respect to obvious typo
The Equivalence Theorem and Effective Lagrangians
We point out that the equivalence theorem, which relates the amplitude for a
process with external longitudinally polarized vector bosons to the amplitude
in which the longitudinal vector bosons are replaced by the corresponding
pseudo-Goldstone bosons, is not valid for effective Lagrangians. However, a
more general formulation of this theorem also holds for effective interactions.
The generalized theorem can be utilized to determine the high-energy behaviour
of scattering processes just by power counting and to simplify the calculation
of the corresponding amplitudes. We apply this method to the phenomenologically
most interesting terms describing effective interactions of the electroweak
vector and Higgs bosons in order to examine their effects on vector-boson
scattering and on vector-boson-pair production in annihilation. The
use of the equivalence theorem in the literature is examined.Comment: 20 pages LaTeX, BI-TP 94/1
Top Radiative Corrections in Non-minimal Standard Models
We derive the one-loop effective action induced by a heavy top in models with
an extended Higgs sector. We use the effective action to analyze the top
corrections to the parameter and to the Higgs-gauge boson couplings. We
show that in models with at tree-level, one does not lose
generally the bound on from the parameter.Comment: 9 pages, phyzzx file, UPR-0603T. (a new reference has been added
Lorentz and CPT Violating Chern-Simons Term in the Derivative Expansion of QED
We calculate by the method of dimensional regularization and derivative
expansion the one-loop effective action for a Dirac fermion with a
Lorentz-violating and CPT-odd kinetic term in the background of a gauge field.
We show that this term induces a Chern-Simons modification to Maxwell theory.
Some related issues are also discussed.Comment: 6 pages, no figure, RevTex, A revised versio
Quantum Kinks: Solitons at Strong Coupling
We examine solitons in theories with heavy fermions. These ``quantum''
solitons differ dramatically from semi-classical (perturbative) solitons
because fermion loop effects are important when the Yukawa coupling is strong.
We focus on kinks in a --dimensional theory coupled to
fermions; a large- expansion is employed to treat the Yukawa coupling
nonperturbatively. A local expression for the fermion vacuum energy is derived
using the WKB approximation for the Dirac eigenvalues. We find that fermion
loop corrections increase the energy of the kink and (for large ) decrease
its size. For large , the energy of the quantum kink is proportional to ,
and its size scales as , unlike the classical kink; we argue that these
features are generic to quantum solitons in theories with strong Yukawa
couplings. We also discuss the possible instability of fermions to solitons.Comment: 21 pp. + 2 figs., phyzzx, JHU-TIPAC-92001
Effect of tensor couplings in a relativistic Hartree approach for finite nuclei
The relativistic Hartree approach describing the bound states of both
nucleons and anti-nucleons in finite nuclei has been extended to include tensor
couplings for the - and -meson. After readjusting the parameters
of the model to the properties of spherical nuclei, the effect of
tensor-coupling terms rises the spin-orbit force by a factor of 2, while a
large effective nucleon mass sustains. The overall
nucleon spectra of shell-model states are improved evidently. The predicted
anti-nucleon spectra in the vacuum are deepened about 20 -- 30 MeV.Comment: 31 pages, 4 postscript figures include
Tests for a Strong Electroweak Sector at Future e^+e^- High Energy Colliders
The study of the scattering at high energy of the gauge bosons W and Z, in
particular longitudinally polarized W and Z, can clarify the mechanism of
spontaneous symmetry breaking in the Standard Model of the electroweak
interactions. Different models of strong electroweak sector, based on the
effective lagrangian approach are briefly reviewed. They include models with no
resonance, with scalar resonance, additional vector and axial-vector
resonances. The effective Lagrangians are derived from the chiral symmetry of
the symmetry breaking sector. Limits on these models from existing
measurements, mainly LEP and Tevatron, are considered. We study also direct and
indirect effects of the new interactions at high energy future e^+e^- linear
colliders, through WW scattering and the direct production of these new vector
gauge bosons.Comment: 74 pages, 19 figures and 4 tables included, Latex, uses epsf, to
appear in La Rivista del Nuovo Cimento, some minor change
Unitary Standard Model from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC
Spontaneous dimensional reduction (SDR) is a striking phenomenon predicted by
a number of quantum gravity approaches which all indicate that the spacetime
dimensions get reduced at high energies. In this work, we formulate an
effective theory of electroweak interactions based upon the standard model,
incorporating the spontaneous reduction of space-dimensions at TeV scale. The
electroweak gauge symmetry is nonlinearly realized with or without a Higgs
boson. We demonstrate that the SDR ensures good high energy behavior and
predicts unitary weak boson scattering. For a light Higgs boson of mass 125GeV,
the TeV-scale SDR gives a natural solution to the hierarchy problem. Such a
light Higgs boson can have induced anomalous gauge couplings from the TeV-scale
SDR. We find that the corresponding WW scattering cross sections become unitary
at TeV scale, but exhibit different behaviors from that of the 4d standard
model. These can be discriminated by the WW scattering experiments at the LHC.Comment: 38pp, Eur.Phys.J.(in Press); extended discussions for testing non-SM
Higgs boson(125GeV) via WW scattering; minor clarifications added; references
added; a concise companion is given in the short PLB letter arXiv:1301.457
The Universal One-Loop Effective Action
We present the universal one-loop effective action for all operators of
dimension up to six obtained by integrating out massive, non-degenerate
multiplets. Our general expression may be applied to loops of heavy fermions or
bosons, and has been checked against partial results available in the
literature. The broad applicability of this approach simplifies one-loop
matching from an ultraviolet model to a lower-energy effective field theory
(EFT), a procedure which is now reduced to the evaluation of a combination of
matrices in our universal expression, without any loop integrals to evaluate.
We illustrate the relationship of our results to the Standard Model (SM) EFT,
using as an example the supersymmetric stop and sbottom squark Lagrangian and
extracting from our universal expression the Wilson coefficients of
dimension-six operators composed of SM fields.Comment: 30 pages, v2 contains additional comments and corrects typos, version
accepted for publication in JHE
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